当前期刊: Open Systems & Information Dynamics Go to current issue    加入关注   
显示样式:        排序: IF: - GO 导出
我的关注
我的收藏
您暂时未登录!
登录
  • Few Remarks on Quasi Quantum Quadratic Operators on 𝕄2(ℂ)
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-08-28
    Farrukh Mukhamedov; Sondos M. Syam; Shamma A.Y. Almazrouei

    The present paper deals with a connection between quantum quadratic operators (QQOs) and quasi QQOs on 𝕄2(ℂ). We show that QQOs and quasi QQOs on 𝕄2(ℂ) coincide in the class of Volterra type of operators. To establish this result, we first describe these two kind of operators on the commutative part of 𝕄2(ℂ). Furthermore, in the last section, we introduce a quantum analogue of Volterra operators

    更新日期:2020-10-21
  • Dynamic Correlations in Open Quantum Systems: The Dephasing Model
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-08-28
    Vasyl’ Ignatyuk

    We study the dynamical correlations in open quantum systems on an example of an exactly solvable dephasing model. The system of non-Markovian kinetic equations for the generalized coherence and quasi-temperature is derived up to the 2-nd order in the coupling constant using the generalized quantum master equation [20]. Numerical and analytical solutions of the kinetic equations are obtained. The analytical

    更新日期:2020-08-31
  • Rényi Entropy and Rényi Divergence in Sequential Effect Algebra
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-08-28
    Zahra Eslami Giski

    The aim of this study is to extend the results concerning the Shannon entropy and Kullback–Leibler divergence in sequential effect algebra to the case of Rényi entropy and Rényi divergence. For this purpose, the Rényi entropy of finite partitions in sequential effect algebra and its conditional version are proposed and the basic properties of these entropy measures are derived. In addition, the notion

    更新日期:2020-08-31
  • Quantum Error Correction in the Presence of Initial System-Environment Correlations
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-08-28
    A. Türkmen; A. Verçin

    Quantum error correction is studied in a framework consisting of an open quantum system and its environment, jointly subjected to a unitary action, and an interaction-free reference system. It has been shown that coherent information between the initially correlated open system and reference system is conserved in the transmission stage of any quantum communication process, provided that the tripartite

    更新日期:2020-08-31
  • A Refined Speed Limit for the Imaginary-Time Schrödinger Equation
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-08-28
    Jie Sun; Songfeng Lu

    Recently, Kieu proposed a new class of time-energy uncertainty relations for time-dependent Hamiltonians, which is not only formal but also useful for actually evaluating the speed limit of quantum dynamics. Inspired by this work, Okuyama and Ohzeki obtained a similar speed limit for the imaginary-time Schrödinger equation. In this paper, we refine the latter one to make it be further like that of

    更新日期:2020-08-31
  • Quantum Decomposition Associated with the q-Deformed Lévy–Meixner White Noise
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-08-28
    Anis Riahi; Amine Ettaieb

    In this paper we start with a new detailed construction of the one-mode type q-Lévy-Meixner Fock space ℱLM(q)(ℋ) which serves to obtain the quantum decomposition associated with the q-deformed Lévy-Meixner white noise processes. More precisely, based on the notion of quantum decomposition and the orthogonalization of polynomials of noncommutative q-Lévy-Meixner white noise ω(t):=bt*+c2bt+βbt*bt2+γbt*bt+c1I

    更新日期:2020-08-31
  • Dynamical Semigroups in the Birkhoff Polytope of Order 3 as a Tool for Analysis of Quantum Channels
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-05-05
    Mateusz Snamina; Emil J. Zak

    In the present paper we show a link between bistochastic quantum channels and classical maps. The primary goal of this work is to analyse the multiplicative structure of the Birkhoff polytope of order 3 (the simplest nontrivial case). A suitable complex parametrization of the Birkhoff polytope is proposed, which reveals several its symmetries and characteristics, in particular: (i) the structure of

    更新日期:2020-05-05
  • Pure States of Maximum Uncertainty with Respect to a Given POVM
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-05-05
    Anna Szymusiak

    One of the differences between classical and quantum world is that in the former we can always perform a measurement that gives certain outcomes for all pure states, while such a situation is not possible in the latter one. The degree of randomness of the distribution of the measurement outcomes can be quantified by the Shannon entropy. While it is well known that this entropy, as a function of quantum

    更新日期:2020-05-05
  • Directed-Completeness of Quantum Statistical Experiments in the Randomization Order
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-05-05
    Yui Kuramochi

    A parametrized family of normal states on a von Neumann algebra is called a statistical experiment, which generalizes the corresponding concepts in classical statistics and finite-dimensional quantum systems. We introduce randomization preorder and equivalence relations for statistical experiments with a fixed parameter set and for normal channels with a fixed input space by post-processing completely

    更新日期:2020-05-05
  • Dynamics of Quantum Correlations in a Qubit-Oscillator System Interacting via a Dissipative Bath
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-05-05
    R. Badveli; V. Jagadish; S. Akshaya; R. Srikanth; F. Petruccione

    The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via the Jaynes-Cummings interaction, whilst the position of the oscillator is coupled to the position of the bath via a dipole interaction. We give a microscopic derivation

    更新日期:2020-05-05
  • Classical and Quantum Markov Processes Associated with q-Bessel Operators
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-05-05
    Khadija Bessadok; Franco Fagnola; Skander Hachicha

    We study the fundamental properties of classical and quantum Markov processes generated by q-Bessel operators and their extension to the algebra of all bounded operators on the Hilbert space Lq,α2. In particular, we find a suitable generalized Gorini–Kossakowski–Sudarshan–Lindblad representation for the infinitesimal generator of q-Bessel operator and show that both the classical and quantum Markov

    更新日期:2020-05-05
  • Quantum Coherences as a Thermodynamic Potential
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    César A. Rodríguez-Rosario; Thomas Frauenheim; Alán Aspuru-Guzik

    Here we demonstrate how the interplay between quantum coherences and a decoherence bath, such as one given by continuos quantum measurements, lead to new kinds of thermodynamic potentials and flows. We show how a mathematical extension of thermodynamics includes decoherence baths leading to a more general sense of the zeroth and first law. We also show how decoherence adds contributions to the change

    更新日期:2020-02-17
  • Divisibility of Dynamical Maps with Time Independent Invariant State
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    Dariusz Chruściński; Andrzej Kossakowski

    A new condition for dynamical maps with time independent invariant state displaying Heisenberg divisibility is provided. This condition is trivially satisfied for a Markovian semigroup. However, beyond Markovian semigroups it provides a nontrivial characteristics of quantum Markovianity. Interestingly, when the invariant state is pure one recovers a condition based on Wigner–Yanase skew information

    更新日期:2020-02-17
  • Non-Markovian Open Dynamics from Collision Models
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    Vijay Pathak; Anil Shaji

    Convex combinations of completely positive (CP) as well as CP-divisible, continuous time dynamical maps arising from collision models are investigated. While the individual maps are both CP and Markovian we find that convex combinations remain CP but not necessarily Markovian. Examples of such combinations for qubit dynamical maps arising from collisional models are worked out and the invertibility

    更新日期:2020-02-17
  • Quantum Markov Semigroups of Low Density Limit: the Generic Case
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    Luigi Accardi; Fernando Guerrero-Poblete

    We investigate the structure of quantum Markov generators that describe the reduced dynamics of a test particle interacting with a dilute Bose gas in the low density limit. These generators, called low density limit type generators (LDL), differ from the weak coupling limit type generators (WCL) studied in [4, 5] because of the presence of the T-operator that describes the change in momentum of the

    更新日期:2020-02-17
  • Reading a Qubit Quantum State with a Quantum Meter: Time Unfolding of Quantum Darwinism and Quantum Information Flux
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    Salvatore Lorenzo; Mauro Paternostro; G. Massimo Palma

    Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic

    更新日期:2020-02-17
  • Hadamard Completely Positive Semigroups
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    Fabio Benatti

    We review the Gorini, Kossakowski, Sudarshan derivation of the generator of a completely positive norm-continuous semigroup when the constituent maps act on density matrices according to the Hadamard product rule.

    更新日期:2020-02-17
  • Groupoids and Coherent States
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2020-02-17
    F. di Cosmo; A. Ibort; G. Marmo

    Schwinger’s algebra of selective measurements has a natural interpretation in terms of groupoids. This approach is pushed forward in this paper to show that the theory of coherent states has a natural setting in the framework of groupoids. Thus given a quantum mechanical system with associated Hilbert space determined by a representation of a groupoid, it is shown that any invariant subset of the group

    更新日期:2020-02-17
  • Reachability in Infinite-Dimensional Unital Open Quantum Systems with Switchable GKS–Lindblad Generators
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-10-24
    Frederik vom Ende; Gunther Dirr; Michael Keyl; Thomas Schulte-Herbrüggen

    In quantum systems theory one of the fundamental problems boils down to: given an initial state, which final states can be reached by the dynamic system in question. Here we consider infinite-dimensional open quantum dynamical systems following a unital Kossakowski–Lindblad master equation extended by controls. More precisely, their time evolution shall be governed by an inevitable potentially unbounded

    更新日期:2019-10-24
  • Topological Order, Mixed States and Open Systems
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-10-24
    Manuel Asorey; Paolo Facchi; Giuseppe Marmo

    The role of mixed states in topological quantum matter is less known than that of pure quantum states. Generalisations of topological phases appearing in pure states have received attention in the literature only quite recently. In particular, it is still unclear whether the generalisation of the Aharonov–Anandan phase for mixed states due to Uhlmann plays any physical role in the behaviour of the

    更新日期:2019-10-24
  • Interference of Quantum States and Superposition Principle in Probability Representation of Quantum Mechanics
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-10-24
    Margarita A. Man’ko; Vladimir I. Man’ko

    The superposition of pure quantum states explicitly expressed in terms of a nonlinear addition rule of state density operators is reviewed. The probability representation of density matrices of qudit states is used to formulate the interference of the states as a combination of the probability distributions describing pure states. The formalism of quantizer–dequantizer operators is developed. Examples

    更新日期:2019-10-24
  • Basic Properties of a Mean Field Laser Equation
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-10-24
    Franco Fagnola; Carlos M. Mora

    We study the nonlinear quantum master equation describing a laser under the mean field approximation. The quantum system is formed by a single mode optical cavity and two level atoms, which interact with reservoirs. Namely, we establish the existence and uniqueness of the regular solution to the nonlinear operator equation under consideration, as well as we get a probabilistic representation for this

    更新日期:2019-10-24
  • George Sudarshan and Quantum Dynamics
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-10-24
    Kavan Modi

    These are my recollections of working with George Sudarshan from 2002 to 2008 when I was a PhD student in his group. During these years I learnt a lot of physics and also was a witness to some remarkable occurrences.

    更新日期:2019-10-24
  • The Legacy of George Sudarshan
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-10-24
    Giuseppe Marmo; Saverio Pascazio

    George Sudarshan was an eclectic thinker, and one of the most profound physicists of the last century. We review here a small part of his oeuvre, focusing on his pioneering contributions to the quantum Zeno effect, quantum channels (the Kraus–Sudarshan representation) and quantum semigroups (the Gorini–Kossakowski–Lindblad–Sudarshan equation). These topics are of crucial importance in the booming field

    更新日期:2019-10-24
  • The Estimation Lie Algebra Associated with Quantum Filters
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    Nina H. Amini; John E. Gough

    We introduce the Lie algebra of super-operators associated with a quantum filter, specifically emerging from the Stratonovich calculus. In classical filtering, the analogue algebra leads to a geometric theory of nonlinear filtering which leads to well-known results by Brockett and by Mitter characterizing potential models where the curse-of-dimensionality may be avoided, and finite dimensional filters

    更新日期:2019-07-24
  • Bose Liquid Mean-Field Theory with Application to HeI
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    Jan Maćkowiak

    A mean-field theory is developed for a Bose liquid enclosed in a large vessel 𝒱. In accord with liquid structure concepts of Mitus et al., the liquid in 𝒱 is assumed to consist of adjacent macroscopic subregions Λk. In each subregion the bosons perform a locally ordered motion with prevailing orientation k + x, which varies randomly when passing from one subregion to another. |k| is constant, whereas

    更新日期:2019-07-24
  • Quantum Dynamical Mutual Entropy Based on AOW Entropy
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    Kyouhei Ohmura; Noboru Watanabe

    The classical dynamical mutual entropy measures the average of information content going through a channel. Classical Markovian sources are important in communication theory since they constitute reasonable models for languages. In this paper, we define the quantum dynamical mutual entropy through quantum Markov chains, and we calculate it for several simple models.

    更新日期:2019-07-24
  • Reducibility Criteria and a Construction Method for the Analysis of Open Quantum Systems
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    Takeo Kamizawa

    The analysis of an open quantum system can be by far difficult if the dimension of the system Hilbert space is large or infinite. However, in some cases the dynamics on a finite-dimensional Hilbert space can be decomposed into a block-diagonal form, which simplifies the system structure. In this presentation, we will study several criteria for the complete reducibility and, in addition, a computational

    更新日期:2019-07-24
  • Anomalous Decay and Decoherence in Atomic Gases
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    A. Tsabary; O. Kenneth; J.E. Avron

    Pair collisions in atomic gases lead to decoherence and decay. Assuming that all the atoms in the gas are equally likely to collide one is led to consider Lindbladian of mean field type where the evolution in the limit of many atoms reduces to a single qudit Lindbladian with quadratic nonlinearity. We describe three smoking guns for nonlinear evolutions: power law decay and dephasing rates; dephasing

    更新日期:2019-07-24
  • Principles of Quantum-like Evolution
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    Andrzej Wichert

    We present a case study of quantum-like probabilities that are motivated by quantum cognition. We introduce quantum-like evolution that is l2 norm preserving but in which the matrix does not need to be unitary. We show how to map any 2 × 2 stochastic matrix to an l2 norm preserving balanced phase matrix that maps real vectors of length one into complex vectors of length one. Quantum-like evolution

    更新日期:2019-07-24
  • Resonant Transitions Due to Changing Boundaries
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-07-24
    Fabio Anzà; Antonino Messina; Benedetto Militello

    The problem of a particle confined in a box with moving walls is studied, focusing on the case of small perturbations which do not alter the shape of the boundary (‘pantography’). The presence of resonant transitions involving the natural transition frequencies of the system and the Fourier transform of the velocity of the walls of the box is brought to the light. The special case of a pantographic

    更新日期:2019-07-24
  • Defect and Equivalence of Unitary Matrices. The Fourier Case. Part II
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-04-11
    Wojciech Tadej

    Consider the real space 𝔻U of directions one can move in from a unitary N × N matrix U without disturbing its unitarity and the moduli of its entries in the first order. dimℝ (𝔻U) is called the defect of U and denoted D(U). We give an account of Alexander Karabegov’s theory where 𝔻U is parametrized by the imaginary subspace of the eigenspace, associated with λ = 1, of a certain unitary operator

    更新日期:2019-04-11
  • Maps Generated by Entangled Momenta: Exploring Spin Entanglement in Relativity
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-04-11
    Veiko Palge; Jacob Dunningham; Stefan Groote; Hannes Liivat

    We study relativistic entanglement of a bipartite system consisting of massive spin-1/2 particles with momenta. The spin state is described by the maximally entangled Bell state and momenta are given by entangled Gaussian distributions. We conceptualize the dependency between spin and momentum in relativity along the lines of controlled operations in quantum information theory. This leads to a systematic

    更新日期:2019-04-11
  • Contiguity of States and Super Wave Operators
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-04-11
    Rolando Rebolledo

    This paper characterises contiguity for families of states defined on a von Neumann algebra. It extends earlier research of my own published in [1], motivated by scattering theory and the celebrated work of Lucien Le Cam in classical probability. It is well-known that Le Cam did a major contribution to develop asymptotic methods in statistical decision theory, defining various new concepts, among them

    更新日期:2019-04-11
  • Invariant States for a Quantum Markov Semigroup Constructed from Quantum Bernoulli Noises
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-02-28
    Jinshu Chen

    Quantum Bernoulli noises are the family of annihilation and creation operators acting on Bernoulli functionals, which satisfy a canonical anti-commutation relation (CAR) in equal-time. In this paper, we consider a quantum Markov semigroup constructed from quantum Bernoulli noises. Among others, we show that the semigroup has infinitely many faithful invariant states that are diagonal, and satisfies

    更新日期:2019-02-28
  • Non-reversal Open Quantum Walks
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-02-28
    Y. H. Goolam Hossen; I. Sinayskiy; F. Petruccione

    A model of non-reversal quantum walk is introduced. The process is introduced in 1D and 2D using the formalism of open quantum walks (OQWs). In such a walk, a particle cannot go back to previously visited sites but it can jump on the same site or move to a new site. Examples of some non-reversal quantum trajectories and distributions are given and their difference with normal OQWs is discussed. Finally

    更新日期:2019-02-28
  • Module Free White Noise Flows
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-02-28
    Wided Ayed

    The main result of this paper is to extend to Hilbert module level the proof of the inclusion of (non-Hamiltonian) stochastic differential equations based on free noise into the class of Hamiltonian equations driven by free white noise. To achieve this goal, free white noise calculus is extended to a trivial Hilbert module. The white noise formulation of the Ito table is radically different from the

    更新日期:2019-02-28
  • Defect and Equivalence of Unitary Matrices. The Fourier Case. Part I
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2019-02-28
    Wojciech Tadej

    Consider the real space 𝔻U of directions one can move in from a unitary N × N matrix U without disturbing its unitarity and the moduli of its entries in the first order. dimℝ (𝔻U) is called the defect of U and denoted D(U). We give an account of Alexander Karabegov’s theory where 𝔻U is parametrized by the imaginary subspace of the eigenspace, associated with λ = 1, of a certain unitary operator

    更新日期:2019-02-28
  • Non-Markovian Evolution: a Quantum Walk Perspective
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-12-10
    N. Pradeep Kumar; Subhashish Banerjee; R. Srikanth; Vinayak Jagadish; Francesco Petruccione

    Quantum non-Markovianity of a quantum noisy channel is typically identified with information backflow or, more generally, with departure of the intermediate map from complete positivity. But here, we also indicate certain non-Markovian channels that cannot be witnessed by the CP-divisibility criterion. In complex systems, non-Markovianity becomes more involved on account of subsystem dynamics. Here

    更新日期:2018-12-10
  • Rotation Gates with Controlled Adiabatic Evolutions in Open Systems
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-12-10
    Abderrahim Benmachiche; Derradji Bahloul; Gharib Subhi Mahmoud; Azeddine Messikh

    Single quantum rotation gates can be perfectly implemented in a closed system using the controlled adiabatic evolutions process proposed by Itay Hen that may lead to build some quantum circuit blocks [Phys. Rev. A, 022309 (2015)]. These adiabatic evolutions yield to vanishing geometric phases. In this work, we extended Itay’s work by considering a more realistic model where the qubits are subjected

    更新日期:2018-12-10
  • Damped Oscillations of the Energy of a Bosonic Bath due to Spectral Gaps and Special Initial Correlations
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-12-10
    Filippo Giraldi

    The energy of the bosonic bath and the flow of quantum information in local dephasing channels are studied over short and long times in case the distribution of frequency modes of the bosonic bath exhibits a low-frequency gap. The initial conditions consist in special correlations between the qubit and the bosonic bath or are factorized, and involve thermal states of the whole system or of the bath

    更新日期:2018-12-10
  • Robustness of Quantum Correlations in Entangled Two su(2) Systems Non-mutually Interacting with su(1, 1) System under Intrinsic Decoherence
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-12-10
    A.-B. A. Mohamed; M. S. Abdalla; A.-S. F. Obada

    Two two-level systems generated by su(2) algebra are initially prepared in a maximum nonsymmetric Bell state and having no mutual interaction. Each su(2)-system spatially interacts with two-mode cavity field in the nondegenerate parametric amplifier type cast through operators governed by su(1, 1) Lie algebra. An analytical description for the time evolution of the final state of the total system with

    更新日期:2018-12-10
  • When the Assignment Map Is Completely Positive
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-12-10
    Iman Sargolzahi; Sayyed Yahya Mirafzali

    Finding the general set of system-environment states {ρSE} for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [7], where the problem was solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [8]. This, we think, clarifies the mentioned result better and

    更新日期:2018-12-10
  • Does Universal Controllability of Physical Systems Prohibit Thermodynamic Cycles?
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-12-10
    Dominik Janzing; Paweł Wocjan

    Here we study the thermodynamic cost of computation and control using ‘physically universal’ cellular automata (CAs) or Hamiltonians. The latter were previously defined as systems that admit the implementation of any desired transformation on a finite target region by first initializing the state of the surrounding and then letting the system evolve according to its autonomous dynamics. This way, one

    更新日期:2018-12-10
  • Molecular Dynamics Simulations and the Landauer’s Principle
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-07-18
    Ihab H. Naeim; J. Batle; S. Kadry; O. Tarawneh

    Landauer’s principle is a fundamental link between thermodynamics and information theory, which implies that the erasure of information comes at an energetic price. In the present contribution we analyze to what extend the usual molecular dynamics (MD) simulation formalism can handle the Landauer’s bound kBT ln 2 in the simplest case of one particle treated classically. The erasure of one bit of information

    更新日期:2018-07-18
  • Generic Quantum Markov Semigroups with Degenerate Ground States: The Fock Case
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-07-18
    Skander Hachicha; Ikbel Nasraoui

    We consider quantum Markov semigroups arising from the weak coupling limit of a system with generic Hamiltonian coupled to a boson Fock zero temperature reservoir. We find all the invariant states of a generic quantum Markov semigroup and compute explicitly the limit invariant state explicitly starting from an arbitrary initial state. We also show that convergence is exponentially fast under some natural

    更新日期:2018-07-18
  • Average of Uncertainty Product for Bounded Observables
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-07-18
    Lin Zhang; Jiamei Wang

    The goal of this paper is to calculate exactly the average of uncertainty product of two bounded observables and to establish its typicality over the whole set of finite dimensional quantum pure states. Here we use the uniform ensembles of pure and isospectral states as well as the states distributed uniformly according to the measure induced by the Hilbert-Schmidt norm. Firstly, we investigate the

    更新日期:2018-07-18
  • Quantum Filtering Equations for a System Driven by Nonclassical Fields
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-07-18
    Anita Da̧browska

    Using Gardiner and Collet’s input-output model and the concept of cascade system, we determine the filtering equation for a quantum system driven by light in some specific nonclassical states. The quantum system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We consider two examples of the nonclassical states of field: a combination of vacuum and single

    更新日期:2018-07-18
  • Isolated Partial Hadamard Matrices and Related Topics
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-07-18
    Teodor Banica; Duygu Özteke; Lorenzo Pittau

    We study the partial Hadamard matrices H ∈ MM × N(ℂ) which are isolated, under the assumption that the entries Hij ∈ ℂ are roots of unity, or more generally, under the assumption that the combinatorics of H comes from vanishing sums of roots of unity. We first review the various conjectures on the subject, and then we present several new results, regarding notably the isolation of the master Hadamard

    更新日期:2018-07-18
  • Production of Entanglement Entropy by Decoherence
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-04-09
    M. Merkli; G. P. Berman; R. T. Sayre; X. Wang; A. I. Nesterov

    We examine the dynamics of entanglement entropy of all parts in an open system consisting of a two-level dimer interacting with an environment of oscillators. The dimer-environment interaction is almost energy conserving. We find the precise link between decoherence and production of entanglement entropy. We show that not all environment oscillators carry significant entanglement entropy and we identify

    更新日期:2018-04-09
  • Aspects of Geodesical Motion with Fisher-Rao Metric: Classical and Quantum
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-04-09
    Florio M. Ciaglia; Fabio Di Cosmo; Domenico Felice; Stefano Mancini; Giuseppe Marmo; Juan M. Pérez-Pardo

    The purpose of this paper is to exploit the geometric structure of quantum mechanics and of statistical manifolds to study the qualitative effect that the quantum properties have in the statistical description of a system. We show that the end points of geodesics in the classical setting coincide with the probability distributions that minimise Shannon’s entropy, i.e. with distributions of zero dispersion

    更新日期:2018-04-09
  • Quantum Markov Semigroups with Unbounded Generator and Time Evolution of the Support Projection of a State
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-04-09
    Souhir Gliouez; Skander Hachicha; Ikbel Nasroui

    We characterize the support projection of a state evolving under the action of a quantum Markov semigroup with unbounded generator represented in the generalized GKSL form and a quantum version of the classical Lévy-Austin-Ornstein theorem.

    更新日期:2018-04-09
  • A Maximal Entropy Distribution Derivation of the Sharma-Taneja-Mittal Entropic Form
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-04-09
    Antonio M. Scarfone

    In this letter we derive the distribution maximizing the Sharma-Taneja-Mittal entropy under certain constrains by using an information inequality satisfied by the Br`egman divergence associated to this entropic form. The resulting maximal entropy distribution coincides with the one derived from the calculus according to the maximal entropy principle à la Jaynes.

    更新日期:2018-04-09
  • Leggett-Garg Inequality for a Two-Level System under Decoherence
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2018-04-09
    Nasim Shahmansoori; Afshin Shafiee

    We consider a macroscopic quantum system subjected to an asymmetric double-well potential in a harmonic environment. By using a time-dependent approach, we calculate tunnelling probabilities for the system which contain oscillation effects. To show how one can decide between quantum mechanics and the implications of macrorealism assumptions, a given form of Leggett-Garg inequality is considered. The

    更新日期:2018-04-09
  • An Introduction to Operational Quantum Dynamics
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2017-12-17
    Simon Milz; Felix A. Pollock; Kavan Modi

    This special volume celebrates the 40th anniversary of the discovery of the Gorini-Kossakowski-Sudarshan-Lindblad master equation, which is widely used in quantum physics and quantum chemistry. The present contribution aims to celebrate a related discovery — also by Sudarshan — that of Quantum Maps (which had their 55th anniversary in the same year). Nowadays, much like the master equation, quantum

    更新日期:2017-12-17
  • Universal Constraints on Relaxation Times for d-Level GKLS Master Equations
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2017-12-17
    Gen Kimura; Shigeru Ajisaka; Kyouhei Watanabe

    In 1976, Gorini, Kossakowski, Sudarshan and Lindblad independently discovered a general form of master equations for an open quantum Markovian dynamics. In honor of all the authors, the equation is nowadays called the GKLS master equation. In this paper, we show universal constraints on the relaxation times valid for any d-level GKLS master equations, which is a generalization of the well-known constraints

    更新日期:2017-12-17
  • On GKLS Dynamics for Local Operations and Classical Communication
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2017-12-17
    Lajos Diósi; Antoine Tilloy

    We define a time continuous version of the concept of “local operations and classical communication” (LOCC), ubiquitous in quantum information theory. It allows us to construct GKLS master equations for particle systems that have (1) an arbitrary pair potential, and (2) local decoherence terms, but that do not entangle the constituents. The local decoherence terms take a particularly simple form if

    更新日期:2017-12-17
  • Quantum Non-Markovian Piecewise Dynamics from Collision Models
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2017-12-17
    Salvatore Lorenzo; Francesco Ciccarello; G. Massimo Palma; Bassano Vacchini

    Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [1]. These dynamics have been defined in terms of a waiting-time distribution between quantum jumps, along with quantum maps describing the effect of jumps and the system evolution between them. Here, we present a quantum collision model with memory,

    更新日期:2017-12-17
  • Quantum Systems Theory Viewed from Kossakowski-Lindblad Lie Semigroups — and Vice Versa
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2017-12-17
    Thomas Schulte-Herbrüggen; Gunther Dirr; Robert Zeier

    The solutions to the celebrated Kossakowski-Lindblad equation extended by coherent controls yield Markovian quantum maps. More precisely, the set of all its solutions forms a semigroup of completely positive trace-preserving maps taking the specific form of a Lie semigroup. Non-trivial symmetries of these semigroups are shown to preclude accessibility in Markovian dissipative systems. This is the open-system

    更新日期:2017-12-17
  • Open System Model for Quantum Dynamical Maps with Classical Noise and Corresponding Master Equations
    Open Syst. Inf. Dyn. (IF 1.96) Pub Date : 2017-12-17
    Chahan M. Kropf; Vyacheslav N. Shatokhin; Andreas Buchleitner

    We show how random unitary dynamics arise from the coupling of an open quantum system to a static environment. Subsequently, we derive a master equation for the reduced system random unitary dynamics and study three specific cases: commuting system and interaction Hamiltonians, the short-time limit, and the Markov approximation.

    更新日期:2017-12-17
Contents have been reproduced by permission of the publishers.
导出
全部期刊列表>>
spring&清华大学出版社
城市可持续发展前沿研究专辑
Springer 纳米技术权威期刊征稿
全球视野覆盖
施普林格·自然新
chemistry
3分钟学术视频演讲大赛
物理学研究前沿热点精选期刊推荐
自然职位线上招聘会
欢迎报名注册2020量子在线大会
化学领域亟待解决的问题
材料学研究精选新
GIANT
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
ACS Publications填问卷
阿拉丁试剂right
麻省大学
西北大学
湖南大学
华东师范大学
陆海华
化学所
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
天合科研
x-mol收录
胡眆昊
杨财广
廖矿标
试剂库存
down
wechat
bug