Simple non-Markovian microscopic models for the depolarizing channel of a single qubit

Romero, K. M. Fonseca; Franco, Rosario Lo

doi:10.1088/0031-8949/86/06/065004

Cited by 22 publications

(13 citation statements)

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“…The depolarizing channel describes the process where a system undergoes a symmetric decoherence [71]. This type of noise can occur, for instance, during an isotropic interaction of a spin-1/2-like particle (qubit) with a bosonic or spin-like environment [88][89][90][91]. The depolarizing process can be encountered in nuclear magnetic resonance setups [92,93] and Bose-Einstein condensates [94,95], where the decoherence process is typically caused by a residual fluctuating magnetic field.…”

Section: Depolarizing Channelmentioning

confidence: 99%

Entanglement Robustness via Spatial Deformation of Identical Particle Wave Functions

Piccolini

Nosrati

Livreri

et al. 2021

Entropy

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We address the problem of entanglement protection against surrounding noise by a procedure suitably exploiting spatial indistinguishability of identical subsystems. To this purpose, we take two initially separated and entangled identical qubits interacting with two independent noisy environments. Three typical models of environments are considered: amplitude damping channel, phase damping channel and depolarizing channel. After the interaction, we deform the wave functions of the two qubits to make them spatially overlap before performing spatially localized operations and classical communication (sLOCC) and eventually computing the entanglement of the resulting state. This way, we show that spatial indistinguishability of identical qubits can be utilized within the sLOCC operational framework to partially recover the quantum correlations spoiled by the environment. A general behavior emerges: the higher the spatial indistinguishability achieved via deformation, the larger the amount of recovered entanglement.

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Section: Depolarizing Channelmentioning

confidence: 99%

Entanglement Robustness via Spatial Deformation of Identical Particle Wave Functions

Piccolini

Nosrati

Livreri

et al. 2021

Entropy

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“…(17) This model has been extensively studied, since it is exact and completely analytically solvable [48,49]. Moreover, it is of thermodynamic relevance as it allows the study of non-Markovian quantum dynamics [38,[50][51][52][53][54][55] and it has been realized in a solid-state cavity QED [56].…”

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confidence: 99%

Quantum speed limits and the maximal rate of information production

Deffner

2020

Phys. Rev. Research

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The Bremermann-Bekenstein bound sets a fundamental upper limit on the rate with which information can be processed. However, the original treatment heavily relies on cosmological properties and plausibility arguments. In the present analysis, we derive equivalent statements by relying on only two fundamental results in quantum information theory and quantum dynamics -Fannes inequality and the quantum speed limit. As main results, we obtain Bremermann-Bekenstein-type bounds for the rate of change of the von Neumann entropy in quantum systems undergoing open system dynamics, and for the rate of change of the Shannon information over some logical basis in unitary quantum evolution.

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“…While microscopic derivation for the phase and amplitude damping master equations can be found in the literature [3], to the best of our knowledge, this is not the case for the master equation concerning the depolarizing process, eq.(14). One possible form (due to the unitary freedom) of the standard depolarizing Kraus operators is given by [4,9,10,13]:…”

Section: The Depolarizing Channelmentioning

confidence: 99%

“…In this paper we answer this question for the quantum depolarizing channel [4,9,10,11,12,13,14,15] while the analogous results for the (generalized) amplitude and phase damping processes can be found in [16]. We make use of a recently devised method for deriving the Kraus operators from a local-in-time master equation for the finite-dimensional open systems [17].…”

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confidence: 99%

Generalized Kraus Operators for the One-Qubit Depolarizing Quantum Channel

2017

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Microscopic Hamiltonian models of the composite system "open system + environment" typically do not provide the operator-sum Kraus form of the open system's dynamical map. With the use of a recently developed method [17], we derive the Kraus operators starting from the microscopic Hamiltonian model, i.e. from the proper master equation, of the one-qubit depolarizing channel. Those Kraus operators generalize the standard counterparts, which are widely used in the literature. Comparison of the standard and the here obtained Kraus operators is performed via investigating dynamical change of the Bloch sphere volume, entropyproduction and the open system's state trace distance. We compare the generalized with the standard Kraus operators for both single qubit as well as regarding the occurrence of the entanglement sudden death for a pair of initially correlated qubits. We find that the generalized Kraus operators describe the less deteriorating quantum channel than the standard ones.

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Simple non-Markovian microscopic models for the depolarizing channel of a single qubit

Cited by 22 publications

References 50 publications

Entanglement Robustness via Spatial Deformation of Identical Particle Wave Functions

Entanglement Robustness via Spatial Deformation of Identical Particle Wave Functions

Quantum speed limits and the maximal rate of information production

Generalized Kraus Operators for the One-Qubit Depolarizing Quantum Channel

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