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The notions of qubits and coherent states correspond to different physical systems and are described by specific formalisms. Qubits are associated with a two-dimensional Hilbert space and can be illustrated on the Bloch sphere. In contrast,…

Quantum Physics · Physics 2017-10-18 Christian R. Müller , Gerd Leuchs , Christoph Marquardt , Ulrik L. Andersen

The complete reducibility property for bipartite states reduced the separability problem to a proper subset of positive under partial transpose states and was used to prove several theorems inside and outside entanglement theory. So far…

Quantum Physics · Physics 2025-09-10 Daniel Cariello

Models of quantum and classical particles on the d-dimensional cubic lattice with pair interparticle interactions are considered. The classical model is obtained from the corresponding quantum one when the reduced physical mass of the…

Mathematical Physics · Physics 2007-05-23 Sergio Albeverio , Yuri Kondratiev , Yuri Kozitsky

Notions of robust and "classical" states for an open quantum system are introduced and discussed in the framework of the isometric-sweeping decomposition of trace class operators. Using the predictability sieve proposed by Zurek,…

Quantum Physics · Physics 2009-11-06 Ph. Blanchard , R. Olkiewicz

We consider a quantum entangled state for two particles, each particle having two basis states, which includes an entangled pair of spin 1/2 particles. We show that, for any quantum entangled state vectors of such systems, one can always…

Quantum Physics · Physics 2020-02-25 Toru Ohira

We consider the smallest possible directional reference frames allowed and determine the best one can ever do in preserving quantum information in various scenarios. We find that for the preservation of a single spin state, two orthogonal…

Quantum Physics · Physics 2011-07-13 David Jennings

The capability to quantitatively distinguish quantum states is of great importance for a variety of tasks, and has recently played an important role in the study of quantum reduced dynamics and their characterization in terms of memory…

Quantum Physics · Physics 2025-06-04 Bassano Vacchini , Andrea Smirne , Nina Megier

The bipartite entanglement of a pure quantum state is known to be characterized by its Schmidt decomposition. In particular the state is maximally entangled when all the Schmidt coefficients are equal. We point out a convenient method which…

Quantum Physics · Physics 2008-01-09 M. Bhattacharya

This paper is concerned with the concept of {\em information state} and its use in optimal feedback control of classical and quantum systems. The use of information states for measurement feedback problems is summarized. Generalization to…

Quantum Physics · Physics 2014-06-23 Matthew James

A special class of states of 2-qubits which are simultaneously separable and have positive semidefinite Wigner functions is described.

Quantum Physics · Physics 2025-10-07 Arsen Khvedelidze , Dimitar Mladenov , Astghik Torosyan

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

Quantum Physics · Physics 2007-05-23 Arnold Neumaier

We examine the perfect cloning of non-local, orthogonal states with only local operations and classical communication. We provide a complete characterisation of the states that can be cloned under these restrictions, and their relation to…

Quantum Physics · Physics 2009-11-11 Alastair Kay , Marie Ericsson

Quantization in the mini-superspace of a gravity system coupled to a perfect fluid, leads to a solvable model which implies singularity free solutions through the construction of a superposition of the wavefunctions. We show that such…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. B. Batista , J. C. Fabris , S. V. B. Goncalves , J. Tossa

It is possible to construct a classical, macroscopic system which has a mathematical structure that is exactly the same as that of a quantum mechanical system and which can be put into a state which is identical to quantum mechanical…

Quantum Physics · Physics 2014-06-30 D. W. Snoke

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The…

Quantum Physics · Physics 2020-10-08 Hayato Arai , Yuuya Yoshida , Masahito Hayashi

The problem of how to obtain quasi-classical states for quantum groups is examined. A measure of quantum indeterminacy is proposed, which involves expectation values of some natural quantum group operators. It is shown that within any…

q-alg · Mathematics 2008-02-03 R. Delbourgo , R. B. Zhang

Unique set of coherent states for the anharmonic oscillator is obtained by requiring i. under the quantum mechanical time evolution a coherent state evolves into another, governed by trajectory in the classical phase space (of a related…

Quantum Physics · Physics 2007-05-23 H. S. Sharatchandra

A superintegrable system is, roughly speaking, a system that allows more integrals of motion than degrees of freedom. This review is devoted to finite dimensional classical and quantum superintegrable systems with scalar potentials and…

Mathematical Physics · Physics 2015-06-17 Willard Miller , Sarah Post , Pavel Winternitz

Genuine multipartite entanglement and full inseparability are two inequivalent quantum resources. Even though all genuinely multipartite entangled states are also fully inseparable, not all fully inseparable states are genuinely…

Quantum Physics · Physics 2026-05-28 Olga Leskovjanová , Klára Baksová , Jan Provazník , Ladislav Mišta, , Nicolai Friis

A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a formally exact solution which we subject to a…

Optics · Physics 2009-10-31 Petr A. Braun , Daniel Braun , Fritz Haake , Joachim Weber
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