Measurement-induced nonlocality and geometric quantum discord in two SC-charge qubits

Mohamed, Abdel‐Baset A.

doi:10.1016/j.ijleo.2013.03.141

Cited by 6 publications

(2 citation statements)

References 43 publications

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“…The MIN has been one of current research focuses for years [19][20][21][22][23][24][25][26][27]. However, its quantification based on the Hilbert-Schmidt norm (we call it conventional MIN for brevity), while intuitively appealing and conceptually significant, has certain discouraging properties.…”

Section: Min Quantified By Hilbert-schmidt Normmentioning

confidence: 99%

Measurement-induced nonlocality based on the trace norm

Fan

2015

New J. Phys.

110

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Nonlocality is one unique property of quantum mechanics differing from classical world. One of its quantifications can be properly described as the maximum global effect caused by locally invariant measurements, termed as measurement-induced nonlocality (MIN) (2011 Phys. Rev. Lett. 106 120401). Here, we propose to quantify the MIN by the trace norm. We show explicitly that this measure is monotonically decreasing under the action of completely positive trace-preserving map, which is the general local quantum operation, on the unmeasured party for the bipartite state. This property avoids the undesirable characteristic appearing in the known measure of MIN defined by the Hilbert-Schmidt norm that may be increased or decreased by trivial local reversible operations on the unmeasured party. We obtain analytical formulas of the trace-norm MIN for any 2 × n dimensional pure state, two-qubit state, and certain high-dimensional states. As other quantum correlation measures, the new defined MIN can be directly applied to various models for physical interpretations.

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Section: Min Quantified By Hilbert-schmidt Normmentioning

confidence: 99%

Measurement-induced nonlocality based on the trace norm

Fan

2015

New J. Phys.

110

View full text Add to dashboard Cite

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“…[14] Xi et al quantify the measurement-induced nonlocality from the perspective of the relative entropy. [15] Moreover, some works have been devoted to comparing the MIN with other quantum correlations, [16][17][18][19][20][21][22][23][24] such as geometric measure of discord, [25,26] quantum discord, [27,28] and measurement-induced disturbance. [29] As a new correlation measure, a deep investigation about MIN is very desirable.…”

Section: Introductionmentioning

confidence: 99%