Certification of quantum state functions under partial information

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Quantum Pub Date : 2024-08-16 DOI:10.22331/q-2024-08-16-1442
Leonardo Zambrano, Donato Farina, Egle Pagliaro, Marcio M. Taddei, Antonio Acin
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Abstract

Convex functions of quantum states play a key role in quantum physics, with examples ranging from Bell inequalities to von Neumann entropy. However, in experimental scenarios, direct measurements of these functions are often impractical. We address this issue by introducing two methods for determining rigorous confidence bounds for convex functions based on informationally incomplete measurements. Our approach outperforms existing protocols by providing tighter bounds for a fixed confidence level and number of measurements. We evaluate the performance of our methods using both numerical and experimental data. Our findings demonstrate the efficacy of our approach, paving the way for improved quantum state certification in real-world applications.
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部分信息下的量子态函数认证
量子态的凸函数在量子物理学中起着关键作用,从贝尔不等式到冯-诺依曼熵都是例子。然而,在实验场景中,直接测量这些函数往往是不切实际的。为了解决这个问题,我们介绍了两种基于信息不完全测量确定凸函数严格置信度边界的方法。我们的方法优于现有协议,能为固定置信度和测量次数提供更严格的界限。我们利用数值和实验数据评估了我们方法的性能。我们的研究结果证明了我们方法的有效性,为改进现实世界应用中的量子态认证铺平了道路。
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来源期刊
Quantum
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.
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