Quantum Fisher and skew information for Unruh accelerated Dirac qubit

Banerjee, Subhashish; Alok, Ashutosh Kumar; Omkar, S.

doi:10.1140/epjc/s10052-016-4290-7

Cited by 14 publications

(11 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, in particular, we study the Unruh effect [10,11,16] which predicts thermal like effects from observing uniform acceleration of the Minkowski vacuum. This has attracted intense interest [17][18][19][20][21][22][23][24][25][26][27] and has emerged as a natural quest in the direction of relativistic quantum information [28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Jhep02(2017)082mentioning

confidence: 99%

See 1 more Smart Citation

Characterization of Unruh channel in the context of open quantum systems

Banerjee

Alok

Omkar

et al. 2017

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Abstract:In this work, we study an important facet of field theories in curved spacetime, viz. the Unruh effect, by making use of ideas of statistical mechanics and quantum foundations. Aspects of decoherence and dissipation, natural artifacts of open quantum systems, along with foundational issues such as the trade-off between coherence and mixing as well as various aspects of quantum correlations are investigated in detail for the Unruh effect. We show how the Unruh effect can be quantified mathematically by the Choi matrix approach. We study how environmentally induced decoherence modifies the effect of the Unruh channel. The differing effects of a dissipative or non-dissipative environment are noted. Further, useful parameters characterizing channel performance such as gate and channel fidelity are applied here to the Unruh channel, both with and without external influences. Squeezing, which is known to play an important role in the context of particle creation, is shown to be a useful resource in a number of scenarios.

show abstract

Section: Jhep02(2017)082mentioning

confidence: 99%

“…In the accelerated reference frame, the Unruh effect degrades the quantumness of the state (2.2) [40,62]. To achieve our goal, we consider the scenario wherein only Rob's qubit is interacting with a noisy environment, for e.g., a scalar field.…”

Section: Degradation Of Quantum Information Under Unruh Channelmentioning

confidence: 99%

Characterization of Unruh channel in the context of open quantum systems

Banerjee

Alok

Omkar

et al. 2017

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is interesting that the spacetime with a horizon can prevent an observer from having access to the full quantum state of the field. It can a e-mail: xhao@mail.usts.edu.cn result in the information loss in curved spacetime [11,12]. In some proposals [13][14][15][16][17], curved spacetime can be simulated by a system of coupled atoms and quantum fields.…”

Section: Introductionmentioning

confidence: 99%

Decoherence of quantum parameter estimation for open Dirac particle in Garfinkle–Horowitz–Strominger dilation black hole

Huang

Yan

et al. 2019

Eur. Phys. J. C

View full text Add to dashboard Cite

We introduce and study a quantum channel that arises from the structure of the vacuum state of Dirac fields propagating in a Garfinkle-Horowitz-Strominger (GHS) dilation black hole spacetime. We put forward the concept of quantum information divergence, which is a new measure for relativistic parameter estimation. We employ quantum metrology to estimate the amplitude and relative phase of a Dirac field state using the quantum Fisher information and information divergence. The decoherence of quantum parameter estimation is studied through the evolution of the Bloch vector for arbitrary initial states subjected to the quantum channel and external noises. We find that the quantum information divergence decreases more than the quantum Fisher information as a function of the radiation temperature. Due to the Pauli exclusion principle and Dirac statistics, the estimation precision will gradually decrease to a non-zero value. In order to study the decoherence in the dilation black hole, we obtain the monotonic decrease of quantum coherence when an initial field evolves from the highly correlated state to the current cosmic background. The external noises can further suppress the decoherence effect from the black hole.

show abstract

“…In the field of parameter estimation, the prime focus is to give an estimate of the values of the unknown physical parameters labelling a quantum mechanical model and to enhance the precision of resolution. Quantum Fisher Information (QFI), considered as another version of Skew Information [23] which is considered as one of the most important measures in the context of PET. It measures the sensitivity or the response of a system with respect to changes in the parameters that governs the information regarding the physical system under consideration.…”

Section: Introductionmentioning

confidence: 99%

QMetrology from QCosmology: Study with entangled two qubit open quantum system in De Sitter space

et al. 2021

View full text Add to dashboard Cite

In this paper, our prime objective is to apply the techniques of parameter estimation theory and the concept of Quantum Metrology in the form of Fisher Information to investigate the role of certain physical quantities in the open quantum dynamics of a two entangled qubit system under the Markovian approximation. There exist various physical parameters which characterize such system, but can not be treated as any quantum mechanical observable. It becomes imperative to do a detailed parameter estimation analysis to determine the physically consistent parameter space of such quantities. We apply both Classical Fisher Information (CFI) and Quantum Fisher Information (QFI) to correctly estimate these parameters, which play significant role to describe the out-of-equilibrium and the long range quantum entanglement phenomena of open quantum system. Quantum Metrology, compared to classical parameter estimation theory, plays a two-fold superior role, improving the precision and accuracy of parameter estimation. Additionally, in this paper we present a new avenue in terms of Quantum Metrology, which beats the classical parameter estimation. We also present an interesting result of revival of out-of-equilibrium feature at the late time scales, arising due to the long range quantum entanglement at early time scale and provide a physical interpretation for the same in terms of Bell's Inequality Violation in early time scale giving rise to non-locality.

show abstract

Quantum Fisher and skew information for Unruh accelerated Dirac qubit

Cited by 14 publications

References 63 publications

Characterization of Unruh channel in the context of open quantum systems

Characterization of Unruh channel in the context of open quantum systems

Decoherence of quantum parameter estimation for open Dirac particle in Garfinkle–Horowitz–Strominger dilation black hole

QMetrology from QCosmology: Study with entangled two qubit open quantum system in De Sitter space

Contact Info

Product

Resources

About