Non-Markovianity and reservoir memory of quantum channels: a quantum information theory perspective

Bylicka, Bogna; Chruściński, Dariusz; Maniscalco, Sabrina

doi:10.1038/srep05720

Cited by 316 publications

(335 citation statements)

References 36 publications

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“…Thus, similarly to DD techniques, non-Markovianity can also be used to restore monotonically decaying correlations [10]. An ongoing debate concerns itself with characterizing and quantifying non-Markovianity [11][12][13][14][15][16][17][18][19]. At present, no universal measure exists and indeed in some cases, connections between measures can not be established [20,21].…”

Section: Introductionmentioning

confidence: 99%

Time-invariant discord in dynamically decoupled systems

2015

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Dynamical decoupling protocols are one of the most used tools for efficient quantum error corrections and for reservoir engineering. In this paper we study the effect of dynamical decoupling pulses on the preservation of both quantum and classical correlations, and their influence on the intriguing phenomenon of time-invariant discord. We study two qubits experiencing local dephasing with an Ohmic class spectrum and subject to dynamical decoupling protocols. We investigate the connection between the dynamics of both classical and quantum correlations and the behaviour of information flow between system and environment. Finally, we establish a set of necessary conditions for which time-invariant discord can be created using dynamically decoupling techniques.

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Section: Introductionmentioning

confidence: 99%

Time-invariant discord in dynamically decoupled systems

2015

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“…Recently, a non-Markovianity measure based on monitoring the monotonicity of the quantum channel capacity Q was introduced by Bylicka, Chruscinski and Maniscalco (BCM) [21]. The quantum capacity measures the ability of a quantum channel to reliably transmit information.…”

Section: A Bcm Measurementioning

confidence: 99%

“…Further, first theoretical proposals for exploiting non-Markovianity for quantum information processing and metrology exist [6,20,21]. However, many questions related to the proper quantification of non-Markovianity [10][11][12][13][14][15] and to the exploitation of memory effects as a quantum resource still remain elusive.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2016

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We study the performance of two measures of non-Markovianity in detecting memory effects in two-qubit dephasing channels. By combining independent Markovian and non-Markovian noise on the qubits, our results show that the trace distance measure is able to detect the memory effects when at least one of the local channels displays non-Markovianity. A measure based on channel capacity, in turn, becomes non-zero when the global two-qubit dynamics shows memory effects. We apply these schemes to a well-known superdense coding protocol and demonstrate an optimal noise configuration to maximize the information transmission with independent local noises.

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“…in quantum metrology [21,22] in protocols for teleportation [23], steady-state entanglement maintenance [24,25] or for transport enhancing in biopolymers [26].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the non-Markovianity for electron transfer reactions in an oligothiophene-fullerene heterojunction

2017

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a b s t r a c tThe non-Markovianity of the electron transfer in an oligothiophene-fullerene heterojunction described by a spin-boson model is analyzed using the time dependent decoherence canonical rates and the volume of accessible states in the Bloch sphere. The dynamical map of the reduced electronic system is computed by the hierarchical equations of motion methodology (HEOM) providing an exact dynamics. Transitory witness of non-Markovianity is linked to the bath dynamics analyzed from the HEOM auxiliary matrices. The signature of the collective bath mode detected from HEOM in each electronic state is compared with predictions of the effective mode extracted from the spectral density. We show that including this main reaction coordinate in a one-dimensional vibronic system coupled to a residual bath satisfactorily describes the electron transfer by a simple Markovian Redfield equation. Non-Markovianity is computed for three inter fragment distances and compared with a priori criterion based on the system and bath characteristic timescales.

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Non-Markovianity and reservoir memory of quantum channels: a quantum information theory perspective

Cited by 316 publications

References 36 publications

Time-invariant discord in dynamically decoupled systems

Time-invariant discord in dynamically decoupled systems

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

Analysis of the non-Markovianity for electron transfer reactions in an oligothiophene-fullerene heterojunction

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