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Weak coherent states share many properties of the usual coherent states, but do not admit a resolution of unity expressed in terms of a local integral. They arise e.g. in the case that a group acts on an inadmissible fiducial vector.…

High Energy Physics - Theory · Physics 2009-11-10 Lorenz Hartmann , John R. Klauder

We demonstrate how large classes of discrete and continuous statistical distributions can be incorporated into coherent states, using the concept of a reproducing kernel Hilbert space. Each family of coherent states is shown to contain, in…

Mathematical Physics · Physics 2009-11-13 S. Twareque Ali , J. -P. Gazeau , B. Heller

Coherent states, and the Hilbert space representations they generate, provide ideal tools to discuss classical/quantum relationships. In this paper we analyze three separate classical/quantum problems using coherent states, and show that…

Quantum Physics · Physics 2015-05-19 John R. Klauder

The construction of oscillator-like systems connected with the given set of orthogonal polynomials and coherent states for such systems developed by authors is extended to the case of the systems with finite-dimensional state space. As…

Quantum Physics · Physics 2007-05-23 Vadim V. Borzov , Eugene V. Damaskinsky

Multi-mode entangled coherent states are important resources for linear optics quantum computation and teleportation. Here we introduce the generalized balanced N-mode coherent states which recast in the multi-qudit case. The necessary and…

Quantum Physics · Physics 2015-09-30 G. Najarbashi , S. Mirzaei

Designing coherent processes is essential for developing quantum information technologies. We study coherent dynamics of two spatially separated electrons in a coupled semiconductor double quantum dot (DQD), in which various two-qubit…

Mesoscale and Nanoscale Physics · Physics 2009-05-09 Gou Shinkai , Toshiaki Hayashi , Takeshi Ota , Toshimasa Fujisawa

The von Neumann type subsystems of $q$-deformed coherent states are considered. The completeness of such subsystems is proved.

q-alg · Mathematics 2008-02-03 A. M. Perelomov

Using the squeezed state formalism the coherent state representation of quantum fluctuations in an expanding universe is derived. It is shown that this provides a useful alternative to the Wigner function as a phase space representation of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. L. Matacz

Cooperative effects in the loss (the amplitude damping) and decoherence (the phase damping) of the qubits (two-state quantum systems) due to the inevitable coupling to the same environment are investigated. It is found that the qubits…

Quantum Physics · Physics 2007-05-23 Lu-Ming Duan , Guang-Can Guo

We propose the notion of faithful coherent states based on the fidelity-based coherence witness. The criterion for detecting faithful coherent states can be restricted to a subclass of fidelity-based criterion under unitary transformations…

Quantum Physics · Physics 2022-10-05 Jun Li , Lin Chen

Weak coherent states share many properties of the usual coherent states, but do not admit a resolution of unity expressed in terms of a local integral. They arise e.g. in the case that a group acts on an inadmissible fiducial vector.…

High Energy Physics - Theory · Physics 2007-05-23 Lorenz Hartmann

By adding a large inductance in a dc-SQUID phase qubit loop, one decouples the junctions' dynamics and creates a superconducting artificial atom with two internal degrees of freedom. In addition to the usual symmetric plasma mode ({\it…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Florent Lecocq , Ioan M. Pop , Iulian Matei , Etienne Dumur , A. K. Feofanov , Cécile Naud , Wiebke GUICHARD , Olivier Buisson

The dynamical evolution of a quantum register of arbitrary length coupled to an environment of arbitrary coherence length is predicted within a relevant model of decoherence. The results are reported for quantum bits (qubits) coupling…

Quantum Physics · Physics 2009-11-07 John H. Reina , Luis Quiroga , Neil F. Johnson

System-environment interaction may introduce dynamic destruction of quantum coherence, resulting in a special representation named as pointer states. Here, pointer states of an open electronic system are studied. The decoherence effect is…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Haoxiang Jiang , Yu Zhang

We present the solid-state quantum circuits that have been developed in order to implement quantum bits suitable for a quantum processor. These qubits are either based on the quantum state of a single particle (semiconductor qubits), or on…

Superconductivity · Physics 2007-05-23 D. Esteve , D. Vion

A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to…

Quantum Physics · Physics 2021-04-14 V. P. Spiridonov

When a superposition $(|\alpha>-|-\alpha>)$ of two coherent states with opposite phase falls upon a 50-50 beamsplitter, the resulting state is entangled. Remarkably, the amount of entanglement is exactly 1 ebit, irrespective of $\alpha$, as…

Quantum Physics · Physics 2009-11-06 S. J. van Enk , O. Hirota

We construct a class of generalized nonlinear coherent states by means of a newly obtained class of 2D complex orthogonal polynomials. The associated coherent states transform is discussed. A polynomials realization of the basis of the…

Mathematical Physics · Physics 2019-01-01 S. Twareque Ali , Zouhaïr Mouayn , Khalid Ahbli

The interaction of quantum objects lies at the heart of fundamental quantum physics and is key to a wide range of quantum information technologies. Photon-quantum-emitter interactions are among the most widely studied. Two-qubit…

We consider the nonclassicality distance indicator of a state in finite-dimensional quantum systems which is evaluating a state nonclassicality by its remoteness from the set of "classical states". The latter are identified with those…

Quantum Physics · Physics 2023-10-20 Arsen Khvedelidze , Astghik Torosyan
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