Efficient Verification of Continuous-Variable Quantum States and Devices without Assuming Identical and Independent Operations

Ya-Dong Wu, Ge Bai, Giulio Chiribella, and Nana Liu
Phys. Rev. Lett. 126, 240503 – Published 16 June 2021
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Abstract

Continuous-variable quantum information, encoded into infinite-dimensional quantum systems, is a promising platform for the realization of many quantum information protocols, including quantum computation, quantum metrology, quantum cryptography, and quantum communication. To successfully demonstrate these protocols, an essential step is the certification of multimode continuous-variable quantum states and quantum devices. This problem is well studied under the assumption that multiple uses of the same device result in identical and independently distributed (i.i.d.) operations. However, in realistic scenarios, identical and independent state preparation and calls to the quantum devices cannot be generally guaranteed. Important instances include adversarial scenarios and instances of time-dependent and correlated noise. In this Letter, we propose the first set of reliable protocols for verifying multimode continuous-variable entangled states and devices in these non-i.i.d scenarios. Although not fully universal, these protocols are applicable to Gaussian quantum states, non-Gaussian hypergraph states, as well as amplification, attenuation, and purification of noisy coherent states.

  • Figure
  • Received 20 December 2020
  • Accepted 18 May 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.240503

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Ya-Dong Wu1, Ge Bai1, Giulio Chiribella1,2,3,4, and Nana Liu5,6,7,*

  • 1QICI Quantum Information and Computation Initiative, Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong
  • 2The University of Hong Kong Shenzhen Institute of Research and Innovation, 5/F, Key Laboratory Platform Building, No. 6, Yuexing 2nd Road, Nanshan, Shenzhen 518057, China
  • 3Department of Computer Science, Parks Road, Oxford OX1 3QD, United Kingdom
  • 4Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
  • 5Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
  • 6Ministry of Education, Key Laboratory in Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai 200240, China
  • 7University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai 200240, China

  • *Corresponding author. nana.liu@quantumlah.org

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Issue

Vol. 126, Iss. 24 — 18 June 2021

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