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We review here the quantum mechanics of some noncommutative theories in which no state saturates simultaneously all the non trivial Heisenberg uncertainty relations. We show how the difference of structure between the Poisson brackets and…

High Energy Physics - Theory · Physics 2009-11-10 Musongela Lubo

Entanglement, one of the most intriguing aspects of quantum mechanics, marks itself into different features of quantum states. For this reason different criteria can be used for verifying entanglement. In this paper we review some of the…

Quantum Physics · Physics 2014-07-16 D. Buono , G. Nocerino , S. Solimeno , A. Porzio

We study the continuous-variable quantum teleportation of states, statistical moments of observables, and scale parameters such as squeezing. We investigate the problem both in ideal and imperfect Vaidman-Braunstein-Kimble protocol setups.…

Quantum Physics · Physics 2011-01-14 F. Dell'Anno , S. De Siena , G. Adesso , F. Illuminati

Local unitary transforms cannot affect the quantum correlations between two systems sharing an entangled state although they do influence the outcomes of local measurements. By considering local squeezing operations we introduce an extended…

Quantum Physics · Physics 2023-11-15 A. Lezama , A. Auyuanet

Bell's inequality for continuous-variable bipartite systems is studied. The inequality is expressed in terms of pseudo-spin operators and quantum expectation values are calculated for generic two-mode squeezed states characterized by a…

Quantum Physics · Physics 2016-08-24 Jerome Martin , Vincent Vennin

A deformed boson algebra is naturally introduced from studying quantum mechanics on noncommutative phase space in which both positions and momenta are noncommuting each other. Based on this algebra, corresponding intrinsic noncommutative…

Mathematical Physics · Physics 2009-04-03 Bing-Sheng Lin , Si-Cong Jing

We investigate the continuous-variable entanglement swapping protocol in a non-Gaussian setting, with non- Gaussian states employed either as entangled inputs and/or as swapping resources. The quality of the swapping protocol is assessed in…

Quantum Physics · Physics 2021-10-26 F. Dell'Anno , D. Buono , G. Nocerino , S. De Siena , F. Illuminati

We present a phase space formalism to evaluate Bell inequality violations in continuous variable systems. By doing so we can generalize previous analyses (which have dealt only with pure states) to arbitrary mixed states. We leverage these…

Quantum Physics · Physics 2025-01-09 Gurpahul Singh , Kelly Wurtz , Eduardo Martín-Martínez

We investigate the role of the bipartite temporal Bell inequality, an analogue of the spatial Bell inequality, in probing the quantum imprints of primordial perturbations when the initially chosen Bunch-Davies vacuum is replaced by a…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Aurindam Mondal

We present an exact analytic study of unitary coherence dynamics in a minimal two qubit superconducting system. By deriving the full time evolution operator and propagating Bell state initial conditions, we obtain closed form time dependent…

Quantum Physics · Physics 2026-05-11 Seyed Mohsen Moosavi Khansari

We present a comprehensive investigation of nonideal continuous-variable quantum teleportation implemented with entangled non-Gaussian resources. We discuss in a unified framework the main decoherence mechanisms, including imperfect Bell…

Quantum Physics · Physics 2010-02-17 Fabio Dell'Anno , Silvio De Siena , Fabrizio Illuminati

Starting from noncommutative quantum mechanics algebra, we investigate the variances of the deformed two-mode quadrature operators under the evolution of three types of two-mode squeezed states in noncommutative space. A novel conclusion…

High Energy Physics - Theory · Physics 2008-11-26 Hua Wei , Jiahua Li , Ranran Fang , Xiaotao Xie , Xiaoxue Yang

Squeezed states of the harmonic oscillator are a common resource in applications of quantum technology. If the noise is suppressed in a nonlinear combination of quadrature operators below threshold for all possible up-to-quadratic…

Quantum Physics · Physics 2023-06-13 Vojtěch Kala , Petr Marek , Radim Filip

In constructing his theorem, Bell assumed that correlation functions among non-commuting variables are the same as those among commuting variables. However, in quantum mechanics, multiple data values exist simultaneously for commuting…

Quantum Physics · Physics 2016-03-08 Louis Sica

Bipartite temporal Bell inequalities are similar to the usual Bell inequalities except that, instead of changing the direction of the polariser at each measurement, one changes the time at which the measurement is being performed. By doing…

Quantum Physics · Physics 2020-11-18 Kenta Ando , Vincent Vennin

Bohm Mechanics and Nelson Stochastic Mechanics are confronted with Quantum Mechanics in presence of non-interacting subsystems. In both cases, it is shown that correlations at different times of compatible position observables on stationary…

Quantum Physics · Physics 2009-11-07 M. Correggi , G. Morchio

We explore different implementations of the quantum Bell causality (QBC) condition in the quantum sequential growth (QSG) dynamics of causal set quantum gravity, for non-commuting transition operators. Assuming a non-singular dynamics we…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Ritesh Srivastava , Sumati Surya

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical…

Quantum Physics · Physics 2015-06-18 Sanjib Dey , Véronique Hussin

The kinematic time operator can be naturally defined in relativistic and nonrelativistic quantum mechanics (QM) by treating time on an equal footing with space. The spacetime-position operator acts in the Hilbert space of functions of space…

Quantum Physics · Physics 2014-11-18 H. Nikolic

We perform a detailed analysis of the behavior of coherent and squeezed states undergoing time evolution. We calculate time dependence of expectation values of position and momentum in coherent and squeezed states (which can be interpreted…

Quantum Physics · Physics 2018-02-14 Ziemowit Domański , Maciej Błaszak
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