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We review several procedures of quantization formulated in the framework of (classical) phase space M. These quantization methods consider Quantum Mechanics as a "deformation" of Classical Mechanics by means of the "transformation" of the…

Mathematical Physics · Physics 2007-05-23 Oscar Arratia , Miguel A. Martin , Mariano A. Olmo

In this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness…

Mathematical Physics · Physics 2011-09-26 Yusef Maleki

Non-Gaussian quantum states have been deterministically prepared and autonomously stabilized in single- and two-mode circuit quantum electrodynamics architectures via engineered dissipation. However, it is currently unknown how to scale up…

Quantum Physics · Physics 2022-01-19 Petr Zapletal , Andreas Nunnenkamp , Matteo Brunelli

We construct a displacement operator type nonlinear coherent state and examine some of its properties. In particular it is shown that this nonlinear coherent state exhibits nonclassical properties like squeezing and sub-Poissonian…

Quantum Physics · Physics 2009-11-06 B. Roy , P. Roy

We investigate the quantum state transfer in a chain of particles satisfying q-deformed oscillators algebra. This general algebraic setting includes the spin chain and the bosonic chain as limiting cases. We study conditions for perfect…

Quantum Physics · Physics 2009-11-10 Sonia L'Innocente , Cosmo Lupo , Stefano Mancini

In this work the machinery of q-deformed algebras are used to enhance cryptographic security during teleportation. We use q-deformed harmonic oscillator states to develop a novel method of teleportation. The deformed states can be expressed…

Quantum Physics · Physics 2026-01-23 Prabal Dasgupta , Debashis Gangopadhyay

We experimentally examine the nonclassical character of a class of non-Gaussian states known as phase-diffused squeezed states. These states may show no squeezing effect at all, and therefore provide an interesting example to test…

Quantum Physics · Physics 2013-05-29 T. Kiesel , W. Vogel , B. Hage , J. DiGuglielmo , A. Samblowski , R. Schnabel

The paper develop the alternative formulation of quantum mechanics known as the phase space quantum mechanics or deformation quantization. It is shown that the quantization naturally arises as an appropriate deformation of the classical…

Mathematical Physics · Physics 2011-09-27 Maciej Blaszak , Ziemowit Domanski

Dynamics has been generalized to a noncommutative phase space. The noncommuting phase space is taken to be invariant under the quantum group $GL_{q,p}(2)$. The $q$-deformed differential calculus on the phase space is formulated and using…

High Energy Physics - Theory · Physics 2014-11-18 R. P. Malik , A. K. Mishra , G. Rajasekaran

We study a qubit-oscillator system, with a time-dependent coupling coefficient, and present a scheme for generating entangled Schr\"odinger-cat states with large mean photon numbers and also a scheme that protects the cat states against…

Quantum Physics · Physics 2019-01-23 Z. Xiao , T. Fuse , S. Ashhab , F. Yoshihara , K. Semba , M. Sasaki , M. Takeoka , J. P. Dowling

We study the coherent state and two-mode squeezed state in the q-deformed Pegg-Barnett(PB) formalism. We show that when the truncation of the Fock space S is large enough, the phase properties of the q-deformed PB coherent state approach…

Mathematical Physics · Physics 2012-12-11 Yidan Wang , Leong Chuan Kwek

We study the evolution of the hybrid entangled squeezed states of the qubit-oscillator system in the strong coupling domain. Following the adiabatic approximation we obtain the reduced density matrices of the qubit and the oscillator…

Quantum Physics · Physics 2016-10-18 M. Balamurugan , R. Chakrabarti , B. Virgin Jenisha

We discuss nonclassical properties of single-photon subtracted squeezed vacuum states in terms of the sub-Poissonian statistics and the negativity of the Wigner function. We derive a compact expression for the Wigner function from which we…

Quantum Physics · Physics 2016-08-08 Asoka Biswas , G. S. Agarwal

In this paper, we are interested in detecting the presence of a nearby phase-sensitive object, where traveling light works out under a low-photon loss rate. Here we investigate the optimal quantum phase estimation with generalized…

Quantum Physics · Physics 2020-07-30 Seung-Woo Lee , Su-Yong Lee , Jaewan Kim

We investigate the utility of non classical states of simple harmonic oscillators (a superposition of coherent states) for sensitive force detection. We find that like squeezed states a superposition of coherent states allows the detection…

Quantum Physics · Physics 2007-05-23 Kae Nemoto , W. J. Munro , G. J. Milburn , S. L. Braunstein

We provide a deformation quantization, in the sense of Rieffel, for \textit{all} globally hyperbolic spacetimes with a Poisson structure. The Poisson structures have to satisfy Fedosov type requirements in order for the deformed product to…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Albert Much

An alternative approach to decoherence, named non-dynamical decoherence is developed and used to resolve the quantum measurement problem. According to decoherence, the observed system is open to a macroscopic apparatus(together with a…

Quantum Physics · Physics 2015-04-08 Yu-Lei Feng , Yi-Xin Chen

Non-Gaussian states, described by Wigner quasi-probability distribution taking negative values, are of great interest for various applications of quantum physics. It is known however that they are highly vulnerable to dissipation. In this…

Quantum Physics · Physics 2025-09-26 Boulat Nougmanov

We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This…

Mathematical Physics · Physics 2017-07-05 Fabio Bagarello

We introduce a formalism of nonlinear canonical transformations for general systems of multiphoton quantum optics. For single-mode systems the transformations depend on a tunable free parameter, the homodyne local oscillator angle; for…

Quantum Physics · Physics 2007-05-23 Fabio Dell'Anno , Silvio De Siena , Fabrizio Illuminati
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