# Quantum correlation via quantum coherence

Quantum correlation via quantum coherence Quantum correlation includes quantum entanglement and quantum discord. Both entanglement and discord have a common necessary condition—quantum coherence or quantum superposition. In this paper, we attempt to give an alternative understanding of how quantum correlation is related to quantum coherence. We divide the coherence of a quantum state into several classes and find the complete coincidence between geometric (symmetric and asymmetric) quantum discords and some particular classes of quantum coherence. We propose a revised measure for total coherence and find that this measure can lead to a symmetric version of geometric quantum correlation, which is analytic for two qubits. In particular, this measure can also arrive at a monogamy equality on the distribution of quantum coherence. Finally, we also quantify a remaining type of quantum coherence and find that for two qubits, it is directly connected with quantum nonlocality. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Quantum correlation via quantum coherence

, Volume 13 (6) – Feb 11, 2014
20 pages

/lp/springer_journal/quantum-correlation-via-quantum-coherence-2DeXB0OIJ3
Publisher
Springer US
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0739-5
Publisher site
See Article on Publisher Site

### References

• Separability criterion for density matrices
Peres, A.
• Mixed-state entanglement and distillation: is there a bound entanglement in nature?
Horodecki, M; Horodecki, P; Horodecki, R
• Genuine tripartite entanglement monotone of $$(2\otimes 2\otimes n)$$ ( 2 ⊗ 2 ⊗ n ) -dimensional systems
Yu, C-S; Song, H-S
• Quantum discord for two-qubit systems
Luo, S
• Broadcast copies reveal the quantumness of correlations
Piani, M; Christandl, M; Mora, CE; Horodecki, P

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