冯·诺依曼熵基于纯度的连续性界

Purity-Based Continuity Bounds for von Neumann Entropy.

作者信息

Ur Rehman Junaid, Shin Hyundong

机构信息

Department of Electronic Engineering, Kyung Hee University, 1732 Deogyeong-daero, Giheung-gu, Yongin-si, Gyeonggi-do, 17104, Korea.

出版信息

Sci Rep. 2019 Sep 26;9(1):13912. doi: 10.1038/s41598-019-50309-7.

DOI:10.1038/s41598-019-50309-7

PMID:31558751

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6763486/

Abstract

We propose continuity bounds for the von Neumann entropy of qubits whose difference in purity is bounded. Considering the purity difference of two qubits to capture the notion of distance between them results into bounds which are demonstrably tighter than the trace distance-based existing continuity bounds of quantum states. Continuity bounds can be utilized in bounding the information-theoretic quantities which are generally difficult to compute.

摘要

我们针对纯度差异有界的量子比特的冯·诺依曼熵提出了连续性界。考虑两个量子比特的纯度差异以捕捉它们之间的距离概念，得到的界比基于迹距离的现有量子态连续性界明显更紧。连续性界可用于界定通常难以计算的信息论量。