Relations between quantum correlations, purity and teleportation fidelity for the two-qubit Heisenberg XYZ system

Qin, Meng; Li, Yanbiao; Wu, Fenfang

doi:10.1007/s11128-014-0752-8

Cited by 7 publications

(2 citation statements)

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“…We now briefly discuss on the possible usefulness to have quantitative relations between concurrence and purity for implementing some specific protocols. It is known that entanglement must overcome some quantitative thresholds, for a given value of state purity, in order to allow quantum processes, such as teleportation [49,50], entanglement swapping [51] and entanglement percolation [52]. Our results under specific dynamical conditions allow to only measure purity of the system state at a given time t for obtaining the value of concurrence and then checking if it is sufficient for the desired task.…”

Section: Operational Use Of the Concurrence-purity Relationsmentioning

confidence: 98%

“…Knowledge of relationships between entanglement and purity in specific dynamical contexts is important not only from a fundamental viewpoint but also from a practical one. In fact, it would provide quantitative thresholds of entanglement for a given purity at a certain time which allow quantum protocols, like teleportation [49,50], entanglement swapping [51] and entanglement percolation [52]. To this aim our strategy is to consider a two-qubit central system using the so-called spectator configuration [53], where one of the qubits is isolated and acts as a probe.…”

Section: Introductionmentioning

confidence: 99%

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Relations between entanglement and purity in non-Markovian dynamics

González-Gutiérrez

Román-Ancheyta

Espitia

et al. 2016

Int. J. Quantum Inform.

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Knowledge of the relationships among different features of quantumness, like entanglement and state purity, is important from both fundamental and practical viewpoints. Yet, this issue remains little explored in dynamical contexts for open quantum systems. We address this problem by studying the dynamics of entanglement and purity for two-qubit systems using paradigmatic models of radiation-matter interaction, with a qubit being isolated from the environment (spectator configuration). We show the effects of the corresponding local quantum channels on an initial two-qubit pure entangled state in the concurrence–purity diagram and find the conditions which enable dynamical closed formulas of concurrence, used to quantify entanglement, as a function of purity. We finally discuss the usefulness of these relations in assessing entanglement and purity thresholds which allow noisy quantum teleportation. Our results provide new insights about how different properties of composite open quantum systems behave and relate each other during quantum evolutions

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Section: Operational Use Of the Concurrence-purity Relationsmentioning

confidence: 98%