The von Neumann entropy and unitary equivalence of quantum states
Roman Drnov\v{s}ek
TL;DR
This paper discusses conditions for quantum states to be unitarily equivalent, focusing on the von Neumann entropy, providing a simplified proof and improvements to existing criteria.
Contribution
The paper offers a concise proof and enhancements to the existing necessary and sufficient condition for unitary equivalence of quantum states based on von Neumann entropy.
Findings
Provided a shorter proof of the existing condition.
Improved the criteria for unitary equivalence.
Clarified the role of von Neumann entropy in quantum state equivalence.
Abstract
K. He, J. Hou, and M. Li have recently given a sufficient and necessary condition for unitary equivalence of quantum states. This condition is based on the von Neumann entropy. In this note we first give a short proof of their result, and then we improve it.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum chaos and dynamical systems · Quantum Information and Cryptography