高效保真度估算：替代推导及相关应用

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2024-07-16 DOI:10.1088/1572-9494/ad5664

Diego S Starke, Marcos L W Basso and Jonas Maziero

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引用次数: 0

摘要

在[Phys. Rev. A107 012427 (2023)]中，鲍德温和琼斯证明 Uhlmann-Jozsa 的两个量子态 ρ 和 σ 之间的保真度，即，可以简化为。在本文中，我们利用函数幂级数展开和迹函数的特性，给出了这一结果的另一种证明。我们的方法不仅加强了简化表达式的有效性，还有助于探索量子态的新异函数和密度算子更复杂的迹函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Efficient fidelity estimation: alternative derivation and related applications

In [Phys. Rev. A107 012427 (2023)], Baldwin and Jones prove that Uhlmann–Jozsa’s fidelity between two quantum states ρ and σ, i.e., , can be written in a simplified form as . In this article, we give an alternative proof of this result, using a function power series expansion and the properties of the trace function. Our approach not only reinforces the validity of the simplified expression but also facilitates the exploration of novel dissimilarity functions for quantum states and more complex trace functions of density operators.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.