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Common Coherence Witnesses and Common Coherent States [PDF]
Entropy, 2021 We show the properties and characterization of coherence witnesses. We show methods for constructing coherence witnesses for an arbitrary coherent state. We investigate the problem of finding common coherence witnesses for certain class of states. We show that finitely many different witnesses W1,W2,⋯,Wn can detect some common coherent states if and ...
Bang-Hai Wang +3 more
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Quantifying the Coherence between Coherent States [PDF]
Physical Review Letters, 2017 8 pages, 2 ...
Tan, Kok Chuan +3 more
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Reduction and coherent states [PDF]
Letters in Mathematical Physics, 2021 33 pages, 4 ...
Jenia Rousseva, Alejandro Uribe
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Journal of Physics A: Mathematical and Theoretical, 2012 The aim of this paper is to give a self-contained and unified presentation of a fermionic coherent state theory with the necessary mathematical details, discussing their definition, properties and some applications. After defining Grassmann algebras, it is possible to get a classical analog for the fermionic degrees of freedom in a quantum system ...
Combescure, M., Robert, D.
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Number state filtered coherent states
Quantum Information Processing, 2018 Number state filtering in coherent states leads to sub-Poissonian photon statistics. These states are more suitable for phase estimation when compared with the coherent states. Nonclassicality of these states is quantified in terms of the negativity of the Wigner function and the entanglement potential.
Meher, Nilakantha, Sivakumar, S.
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, 2009 To appear in: Compendium of Quantum Physics: Concepts, Experiments, History and Philosophy, eds. D. Greenberger, K. Hentschel, and F. Weinert (Springer, New York, 2009), pp.
Milonni, Peter W., Nieto, Michael Martin
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, 2012 In this chapter we consider that the unit sphere \(\mathbb {S}^{2}\) of the Euclidean space ℝ3 with its canonical symplectic structure is a phase space. Then coherent states are labeled by points on \(\mathbb {S}^{2}\) and allow us to build a quantization of the two sphere \(\mathbb {S}^{2}\).
Monique Combescure, Didier Robert
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Groupoids and Coherent States [PDF]
Open Systems & Information Dynamics, 2019 Schwinger’s algebra of selective measurements has a natural interpretation in terms of groupoids. This approach is pushed forward in this paper to show that the theory of coherent states has a natural setting in the framework of groupoids. Thus given a quantum mechanical system with associated Hilbert space determined by a representation of a groupoid,
Di Cosmo, Fabio +2 more
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Coherent states measurement entropy [PDF]
Journal of Physics A: Mathematical and General, 1997 Coherent states (CS) quantum entropy can be split into two components. The dynamical entropy is linked with the dynamical properties of a quantum system. The measurement entropy, which tends to zero in the semiclassical limit, describes the unpredictability induced by the process of a quantum approximate measurement.
Kwapień, Jarosław +2 more
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Journal of Mathematical Physics, 2002 We generalize Schwinger boson representation of SU(2) algebra to SU(N) and define coherent states of SU(N) using 2(2N−1−1) bosonic harmonic oscillator creation and annihilation operators. We give an explicit construction of all (N-1) Casimirs of SU(N) in terms of these creation and annihilation operators.
Mathur, Manu, Mani, H. S.
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