Quantum speed limit time: role of coherence as a dynamical witness to distinguish multi-qubit entangled states

G., Paulson, K.; Banerjee, Subhashish

doi:10.48550/arxiv.2202.08078

Cited by 2 publications

(2 citation statements)

References 25 publications

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“…Our results suggest that if the scenario is extended to Markovian dynamics, the actual path as well as geodesic distance of quantum system are relevant to the coherence in the case of [H 0 , ρ t ] = 0. In addition, we also note that a recent work showed that the initial coherence and the trade-off between coherence and mixedness play a significant role in the QSL time [74].…”

Section: Qsl Bounds With Both Influences Of System Driving and Dissip...supporting

confidence: 51%

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Lan

Xie

2022

New J. Phys.

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We study theoretically the geometric quantum speed limits (QSLs) of open quantum systems under Markovian dynamical evolution. Three types of QSL time bounds are introduced based on the geometric inequality associated with the dynamical evolution from an initial state to a final state. By illustrating three types of QSL bounds at the cases of presence or absence of system driving, we demonstrate that the unitary part, dominated by system Hamiltonian, supplies the internal motivation for a Markovian evolution which deviates from its geodesic. Specifically, in the case of unsaturated QSL bounds, the parameters of the system Hamiltonian serve as the eigen-frequency of the oscillations of geodesic distance in the time domain and, on the other hand, drive a further evolution of an open quantum system in a given time period due to its significant contribution in dynamical speedup. We present physical pictures of both saturated and unsaturated QSLs of Markovian dynamics by means of the dynamical evolution trajectories in the Bloch sphere which demonstrates the significant role of system Hamiltonian even in the case of initial mixed states. It is further indicated that whether the QSL bound is saturated is ruled by the coummutator between the Hamiltonian and reduced density matrix of the quantum system. Our study provides a detailed description of QSL times and reveals the effects of system Hamiltonian on the unsaturation of QSL bounds under Markovian evolution.

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Section: Qsl Bounds With Both Influences Of System Driving and Dissip...supporting

confidence: 51%

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Lan

Xie

2022

New J. Phys.

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show abstract

“…Similarly, in [4] QSL time for achieving a target fidelity for driven quantum systems has been derived. The fact that the impact of the bath on a quantum system is not always detrimental in nature has sped up the research work unraveling the characteristics of open quantum systems [5], and naturally the investigation of speed of evolution under non-unitary dynamics has become an active research topic [6][7][8][9][10]. Quantum speed limit for open quantum system based on different measures has been proposed [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Quantum speed limit for the creation and decay of quantum correlations

Paulson¹,

Banerjee²

2022

Preprint

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We derive Margolus-Levitin and Mandelstamm-Tamm type bound on the quantum speed limit time for the creation and decay of quantum correlations by an amount in a quantum system evolving under the influence of its ambient environment. The minimum distance of a non-classical state from an appropriate set of classical states is a legitimate measure of the quantumness of the state. We consider entanglement and quantum discord measures of quantum correlations, quantified using the Bures distance-based measure. To demonstrate the impact of quantum noise on this speed limit time for quantum correlations, we estimate the quantum speed limit time for the creation and decay of quantum correlations for a two-qubit system under modified OUN dephasing and collective two-qubit decoherence channels.I.

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Quantum speed limit time: role of coherence as a dynamical witness to distinguish multi-qubit entangled states

Cited by 2 publications

References 25 publications

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Quantum speed limit for the creation and decay of quantum correlations

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