Non-Markovian dynamics in two-qubit dephasing channels with an application to superdense coding

Karlsson, Antti; Lyyra, Henri; Laine, Elsi-Mari; Maniscalco, Sabrina; Piilo, Jyrki

doi:10.1103/physreva.93.032135

Cited by 16 publications

(13 citation statements)

References 28 publications

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“…In a number of physical scenarios, however, a Markovian description of the dynamics is inadequate [11][12][13]. Furthermore, memory effects may be beneficial for certain quantum-enhanced protocols, such as superdense coding [14,15], teleportation [16], and quantum key-distribution [17], and they play a key role as well in quantum thermodynamics [18] and measurement theory [19]. Their quantification in terms of information backflow has led to the introduction of a number of non-Markovianity measures or witnesses, based on the dynamical properties of different quantum information quantifiers [20][21][22][23][24][25].…”

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confidence: 99%

Bose-Hubbard lattice as a controllable environment for open quantum systems

et al. 2018

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We investigate the open dynamics of an atomic impurity embedded in a one-dimensional Bose-Hubbard lattice. We derive the reduced evolution equation for the impurity and show that the Bose-Hubbard lattice behaves as a tunable engineered environment allowing one to simulate both Markovian and non-Markovian dynamics in a controlled and experimentally realizable way. We demonstrate that the presence or absence of memory effects is a signature of the nature of the excitations induced by the impurity, being delocalized or localized in the two limiting cases of a superfluid and Mott insulator, respectively. Furthermore, our findings show how the excitations supported in the two phases can be characterized as information carriers.

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confidence: 99%

Bose-Hubbard lattice as a controllable environment for open quantum systems

et al. 2018

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“…For that we numerically integrate the master equation in ( 1 ) by applying the fourth-order Runge-Kutta method for different time-dependent damping functions, considered in the previous section. The choice of the studied states is dictated by the frequent use of the qubit and squeezed coherent states in entanglement-based quantum information protocols utilizing the DV and CV states, respectively 53 , 54 . By knowing the dynamics of a density matrix , we then calculate the non-Markovianity measure , in Eq.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Universal non-Markovianity detection in hybrid open quantum systems

Svozilík

Hidalgo-Sacoto

Arkhipov

2020

Sci Rep

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A universal characterization of non-Markovianity for any open hybrid quantum systems is presented. This formulation is based on the negativity volume of the generalized Wigner function, which serves as an indicator of the quantum correlations in any composite quantum systems. It is shown, that the proposed measure can be utilized for any single or multi-partite quantum system, containing any discrete or continuous variables. To demonstrate its power in revealing non-Markovianity in such quantum systems, we additionally consider a few illustrative examples.

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“…in which Λ t is the dynamical map (4). The above quantity is, in practice, nearly impossible to compute exactly because it involves a state optimization procedure and only few analytically treatable cases are known in literature [20]. Nonetheless, it does provide a rather intuitive interpretation of memory effects in open systems and it still allows to get an insight of the behavior of memory effects by selecting some significant pairs of initial states.…”

Section: Arxiv:170701441v2 [Quant-ph] 4 Oct 2017mentioning

confidence: 99%

Continuous-time quantum walks on spatially correlated noisy lattices

Rossi¹,

Benedetti²,

Borrelli³

et al. 2017

Phys. Rev. A

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We address memory effects and diffusive properties of a continuous-time quantum walk on a one-dimensional percolation lattice affected by spatially correlated random telegraph noise. In particular, by introducing spatially correlated time-dependent fluctuations in nearest-neighbor hopping amplitudes, we describe random domains characterized by global noise. The resulting open dynamics of the walker is then unraveled by an ensemble average over all the noise realizations. Our results show that time-dependent noise assisted by spatial correlations leads to strong memory effects in the walker dynamics and to robust diffusive behavior against the detrimental action of uncorrelated noise. We also show that spatially correlated classical noise enhances localization breaking, thus making a quantum particle spread on longer distances across the lattice.

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Non-Markovian dynamics in two-qubit dephasing channels with an application to superdense coding

Cited by 16 publications

References 28 publications

Bose-Hubbard lattice as a controllable environment for open quantum systems

Bose-Hubbard lattice as a controllable environment for open quantum systems

Universal non-Markovianity detection in hybrid open quantum systems

Continuous-time quantum walks on spatially correlated noisy lattices

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