Modeling for Non-Markovian Quantum Systems

Xue, Shibei; Nguyen, Thien; James, Matthew R.; Shabani, Alireza; Ugrinovskii, Valery; Petersen, Ian R.

doi:10.1109/tcst.2019.2935421

Cited by 21 publications

(15 citation statements)

References 37 publications

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“…From a more abstract perspective, our result also represents an extension of the input-output formalism [3] to the bipartite scenario, where the system subjected to the white noise consists of the open system and its non-Markovian core. Indeed, it will be of interest to investigate how this relates to other non-Markovian input-output approaches introduced in the literature [61][62][63]. In addition, the fact that an input-output formalism can also be developed for a fermionic bath [64] suggests that our result can be extended to this domain.…”

mentioning

confidence: 88%

Nonperturbative Treatment of non-Markovian Dynamics of Open Quantum Systems

et al. 2018

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We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments-one a continuous bosonic environment leading to a unitary system-environment evolution and the other a discrete-mode bosonic environment resulting in a system-mode (nonunitary) Lindbladian evolution. Assuming initial Gaussian states for the environments, we prove that the two OQS dynamics are equivalent if both the expectation values and two-time correlation functions of the environmental interaction operators are the same at all times for the two configurations. Since the numerical and analytical description of a discrete-mode environment undergoing a Lindbladian evolution is significantly more efficient than that of a continuous bosonic environment in a unitary evolution, our result represents a powerful, nonperturbative tool to describe complex and possibly highly non-Markovian dynamics. As a special application, we recover and generalize the well-known pseudomodes approach to open-system dynamics.

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confidence: 88%

Nonperturbative Treatment of non-Markovian Dynamics of Open Quantum Systems

et al. 2018

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“…Here we develop an approach for studying trajectories of non-Markovian quantum systems by reconstructing their r-dimensional Markovian embedding [46,47,49,[56][57][58][59] in the form…”

Section: A Data Driven Reconstruction Of Non-markovian Dynamics Model...mentioning

confidence: 99%

Probing non-Markovian quantum dynamics with data-driven analysis: Beyond "black-box" machine learning models

Luchnikov,

Kiktenko,

Gavreev

et al. 2021

Preprint

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“…There are some similar works of RSP with noisy environment [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. We compare our protocol with previous RSP schemes in the following aspects: the quantum channel, the number of relay nodes, whether it considers the noise effect and whether it is deterministic.…”

Section: ⅳ Comparisonmentioning

confidence: 99%

“…By applying entanglement swapping, quantum relay nodes make it possible for multiple users to realize long-distance quantum communication [41][42][43]. According to the development trend of quantum network, the RSP protocols among multiple participants in the network is calling for further investigations [44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Effect of Quantum Noise on Deterministic Remote Preparation of an Arbitrary Two-Qubit State With a Relay Node

Qian

Xue

et al. 2021

IEEE Access

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We propose a scheme for deterministic remote preparation of an arbitrary two-qubit state via a relay node.Afterwards, we investigate how the scheme is influenced by the noise type, the initial state to be remotely prepared, and the decoherence rate. We find that the fidelity is symmetrical with the line () in bit-flip and phase-flip channels.In addition, the fidelity decreases with the increase of decoherence rate in the amplitude-damping and phase-damping channels. We also compare it with other RSP schemes. Since only Bell pairs work as the quantum channels, it makes our RSP scheme more available and feasible.

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Modeling for Non-Markovian Quantum Systems

Cited by 21 publications

References 37 publications

Nonperturbative Treatment of non-Markovian Dynamics of Open Quantum Systems

Nonperturbative Treatment of non-Markovian Dynamics of Open Quantum Systems

Probing non-Markovian quantum dynamics with data-driven analysis: Beyond "black-box" machine learning models

Effect of Quantum Noise on Deterministic Remote Preparation of an Arbitrary Two-Qubit State With a Relay Node

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