量子随机存取码的简单和一般界限

IF 5.1 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Quantum Pub Date : 2025-02-25 DOI:10.22331/q-2025-02-25-1643

Máté Farkas, Nikolai Miklin, Armin Tavakoli

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引用次数: 0

摘要

随机接入码是量子信息科学中广泛使用的一种通信任务。对于任意随机接入码，经典策略所能达到的最优平均成功概率是已知的。然而，对于量子随机接入码，只有少数情况得到了准确的解决。在本文中，我们提供了n个自变量的完全一般设置的界，每个自变量从D维经典字母表中选择，并在D维量子系统中编码，服从任意量子测量。该边界恢复了已知的特殊情况，我们用数值证明，即使边界总体上不紧，它仍然可以产生一个很好的近似。

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Simple and general bounds on quantum random access codes

Random access codes are a type of communication task that is widely used in quantum information science. The optimal average success probability that can be achieved through classical strategies is known for any random access code. However, only a few cases are solved exactly for quantum random access codes. In this paper, we provide bounds for the fully general setting of n independent variables, each selected from a d-dimensional classical alphabet and encoded in a $D$-dimensional quantum system subject to an arbitrary quantum measurement. The bound recovers the exactly known special cases, and we demonstrate numerically that even though the bound is not tight overall, it can still yield a good approximation.

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来源期刊

Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)

CiteScore

9.20

自引率

10.90%

发文量

241

审稿时长

16 weeks

期刊介绍： Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.