2018
DOI: 10.1103/physreva.98.062104
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Quantum master equations for entangled qubit environments

Abstract: We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive the master equation that describes the dynamics of the composite quantum system. We investigate the evolution of the joint system for two-qubit environments and find that (1) the presence of antidiagonal coherences (in the local basis) in the environment is a necessary condition for en… Show more

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Cited by 25 publications
(66 citation statements)
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“…It would be interesting to further investigate the role of multipartite entanglement on thermalization via multi-qubit collistions in the spirit of Refs. [22,33].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…It would be interesting to further investigate the role of multipartite entanglement on thermalization via multi-qubit collistions in the spirit of Refs. [22,33].…”
Section: Discussionmentioning
confidence: 99%
“…The only ineffective coherences that appear in a HEC block correspond to the anti-diagonal of ρ b . These ineffective coherences also do not contribute to the generation of multi-partite correlations in a scenario where multi-qubit clusters repeatedly interact with independent qubits [33]. Figure 2.…”
Section: Effects Of Bath Coherences On the Target-qubit Evolutionmentioning
confidence: 99%
“…As we will show, under the assumption of continuous evolution in the limit of collisions lasting an infinitesimal amount of time, the system's evolution can be cast in the form of a Markovian Lindblad master equation with collective jump operators acting nontrivially on both systems (see also Ref. [60]).…”
Section: Introductionmentioning
confidence: 99%
“…Eq. (A5) is quite general and it is applicable to several micromaser based models [8,14,15] including superradiant systems [10] and entangled qubit environments [71]. Also it works for the case of generalized quantum "phaseonium fuels" [11], where the bath system consists of a N + 1 level atom with N degenerate coherent ground states [72].…”
Section: Appendix A: Generalized Micromaser Like Equationmentioning
confidence: 99%