Coherence fraction

The concept of entanglement fraction is generalized to define coherence fraction of a quantum state. Precisely, it quantifies the proximity of a quantum state to maximally coherent state and it can be used as a measure of coherence. Coherence fraction has a connection with l 1 -norm coherence and pr...

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Bibliographic Details
Published in:Quantum information processing 2019-09, Vol.18 (9), p.1-18, Article 275
Main Authors: Karmakar, Sumana, Sen, Ajoy, Chattopadhyay, Indrani, Bhar, Amit, Sarkar, Debasis
Format: Article
Language:English
Subjects:
Coherence
Data Structures and Information Theory
Helium
Linear functions
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum entanglement
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:The concept of entanglement fraction is generalized to define coherence fraction of a quantum state. Precisely, it quantifies the proximity of a quantum state to maximally coherent state and it can be used as a measure of coherence. Coherence fraction has a connection with l 1 -norm coherence and provides the criteria of coherence distillability. Optimal coherence fraction corresponding to a channel, defined from this new idea of coherence fraction, obeys a complementary relation with its decohering power. The connection between coherence fraction and l 1 -norm coherence turns to hold for bipartite pure states and X states too. The bipartite generalization shows that the local coherence fractions of a quantum state are not free and they are bounded by linear function of its global coherence fraction. Dynamics of optimal coherence fraction is also studied for single- sided and both-sided application of channels. The numerical results are provided in exploring properties of optimal coherence fraction.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-019-2391-6