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We generalize the vacuum-Unruh effect to arbitrary excited states in the Fock space and find that the Unruh mode at the horizon induces coherent excitation on the canonical background ensemble measured by an accelerated observer. When there…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Angela Chen

We investigate the behavior of tetrapartite entanglement in a four-qubit Dicke state under relativistic motion by employing the Unruh-DeWitt detector model, where one detector undergoes uniform acceleration. We show that the entanglement…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Shu-Min Wu , Si-Han Shang , Si-Yu Liu , Rui-Yang Xu , Qianqian Liu , Xiao-Li Huang

Shannon information entropy is a natural measure of probability (de)localization and thus (un)predictability in various procedures of data analysis for model systems. We pay particular attention to links between the Shannon entropy and the…

Statistical Mechanics · Physics 2007-05-23 Piotr Garbaczewski

The invariant information introduced by Brukner and Zeilinger, Phys. Rev. Lett. 83, 3354 (1999), is reconsidered from the point of view of quantum state estimation. We show that it is directly related to the mean error of the standard…

Quantum Physics · Physics 2009-11-07 J. Rehacek , Z. Hradil

We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the coaccelerated frame. We consider…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Georgios Vacalis , Atsushi Higuchi , Robert Bingham , Gianluca Gregori

We investigate quantum parameter estimation based on linear and Kerr-type nonlinear controls in an open quantum system, and consider the dissipation rate as an unknown parameter. We show that while the precision of parameter estimation is…

Quantum Physics · Physics 2017-12-12 Beili Gong , Wei Cui

Squeezed-state interferometry plays an important role in quantum-enhanced optical phase estimation, as it allows the estimation precision to be improved up to the Heisenberg limit by using ideal photon-number-resolving detectors at the…

Quantum Physics · Physics 2017-02-22 P. Liu , P. Wang , W. Yang , G. R. Jin , C. P. Sun

This paper provides a systematic approach to semiparametric identification that is based on statistical information as a measure of its "quality". Identification can be regular or irregular, depending on whether the Fisher information for…

Statistics Theory · Mathematics 2021-07-01 Juan Carlos Escanciano

We study the influence of Unruh effect on quantum Stackelberg duopoly. We show that the acceleration of noninertial frame strongly effects the payoffs of the firms. The validation of subgame perfect Nash equilibrium is limited to a…

Quantum Physics · Physics 2012-02-13 Salman Khan , M. K. Khan

Relativistic quantum metrology studies the maximal achievable precision for estimating a physical quantity when both quantum and relativistic effects are taken into account. We study the relativistic quantum metrology of temperature in…

High Energy Physics - Theory · Physics 2021-06-02 Haoxing Du , Robert B. Mann

We study quantum metrology for unitary dynamics. Analytic solutions are given for both the optimal unitary state preparation starting from an arbitrary mixed state and the corresponding optimal measurement precision. This represents a…

Quantum Physics · Physics 2019-12-30 Lukas J. Fiderer , Julien M. E. Fraïsse , Daniel Braun

In this work we study the chiral phase transition as observed by an accelerating observer taking into account the Unruh effect. We use Chiral Perturbation Theory at leading order and the large $N$ limit ($N$ being the number of pions) as an…

High Energy Physics - Phenomenology · Physics 2019-07-03 Adrián Casado-Turrión , Antonio Dobado

The Unruh effect -- according to which linearly accelerated observers with proper acceleration a= constant in the (no-particle) vacuum state of inertial observers experience a thermal bath of particles with temperature $T_U = a \hbar / (2…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Gabriel Cozzella , Andre G. S. Landulfo , George E. A. Matsas , Daniel A. T. Vanzella

In its simplest form, decoherence occurs when a quantum state is entangled with a second state, but the results of measurements made on the second state are not accessible. As the second state has effectively "measured" the first, in this…

Quantum Physics · Physics 2017-05-02 Samuel P. Nolan , Simon A. Haine

While the Unruh effect has traditionally been studied under the assumption of uniform acceleration, a simplification motivated by experimental considerations, it is not necessarily true for all non-inertial motions. We propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Manuel de Atocha Rodríguez Fernández , Alexander I. Nesterov , Gennady P. Berman , C. Moreno-González

This paper deals with the problem of estimating the coupling constant $\theta$ of a mixing quantum Markov chain. For a repeated measurement on the chain's output we show that the outcomes' time average has an asymptotically normal…

Quantum Physics · Physics 2011-06-23 Madalin Guta

The relevance of the concept of Fisher information is increasing in both statistical physics and quantum computing. From a statistical mechanical standpoint, the application of Fisher information in the kinetic theory of gases is…

Quantum Physics · Physics 2018-05-09 Carlo Cafaro , Paul M. Alsing

We study the two dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the Aharonov-Bohm (AB) effect. We explore various information theoretic…

Quantum Physics · Physics 2024-12-25 Ahmed Becir , Mustafa Moumni

Due to the Unruh effect, accelerated and inertial observers differ in their description of a given quantum state. The implications of this effect are explored for the entropy assigned by such observers to localized objects that may cross…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Djordje Minic , Simon Ross

Quantum Fisher information, as an intrinsic quantity for quantum states, is a central concept in quantum detection and estimation. When quantum measurements are performed on quantum states, classical probability distributions arise, which…

Quantum Physics · Physics 2012-09-04 Xiao-Ming Lu , Shunlong Luo , C. H. Oh
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