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The classical correlation limits the ability of the measurement-induced average coherence
Jun Zhang1, Si-Ren Yang2, Yang Zhang2
1College of Mathematics, Institute of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Scientific Reports
|April 5, 2017
Summary
Quantum measurements on bipartite states reveal that extra coherence gained by one party is bounded by classical correlations, not quantum ones. This finding challenges conventional understanding of quantum correlations and coherence.
Area of Science:
- Quantum Mechanics
- Quantum Information Theory
Background:
- Coherence is a fundamental property of quantum mechanics.
- Measurements on bipartite quantum states can induce coherence in the unmeasured part.
Purpose of the Study:
- To investigate the relationship between measurement-induced coherence and classical/quantum correlations in bipartite states.
- To determine bounds and conditions for extra average coherence.
Main Methods:
- Analysis of coherence in bipartite quantum states under local measurements.
- Comparison of extra average coherence with classical and quantum correlations.
- Derivation of conditions for null maximal extra average coherence.
Main Results:
- Average coherence after measurement exceeds the coherence of the reduced density matrix.
- Extra average coherence is unexpectedly upper bounded by classical correlations, not quantum correlations.
- Sufficient and necessary conditions for null maximal extra average coherence were identified.
- Quantum correlation is neither necessary nor sufficient for non-zero extra average coherence.
Conclusions:
- The study reveals a surprising link between classical correlations and measurement-induced coherence.
- Findings suggest that classical correlations play a crucial role in quantifying coherence gains.
- The research provides new insights into the nature of quantum correlations and coherence measures.