# Local available quantum correlations

Local available quantum correlations In this work, local available quantum correlations are studied. They are defined in terms of mutual information of bipartite local measurements done over an optimal local basis complementary to the local basis which defines the respective classical correlations. For two qubits, it is always possible to choose the basis of classical correlations as the set of eigenvectors of $$\sigma _z$$ σ z (the third Pauli matrix) and complementary bases become the sets of eigenvectors of the observables orthogonal to $$\sigma _z$$ σ z . It is shown that all states with zero local available quantum correlations are separable but not necessarily strictly classical; this fact puts this kind of correlations in the middle between discord and entanglement. Since in many cases it may suffice to know whether a given state has quantum correlations, the structure of the states with zero local available quantum correlations is presented. It is also shown that there is a close connection between local available quantum correlations and the protocol of entanglement activation developed by Piani et al. (Phys Rev Lett 106:220403, 2011). If a state satisfies the sufficient condition for the entanglement swapping associated with this protocol, this state has nonzero local available quantum correlations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Local available quantum correlations

, Volume 14 (12) – Oct 19, 2015
18 pages

/lp/springer_journal/local-available-quantum-correlations-S4SUbmvY4G
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/s11128-015-1139-1
Publisher site
See Article on Publisher Site

### Abstract

In this work, local available quantum correlations are studied. They are defined in terms of mutual information of bipartite local measurements done over an optimal local basis complementary to the local basis which defines the respective classical correlations. For two qubits, it is always possible to choose the basis of classical correlations as the set of eigenvectors of $$\sigma _z$$ σ z (the third Pauli matrix) and complementary bases become the sets of eigenvectors of the observables orthogonal to $$\sigma _z$$ σ z . It is shown that all states with zero local available quantum correlations are separable but not necessarily strictly classical; this fact puts this kind of correlations in the middle between discord and entanglement. Since in many cases it may suffice to know whether a given state has quantum correlations, the structure of the states with zero local available quantum correlations is presented. It is also shown that there is a close connection between local available quantum correlations and the protocol of entanglement activation developed by Piani et al. (Phys Rev Lett 106:220403, 2011). If a state satisfies the sufficient condition for the entanglement swapping associated with this protocol, this state has nonzero local available quantum correlations.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 19, 2015

### References

• Can quantum-mechanical description of physical reality be considered complete?
Einstein, A; Podolsky, B; Rosen, N
• Quantum entanglement
Horodecki, R; Horodecki, P; Horodecki, M; Horodecki, K
• Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
Aaronson, B; Lo Franco, R; Adesso, Gerardo
• Quantum entanglement and quantum discord in magnetoactive materials
Aldoshin, SM; Fel’dman, EB; Yurishchev, MA

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