Revival of quantum correlations without system-environment back-action

Franco, Rosario Lo; Bellomo, Bruno; Andersson, Erika; Compagno, G.

doi:10.1103/physreva.85.032318

Cited by 186 publications

(210 citation statements)

References 32 publications

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“…Incidentally, non-Markovian dynamics are not "memoryless" and allow a backflow of information from the environment [8,9] (cf. [10]) to the system, a fact which has interesting ramifications from the perspective of quantum information theory [11]. For example, non-Markovian processes have been shown to preserve entanglement [12] in many-body [13] and biomolecular [14] systems, and have been exploited in quantum key distribution [15], enhancing precision in quantum metrology [16], and implementing certain quantum information protocols [17,18].…”

Section: Introductionmentioning

confidence: 99%

Characterizing non-Markovianity via quantum interferometric power

2015

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Non-Markovian evolution in open quantum systems is often characterized in terms of the backflow of information from environment to system and is thus an important facet in investigating the performance and robustness of quantum information protocols. In this work, we explore non-Markovianity through the breakdown of monotonicity of a metrological figure of merit, called the quantum interferometric power, which is based on the minimal quantum Fisher information obtained by local unitary evolution of one part of the system, and can be interpreted as a quantifier of quantum correlations beyond entanglement. We investigate our proposed non-Markovianity indicator in two relevant examples. First, we consider the action of a single-party dephasing channel on a maximally entangled two-qubit state, by applying the Jamiołkowski-Choi isomorphism. We observe that the proposed measure is consistent with established non-Markovianity quantifiers defined using other approaches based on dynamical divisibility, distinguishability, and breakdown of monotonicity for the quantum mutual information. Further, we consider the dynamics of two-qubit Werner states, under the action of a local, single-party amplitude damping channel, and observe that the nonmonotonic evolution of the quantum interferometric power is more robust than the corresponding one for entanglement in capturing the backflow of quantum information associated with the non-Markovian process. Implications for the role of non-Markovianity in quantum metrology and possible extensions to continuous variable systems are discussed.

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Section: Introductionmentioning

confidence: 99%

Characterizing non-Markovianity via quantum interferometric power

2015

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“…This may happen if there is feedback from the environment onto the system, which influences the future evolution. However, non-Markovian behavior is also possible when the environment is unaffected by the system and there, thus, can be no feedback in the usual sense [4]. Non-Markovian processes appear in quantum optics [1,5], solid-state physics [6], and quantum information processing [7].…”

Section: Introductionmentioning

confidence: 99%

Investigating the generality of time-local master equations

et al. 2012

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Time-local master equations are more generally applicable than is often recognized, but at first sight, it would seem that they can only safely be used in time intervals where the time evolution is invertible. Using the Jaynes-Cummings model, we here construct an explicit example where two different Hamiltonians, corresponding to two different noninvertible and non-Markovian time evolutions, lead to arbitrarily similar time-local master equations. This illustrates how the time-local master equation, on its own in this case, does not uniquely determine the time evolution. The example is, nevertheless, artificial in the sense that a rapid change in (at least) one of the Hamiltonians is needed. The change must also occur at a very specific instance in time. If a Hamiltonian is known not to have such very specific behavior but is "physically well behaved," then one may conjecture that a time-local master equation also determines the time evolution when it is not invertible.

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“…QD and EoF are equal for pure states, but the relation is complicated for the mixed states; there are separable mixed states with non-zero QD [46]. Recently, the comparison attempts for the dynamics of quantum discord and entanglement have received a great deal of attention for open quantum systems [47][48][49][50][51][52][53][54][55][56][57]. The studies show that QD is much more robust compared to entanglement under dissipative and dephasing processes where entanglement can suffer sudden death.…”

Section: Hamiltonian and The Master Equationmentioning

confidence: 99%

Dissipative dynamics of quantum correlations in the strong-coupling regime

Altintas

Eryiğit

2013

Phys. Rev. A

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The dynamics of entanglement and quantum discord between two identical qubits strongly interacting with a common single mode leaky cavity field have been investigated beyond the rotating wave approximation (RWA) by using recently derived Lindblad type quantum optical master equation [F. Beaudoin, J.M. Gambetta, A. Blais, Phys. Rev. A 84, 043832 (2011)] that can describe the losses of the cavity field in a strong atom-field coupling regime. Contrary to previous investigations of the same model in the dissipative regime by using the standard Lindblad quantum optical master equation in a strong-coupling regime, the atom-field steady states are found to be cavity decay rate independent and have a very simple structure determined solely by the overlap of initial atomic state with the subradiant state which is valid for all coupling regimes. Non-RWA dynamics are found to have remarkable effects on the steady state quantum discord and entanglement that cannot be achieved under RWA conditions, for instance, they can induce steady state entanglement even for the initial states that have no overlap with the subradiant state. Moreover, the non-RWA dynamics are found to reverse the initial state dependence of steady state entanglement and quantum discord contrary to the RWA case.

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Revival of quantum correlations without system-environment back-action

Cited by 186 publications

References 32 publications

Characterizing non-Markovianity via quantum interferometric power

Characterizing non-Markovianity via quantum interferometric power

Investigating the generality of time-local master equations

Dissipative dynamics of quantum correlations in the strong-coupling regime

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