0000000000227320

AUTHOR

Benjamin Aaronson

showing 2 related works from this author

Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence

2013

We show that the phenomenon of frozen discord, exhibited by specific classes of two-qubit states under local nondissipative decoherent evolutions, is a common feature of all known bona fide measures of general quantum correlations. All those measures, despite inducing typically inequivalent orderings on the set of nonclassically correlated states, return a constant value in the considered settings. Every communication protocol which relies on quantum correlations as resource will run with a performance completely unaffected by noise in the specified dynamical conditions. We provide a geometric interpretation of this

PhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciQuantum decoherenceStatistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesMathematical Physics (math-ph)Noise (electronics)Atomic and Molecular Physics and OpticsInterpretation (model theory)Measurement theoryQuantum mechanicsStatistical physicsQuantum Physics (quant-ph)Constant (mathematics)ENTANGLEMENTValue (mathematics)QuantumCondensed Matter - Statistical MechanicsMathematical PhysicsDISCORDPhysics - OpticsOptics (physics.optics)Physical Review A
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Hierarchy and dynamics of trace distance correlations

2013

We define and analyze measures of correlations for bipartite states based on trace distance. For Bell diagonal states of two qubits, in addition to the known expression for quantum correlations using this metric, we provide analytic expressions for the classical and total correlations. The ensuing hierarchy of correlations based on trace distance is compared to the ones based on relative entropy and Hilbert-Schmidt norm. Although some common features can be found, the trace distance measure is shown to differentiate from the others in that the closest uncorrelated state to a given bipartite quantum state is not given by the product of the marginals, and further, the total correlations are s…

PhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciKullback–Leibler divergenceStatistical Mechanics (cond-mat.stat-mech)DiagonalGeneral Physics and AstronomyFOS: Physical sciencesProbability and statisticsMathematical Physics (math-ph)Entanglement measures witnesses and other characterizationQuantum stateQubitNorm (mathematics)Physics - Data Analysis Statistics and ProbabilityFoundations of quantum mechanicTrace distancemeasurement theoryStatistical physicsEntanglement and quantum nonlocalityQuantum Physics (quant-ph)QuantumCondensed Matter - Statistical MechanicsMathematical PhysicsData Analysis Statistics and Probability (physics.data-an)
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