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Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems
Physical Review X ( IF 11.6 ) Pub Date : 2021-07-21 , DOI: 10.1103/physrevx.11.031016
Minh C Tran 1, 2 , Andrew Y Guo 1, 2 , Abhinav Deshpande 1, 2 , Andrew Lucas 3, 4 , Alexey V Gorshkov 1, 2
Affiliation  

We present an optimal protocol for encoding an unknown qubit state into a multiqubit Greenberger-Horne-Zeilinger-like state and, consequently, transferring quantum information in large systems exhibiting power-law (1/rα) interactions. For all power-law exponents α between d and 2d+1, where d is the dimension of the system, the protocol yields a polynomial speed-up for α>2d and a superpolynomial speed-up for α2d, compared to the state of the art. For all α>d, the protocol saturates the Lieb-Robinson bounds (up to subpolynomial corrections), thereby establishing the optimality of the protocol and the tightness of the bounds in this regime. The protocol has a wide range of applications, including in quantum sensing, quantum computing, and preparation of topologically ordered states. In addition, the protocol provides a lower bound on the gate count in digital simulations of power-law interacting systems.

中文翻译:

幂律交互系统中的最优状态转移和纠缠生成

我们提出了一种最佳协议,用于将未知的量子位状态编码为类似 Greenberger-Horne-Zeilinger 的多量子位状态,从而在表现出幂律的大型系统中传输量子信息(1/rα)相互作用。对于所有幂律指数α之间d2d+1, 在哪里d是系统的维度,该协议产生多项式加速α>2d以及超多项式加速α2d,与现有技术相比。对全部α>d,协议使 Lieb-Robinson 边界饱和(达到次多项式修正),从而建立了协议的最优性以及该机制中边界的紧密性。该协议具有广泛的应用,包括量子传感、量子计算和拓扑有序态的制备。此外,该协议还提供了幂律交互系统数字模拟中门数的下限。
更新日期:2021-07-21
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