Purity-Based Continuity Bounds for von Neumann Entropy

Junaid ur Rehman; Hyundong Shin

doi:10.1038/s41598-019-50309-7

Purity-Based Continuity Bounds for von Neumann Entropy

Junaid ur Rehman
, Hyundong Shin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	13912
Journal	Scientific Reports
Volume	9
Issue number	1
DOIs	https://doi.org/10.1038/s41598-019-50309-7
State	Published - 1 Dec 2019
Externally published	Yes

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Publisher Copyright:
© 2019, The Author(s).

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Purity-Based Continuity Bounds for von Neumann Entropy

Abstract

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