Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Jahromi, Hossein Rangani; Mahdavipour, Kobra; Shadfar, Mahshid Khazaei; Franco, Rosario Lo

doi:10.1103/physreva.102.022221

Cited by 26 publications

(22 citation statements)

References 78 publications

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“…Indeed, this is the case also for quantum Markovianity, which aims at introducing the notion of memoryless evolutions in the quantum realm, analogously to what happens for classical stochastic processes [1,3]. Among the different, and not necessarily equivalent, definitions of Markovian quantum dynamics [6,11,31,32,[40][41][42][43][44][45][46][47], the one based on the trace distance [7][8][9] stems from a quantitative definition of memory effects, linked to the information exchange between the system of interest and its environment.…”

Section: System-environment Information Exchange and Quantum Markovianitymentioning

confidence: 99%

On the connection between microscopic description and memory effects in open quantum system dynamics

Smirne

Megier

Vacchini

2021

Quantum

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The exchange of information between an open quantum system and its environment allows us to discriminate among different kinds of dynamics, in particular detecting memory effects to characterize non-Markovianity. Here, we investigate the role played by the system-environment correlations and the environmental evolution in the flow of information. First, we derive general conditions ensuring that two generalized dephasing microscopic models of the global system-environment evolution result exactly in the same open-system dynamics, for any initial state of the system. Then, we use the trace distance to quantify the distinct contributions to the information inside and outside the open system in the two models. Our analysis clarifies how the interplay between system-environment correlations and environmental-state distinguishability can lead to the same information flow from and toward the open system, despite significant qualitative and quantitative differences at the level of the global evolution.

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Section: System-environment Information Exchange and Quantum Markovianitymentioning

confidence: 99%

On the connection between microscopic description and memory effects in open quantum system dynamics

Smirne

Megier

Vacchini

2021

Quantum

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“…We quantify the non-Markovian dynamics of the system by means of the Hilbert-Schmidt speed measure (HSS), which has been introduced recently [29]. In the following, we briefly recall the gist of this non-Markovianity measure.…”

Section: Non-markovianitymentioning

confidence: 99%

“…Likewise, the corresponding quantum statistical speed (HSS) can be obtained by maximizing the classical statistical speed of Eq. ( 27) over all possible POVMs [29] HS S (ρ(φ)) ≡ max…”

Section: Non-markovianitymentioning

confidence: 99%

“…where φ is a relative phase and {|ψ i , i = 1, 2, ...., n} form a complete and orthonormal basis, the time derivative of HSS χ(t) = dHS S (ρ φ (t))/dt can be interpreted as a bona-fide witness of information flow between the system and its environment [29]. In particular, χ(t) ≥ 0 stands for an irreversible flow of information from the system to the environment, identifying a Markovian regime.…”

Section: Non-markovianitymentioning

confidence: 99%

“…In contrast, in non-Markovian (memory-keeping) evolution, the leaked information returns to the system [1,21,22]. As a fundamental trait, non-Markovianity itself can be quantified by a variety of measures [23][24][25][26][27][28][29][30][31] and exploited as a resource for certain applications [32,33].…”

Section: Introductionmentioning

confidence: 99%

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Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal

Yousefi,

Mortezapour,

Naeimi

et al. 2022

Preprint

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A comparative study of a qutrit (three-level atomic system) coupled to a classical field in a typical Markovian reservoir (free space) and in a photonic band-gap (PBG) crystal is carried out. The aim of the study is to assess the collective impact of structured environment and classical control of the system on the dynamics of quantum coherence, non-Markovianity, and estimation of parameters which are initially encoded in the atomic state. We show that the constructive interplay of PBG material as a medium and classical driving field as a part of system results in a significant enhancement of all the quantum traits of interest, compared to the case when the driven qutrit is in a Markovian environment. Our results supply insights for preserving and enhancing quantum features in qutrit systems which are promising alternative candidates to be used in quantum processors instead of qubits.

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Quantum dense coding and teleportation based on two coupled quantum dot molecules influenced by intrinsic decoherence, tunneling rates, and Coulomb coupling interaction

Hosseiny

2023

Appl. Phys. B

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Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Cited by 26 publications

References 78 publications

On the connection between microscopic description and memory effects in open quantum system dynamics

On the connection between microscopic description and memory effects in open quantum system dynamics

Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal

Quantum dense coding and teleportation based on two coupled quantum dot molecules influenced by intrinsic decoherence, tunneling rates, and Coulomb coupling interaction

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