Multiparameter estimation, lower bound on quantum Fisher information, and non-Markovianity witnesses of noisy two-qubit systems

Jahromi, Hossein Rangani; Amini, Morteza; Ghanaatian, M.

doi:10.1007/s11128-019-2446-8

Cited by 18 publications

(8 citation statements)

References 83 publications

(80 reference statements)

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“…Since any realistic quantum system interacts and exchanges information with an environment, the main challenge resides in tackling the problem of quantum metrology within the presence of decoherence and non-Markovianity (NM) [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Because both phenomena are related to the loss and gain of information, respectively, the question of how the dynamics of estimation is affected by the presence of both decoherence and NM is of paramount interest and worthy of study.…”

Section: Introductionmentioning

confidence: 99%

Quantum metrology in a non-Markovian quantum evolution

2020

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The problem of quantum metrology in the context of a particular non-Markovian quantum evolution is explored. We study the dynamics of the quantum Fisher information (QFI) of a composite quantum probe coupled to a Lorentzian environment, for a full variety of different classes of parameters. We are able to find the best metrological state, which is not maximally entangled but is the one which evolves the most rapidly. This is shown by demonstrating a connection between QFI and different quantum speed limits. At the same time, by optimizing a control field acting on the probes, we show how the total information flow is actively manipulated by the control so as to enhance the parameter estimation at a given final evolution time. Finally, under this controlled scenario, a sharp interplay between the dynamics of QFI, non-Markovianity, and entanglement is revealed within different control schemes.

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Section: Introductionmentioning

confidence: 99%

Quantum metrology in a non-Markovian quantum evolution

2020

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“…Moreover, it is known that non-Markovianity can be a resource for quantum information tasks [21][22][23][24][25]. Accordingly, various witnesses have been proposed to identify non-Markovianity based on, for example, distinguishability between evolved quantum states of the system [4], fidelity [26][27][28], quantum relative entropies [29,30], quantum Fisher information [31], capacity measure [32][33][34] and Bloch volume measure [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness

Mahdavipour

Shadfar

Jahromi

et al. 2022

Entropy

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A witness of non-Markovianity based on the Hilbert–Schmidt speed (HSS), a special type of quantum statistical speed, has been recently introduced for low-dimensional quantum systems. Such a non-Markovianity witness is particularly useful, being easily computable since no diagonalization of the system density matrix is required. We investigate the sensitivity of this HSS-based witness to detect non-Markovianity in various high-dimensional and multipartite open quantum systems with finite Hilbert spaces. We find that the time behaviors of the HSS-based witness are always in agreement with those of quantum negativity or quantum correlation measure. These results show that the HSS-based witness is a faithful identifier of the memory effects appearing in the quantum evolution of a high-dimensional system with a finite Hilbert space.

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“…This idea is at the heart of the continuously growing research area of quantum metrology aiming at reaching the ultimate fundamental bounds on estimation precision by using quantum probes [9][10][11][12][13][14][15][16][17][18][19][20][21]. This field of research has attracted a great deal of interest in the last few years, leading to notable developments both theoretically and experimentally as reported in previous review papers concerning quantum phase estimation problems [22] optical metrology [23][24][25][26][27], multiparameter estimation scenario [28][29][30][31], and metrological tasks performed by various physical systems [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

Jahromi¹,

Radgohar²,

Hosseiny³

et al. 2021

Preprint

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Determining the energy levels of a quantum system is a significant task, for instance, to analyze reaction rates in drug discovery and catalysis or characterize the compatibility of materials. In this paper we exploit quantum metrology, the research field focusing on the estimation of unknown parameters exploiting quantum resources, to address this problem for a three-level system interacting with laser fields. The performance of simultaneous estimation of the levels compared to independent one is also investigated in various scenarios. Moreover, we introduce, the Hilbert-Schmidt speed (HSS), a special type of quantum statistical speed, as a powerful figure of merit for enhancing estimation of energy spectrum. This measure is easily computable, because it does not require diagonalization of the system state, verifying its efficiency in high-dimensional systems.

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Multiparameter estimation, lower bound on quantum Fisher information, and non-Markovianity witnesses of noisy two-qubit systems

Cited by 18 publications

References 83 publications

Quantum metrology in a non-Markovian quantum evolution

Quantum metrology in a non-Markovian quantum evolution

Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

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