Quantum Tsallis entropy and projective measurement
Marko V. Jankovic
TL;DR
This paper demonstrates that projective measurements do not decrease quantum Tsallis entropy or the more general quantum unified (r, s)-entropy, extending known properties of von Neumann entropy.
Contribution
It generalizes the non-decreasing property of projective measurements from von Neumann entropy to quantum Tsallis and unified (r, s)-entropies.
Findings
Projective measurement does not decrease quantum Tsallis entropy.
Projective measurement does not decrease quantum unified (r, s)-entropy.
Extends entropy invariance properties to broader quantum entropy measures.
Abstract
It is well known that projective measurement will not decrease the von Neumann entropy of a quantum state. In this paper, it is shown that projective measurement will not decrease the quantum Tsallis entropy of a quantum state, either. Using a similar analysis, it can be shown that projective measurement will not decrease the quantum unified (r, s)-entropy in general.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Advanced Thermodynamics and Statistical Mechanics · Quantum Information and Cryptography