Geometrical Bounds on Irreversibility in Open Quantum Systems

Mancino, Luca; Cavina, Vasco; Pasquale, Antonella De; Sbroscia, Marco; Booth, Robert I.; Roccia, Emanuele; Gianani, Ilaria; Giovannetti, Vittorio; Barbieri, Marco

doi:10.1103/physrevlett.121.160602

Cited by 42 publications

(53 citation statements)

References 52 publications

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“…One may quote clock synchronization [6], the maximization of the sensitivity of gravitational waves detector [7], the obtention of the bounds on the optimal estimation of phases [8,9,10], the estimation of space-time parameters [11,12,13], electromagnetic field sensing [14,15] and the optimal estimation of the reservoirs temperature [16,17,18]. The quantum metrology protocols can substantially improve the estimation precision by taking advantage of quantum correlations existing in a multipartite system: entanglement [19,20,21], quantum discord [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

Quantum Fisher information matrix in Heisenberg XY model

Bakmou

Slaoui

Daoud

et al. 2019

Quantum Inf Process

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The quantum Fisher information matrix provides us with a tool to determine the precision, in any multiparametric estimation protocol, through quantum Cramér-Rao bound. In this work, we study simultaneous and individual estimation strategies using the density matrix vectorization method. Two special Heisenberg XY models are considered. The first one concerns the anisotropic XY model in which the temperature T and the anisotropic parameter γ are estimated. The second situation concerns the isotropic XY model submitted to an external magnetic field B in which the temperature and the magnetic field are estimated. Our results show that the simultaneous strategy of multiple parameters is always advantageous and can provide a better precision than the individual strategy in the multiparameter estimation procedures.

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Section: Introductionmentioning

confidence: 99%

Quantum Fisher information matrix in Heisenberg XY model

Bakmou

Slaoui

Daoud

et al. 2019

Quantum Inf Process

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“…However, in general, this definition lacks a clear thermodynamic interpretation since the invariant state is not necessarily a thermal equilibrium state. To date several significant advances have been made in defining and understanding the thermodynamic entropy production for quantum systems [15][16][17][18][19][20][21], however only recently has the explicit consideration of non-Markovian maps, where negative entropy production rates can appear, been explored [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Entropy production and correlations in a controlled non-Markovian setting

2018

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We study the relationship between (non-)Markovian evolutions, established correlations, and the entropy production rate. We consider a system qubit in contact with a thermal bath and in addition the system is strongly coupled to an ancillary qubit. We examine the steady state properties finding that the coupling leads to effective temperatures emerging in the composite system, and show that this is related to the creation of correlations between the qubits. By establishing the conditions under which the system reaches thermal equilibrium with the bath despite undergoing a non-Markovian evolution, we examine the entropy production rate, showing that its transient negativity is a sufficient sign of non-Markovianity. arXiv:1804.03861v3 [quant-ph]

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“…Interestingly, F Q (t) is one of the best-studied quantities in quantum physics with a wide variety of applications. For instance, the quantum Fisher information sets bounds on the optimal estimation of parameters enconded in a quantum state [17][18][19], it helps to describe criticality and quantum phase transitions [20][21][22][23][24][25][26], it quantifies coherence and entanglement [27][28][29], it provides bounds on irreversibility in open quantum systems [30], and it also determines the best precision in thermometry [31].…”

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confidence: 99%