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I Chakrabarty, P Agrawal, AK Pati (2011)
Quantum dissension: generalizing quantum discord for three-qubit statesEur. Phys. J. D, 65
P Pfeuty (1970)
The one-dimensional Ising model with a transverse fieldAnn. Phys., 57
R Jie, W Yin-Zhong, Z Shi-Qun (2012)
Quantum discord and entanglement in Heisenberg XXZ spin chain after quenchesChin. Phys. Lett., 29
Z Xi, XM Lu, Z Sun, Y Li (2011)
Dynamics of quantum discord in a quantum critical environmentJ. Phys. B At. Mol. Opt. Phys., 44
CH Bennett, HJ Bernstein, S Popescu, B Schumacher (1996)
Concentrating partial entanglement by local operationsPhys. Rev. A, 53
M Piani (2012)
Problem with geometric discordPhys. Rev. A, 86
A Brodutch, K Modi (2012)
Criteria for measures of quantum correlationsQuantum Inf. Comput., 12
G Karpat, B Çakmak, FF Fanchini (2014)
Quantum coherence and uncertainty in the anisotropic XY chainPhys. Rev. B, 90
G Passante, O Moussa, R Laflamme (2012)
Measuring geometric quantum discord using one bit of quantum informationPhys. Rev. A, 85
JT Cai, A Abliz, SS Li (2013)
Various correlations in a two-qubit Heisenberg XXZ spin system both in thermal equilibrium and under the intrinsic decoherenceInt. J. Theor. Phys., 52
J Xu (2012)
Geometric global quantum discordJ. Phys. A Math. Theor., 45
SY Liu, B Li, WL Yang, H Fan (2013)
Monogamy deficit for quantum correlations in a multipartite quantum systemPhys. Rev. A, 87
T Werlang, C Trippe, GAP Ribeiro, G Rigolin (2010)
Quantum correlations in spin chains at finite temperatures and quantum phase transitionsPhys. Rev. Lett., 105
TJ Osborne, MA Nielsen (2002)
Entanglement in a simple quantum phase transitionPhys. Rev. A, 66
CC Rulli, MS Sarandy (2011)
Global quantum discord in multipartite systemsPhys. Rev. A, 84
E Knill, R Laflamme (1998)
Power of one bit of quantum informationPhys. Rev. Lett., 81
M Shi, C Sun, F Jiang, X Yan, J Du (2012)
Optimal measurement for quantum discord of two-qubit statesPhys. Rev. A, 85
S Luo, S Fu (2011)
Measurement-induced nonlocalityPhys. Rev. Lett., 106
ASM Hassan, B Lari, PS Joag (2012)
Tight lower bound to the geometric measure of quantum discordPhys. Rev. A, 85
EG Brown, K Cormier, E Martín-Martínez, RB Mann (2012)
Vanishing geometric discord in noninertial framesPhys. Rev. A, 86
NJ Cerf, C Adami (1998)
Information theory of quantum entanglement and measurementPhys. D, 120
A Datta, ST Flammia, CM Caves (2005)
Entanglement and the power of one qubitPhys. Rev. A, 72
T Zhou, J Cui, GL Long (2011)
Measure of nonclassical correlation in coherence-vector representationPhys. Rev. A, 84
S Popescu, D Rohrlich (1997)
Thermodynamics and the measure of entanglementPhys. Rev. A, 56
A Datta, A Shaji, CM Caves (2008)
Quantum discord and the power of one qubitPhys. Rev. Lett., 100
Y Huang (2014)
Computing quantum discord is NP-completeNew J. Phys., 16
V Vedral, MB Plenio, MA Rippin, PL Knight (1997)
Quantifying entanglementPhys. Rev. Lett., 78
M Lewenstein, A Sanpera (1998)
Separability and entanglement of composite quantum systemsPhys. Rev. Lett., 80
F Galve, GL Giorgi, R Zambrini (2011)
Orthogonal measurements are almost sufficient for quantum discord of two qubitsEPL, 96
M Gessner, EM Laine, HP Breuer, J Piilo (2012)
Correlations in quantum states and the local creation of quantum discordPhys. Rev. A, 85
K Modi, A Brodutch, H Cable, T Paterek, V Vedral (2012)
The classical-quantum boundary for correlations: discord and related measuresRev. Mod. Phys., 84
T Tufarelli, T MacLean, D Girolami, R Vasile, G Adesso (2013)
The geometric approach to quantum correlations: computability versus reliabilityJ. Phys. A Math. Theor., 46
LX Jia, B Li, RH Yue, H Fan (2013)
Sudden change of quantum discord under single qubit noiseInt. J. Quantum Inf., 11
T Tufarelli, D Girolami, R Vasile, S Bose, G Adesso (2012)
Quantum resources for hybrid communication via qubit-oscillator statesPhys. Rev. A, 86
JI Latorre, E Rico, G Vidal (2004)
Ground state entanglement in quantum spin chainsQuantum Inf. Comput., 4
S Luo (2008)
Quantum discord for two-qubit systemsPhys. Rev. A, 77
A Streltsov, H Kampermann, D Bruß (2011)
Behavior of quantum correlations under local noisePhys. Rev. Lett., 107
J Xu (2013)
Analytical expressions of global quantum discord for two classes of multi-qubit statesPhys. Lett. A, 377
B Dakić, V Vedral, Č Brukner (2010)
Necessary and sufficient condition for nonzero quantum discordPhys. Rev. Lett., 105
FM Paula, TR Oliveira, MS Sarandy (2013)
Geometric quantum discord through the Schatten 1-normPhys. Rev. A, 87
S Luo, S Fu (2010)
Geometric measure of quantum discordPhys. Rev. A, 82
R Horodecki, M Horodecki (1996)
Information-theoretic aspects of inseparability of mixed statesPhys. Rev. A, 54
B Dakić, YO Lipp, X Ma, M Ringbauer, S Kropatschek, S Barz, T Paterek, V Vedral, A Zeilinger, Č Brukner, P Walther (2012)
Quantum discord as resource for remote state preparationNat. Phys., 8
J Maziero, LC Celeri, RM Serra, V Vedral (2009)
Classical and quantum correlations under decoherencePhys. Rev. A, 80
L Mazzola, J Piilo, S Maniscalco (2010)
Sudden transition between classical and quantum decoherencePhys. Rev. Lett., 104
A Peres (1996)
Collective tests for quantum nonlocalityPhys. Rev. A, 54
SL Wu, HD Liu, LC Wang, XX Yi (2011)
A study on quantum discord sudden changesEur. Phys. J. D, 65
CH Bennett, DP DiVincenzo, JA Smolin, WK Wootters (1996)
Mixed-state entanglement and quantum error correctionPhys. Rev. A, 54
S Rana, P Parashar (2012)
Tight lower bound on geometric discord of bipartite statesPhys. Rev. A, 85
E Barouch, BM McCoy (1971)
Statistical mechanics of the XY model. II. Spin-correlation functionsPhys. Rev. A, 3
L Henderson, V Vedral (2001)
Classical, quantum and total correlationsJ. Phys. A Math. Gen., 34
R Horodecki, P Horodecki, M Horodecki, K Horodecki (2009)
Quantum entanglementRev. Mod. Phys., 81
A Datta, G Vidal (2007)
Role of entanglement and correlations in mixed-state quantum computationPhys. Rev. A, 75
S Campbell, L Mazzola, G Chiara, TJG Apollaro, F Plastina, T Busch, M Paternostro (2013)
Global quantum correlations in finite-size spin chainsNew J. Phys., 15
AR Its, BQ Jin, VE Korepin (2005)
Entanglement in the XY spin chainJ. Phys. A Math. Gen., 38
JPG Pinto, G Karpat, FF Fanchini (2013)
Sudden change of quantum discord for a system of two qubitsPhys. Rev. A, 88
M Piani, P Horodecki, R Horodecki (2008)
No-local-broadcasting theorem for multipartite quantum correlationsPhys. Rev. Lett., 100
M Koashi, A Winter (2004)
Monogamy of quantum entanglement and other correlationsPhys. Rev. A, 69
J Xu (2011)
Generalizations of quantum discordJ. Phys. A Math. Theor., 44
M Okrasa, Z Walczak (2011)
Quantum discord and multipartite correlationsEPL, 96
V Vedral, MB Plenio (1998)
Entanglement measures and purification proceduresPhys. Rev. A, 57
L Chang, S Luo (2013)
Remedying the local ancilla problem with geometric discordPhys. Rev. A, 87
ASM Hassan, PS Joag (2012)
Geometric measure of quantum discord and total quantum correlations in an N-partite quantum stateJ. Phys. A: Math. Theor., 45
S Wu, UV Poulsen, K Mølmer (2009)
Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicalityPhys. Rev. A, 80
MS Sarandy, TR Oliveira, L Amico (2013)
Quantum discord in the ground state of spin chainsInt. J. Mod. Phys. B, 27
JS Bell (1964)
On the Einstein Podolsky Rosen paradoxPhysics, 1
SJ Akhtarshenas, H Mohammadi, S Karimi, Z Azmi (2015)
Computable measure of the quantum correlationQuantum Inf. Process., 14
TC Wei, S Vishveshwara, PM Goldbart (2011)
Global geometric entanglement in transverse-field XY spin chains: finite and infinite systemsQuantum Inf. Comput., 11
CH Bennett, G Brassard, S Popescu, B Schumacher, JA Smolin, WK Wootters (1996)
Purification of noisy entanglement and faithful teleportation via noisy channelsPhys. Rev. Lett., 76
H Ollivier, WH Zurek (2001)
Quantum discord: a measure of the quantumness of correlationsPhys. Rev. Lett., 88
A Einstein, B Podolsky, N Rosen (1935)
Can quantum-mechanical description of physical reality be considered complete?Phys. Rev., 47
G Sadiek, B Alkurtass, O Aldossary (2010)
Entanglement in a time-dependent coupled XY spin chain in an external magnetic fieldPhys. Rev. A, 82
E Barouch, BM McCoy, M Dresden (1970)
Statistical mechanics of the XY model. IPhys. Rev. A, 2
S Rana, P Parashar (2013)
Comment on “Witnessed entanglement and the geometric measure of quantum discord”Phys. Rev. A, 87
D Spehner, M Orszag (2013)
Geometric quantum discord with Bures distanceNew J. Phys., 15
Quantum discord as a measure of the quantum correlations cannot be easily computed for most of density operators. In this paper, we present a measure of the total quantum correlations that is operationally simple and can be computed effectively for an arbitrary mixed state of a multipartite system. The measure is based on the coherence vector of the party whose quantumness is investigated as well as the correlation matrix of this part with the remainder of the system. Being able to detect the quantumness of multipartite systems, such as detecting the quantum critical points in spin chains, alongside with the computability characteristic of the measure, makes it a useful indicator to be exploited in the cases which are out of the scope of the other known measures.
Quantum Information Processing – Springer Journals
Published: Jan 12, 2016
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