Relation between quantum probe and entanglement in n-qubit systems within Markovian and non-Markovian environments

Jahromi, Hossein Rangani

doi:10.1080/09500340.2017.1288835

Cited by 17 publications

(8 citation statements)

References 24 publications

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“…In other words, non-Markovian environments can potentially increase the precision of parameter estimation for environment or interaction -at least within the scope of our model -corroborating previous research in this field. [46,52,53]…”

Section: Single-parameter Estimationmentioning

confidence: 99%

“…Therefore, any estimation approach should be evaluated within the framework of quantum decoherence dynamics, which considers environmental factors. Numerous studies have explored the impact of different environments on parameter estimations, [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55] including correlated quantum channels, [38] critical spin chains, [39] spin-bosonic reservoirs, [41][42][43][44][45] and dissipative environments. [53,54] Although significant attention has been given to the impact of non-Markovianity on estimation performance, the outcome remains a subject of debate.…”

Section: Introductionmentioning

confidence: 99%

“…[44][45][46][47][48][49][50][51][52][53] Some studies put forth the argument that non-Markovianity does not hold a distinct role in certain systems and contexts. [51] Conversely, other studies propose that non-Markovian environments can give rise to QFI revivals, delay QFI loss, [46,52] enhance QFI, and preserve QFI. [53] Most of these works assume that the environments are in equilibrium and possess a stationary statistical property.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, it is well known that the precision of parameter estimation strongly depends on the detailed properties of the environment being considered. [42][43][44][45][46][47][48][49][50][51][52] These results lead to an intriguing inquiry: How does the nonequilibrium property affect environment parameter estimation? Also, what is the nonequilibrium feature's role in the multiparameter simultaneous estimation?…”

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium Effects on the Precision of Parameter Estimation

Cheng

2023

Annalen der Physik

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The impact of nonequilibrium environment effects on the accuracy of quantum parameter estimation is investigated, and it is found that these effects can significantly affect estimation accuracy. Using an individual estimation strategy reveals that the nonequilibrium effects consistently enhance accuracy, regardless of the coupling strength between the probe and its environment. In contrast, weak memory effects undermine estimation accuracy. When employing a multi‐parameter simultaneous estimation strategy, it is observed that the nonequilibrium effects consistently improve the advantages of simultaneous estimation, as analyzed by the ratio of total variances between the two estimation scenarios. However, the memory effects on these advantages depend on the coupling strength between the qubit and the environment. These findings suggest that appropriate parameters of a nonequilibrium environment can increase the quantum Fisher information (QFI), thereby enhancing the accuracy of quantum parameter estimation. These significant results are essential for improving parameter estimation accuracy in quantum systems interacting with nonequilibrium environments.

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Section: Single-parameter Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium Effects on the Precision of Parameter Estimation

Cheng

2023

Annalen der Physik

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“…Representing the sensitivity of the state with respect to changes in a parameter, it plays an important role in parameter estimation theory and is extensively employed in QIP. In particular, the QFI has many applications in quantum information tasks such as entanglement detection [35,36], specifying the non-Markovianity [37–39], quantum thermometry [40] and consideration of uncertainty relations [41–43]. Hence it is of interest to study the QFI in a relativistic framework.…”

Section: Introductionmentioning

confidence: 99%

Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario

2020

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We address the teleportation of single- and two-qubit quantum states, parametrized by weight θ and phase ϕ parameters, in the presence of the Unruh effect experienced by a mode of a free Dirac field. We investigate the effects of the partial measurement (PM) and partial measurement reversal (PMR) on the quantum resources and quantum Fisher information (QFI) of the teleported states. In particular, we discuss the optimal behaviour of the QFI, quantum coherence (QC) as well as fidelity with respect to the PM and PMR strength and examine the effect of the Unruh noise on optimal estimation. It is found that, in the single-qubit scenario, the PM (PMR) strength at which the optimal estimation of the phase parameter occurs is the same as the PM (PMR) strength with which the teleportation fidelity and the QC of the teleported single-qubit state reaches its maximum value. On the other hand, generalizing the results to two-qubit teleportation, we find that the encoded information in the weight parameter is better protected against the Unruh noise in two-qubit teleportation than in the one-qubit scenario. However, extraction of information encoded in the phase parameter is more efficient in single-qubit teleportation than in the two-qubit version.

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