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Quantum Information Processing

The relation between entanglement measure and coherence measure based on Hellinger distance

  • 01-04-2022
Published in:
Authors
Yaxue Liu
Lili Yang
Donghua Yan
Published in
Quantum Information Processing | Issue 4/2022

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Abstract

The article delves into the intricate relationship between quantum coherence and entanglement measures, introducing a novel entanglement measure based on Hellinger distance. This measure is rigorously shown to satisfy essential criteria for entanglement measures, including nonnegativity, separability, and monotonicity under local operations. Additionally, the article establishes a significant connection between this new entanglement measure and quantum coherence measures, demonstrating that the entanglement of a state cannot exceed its coherence when transformed by incoherent CPTP maps. This groundbreaking work offers valuable insights into the fundamental properties of quantum states and their transformations, making it a must-read for professionals in the field of quantum information and quantum computing.
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previous article Some efficient quantum circuit implementations of Camellia
next article Multipartite mixed maximally entangled states: mixed states with entanglement 1
Title
The relation between entanglement measure and coherence measure based on Hellinger distance
Authors
Yaxue Liu
Lili Yang
Donghua Yan
Publication date
01-04-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03465-1
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