Q-Deformed SU(1,1) and SU(2) squeezed and intelligent states and quantum entanglement

Rouabah, Mohamed Taha; Mebarki, N.; Ghiti, M. F.

doi:10.1063/1.4715427

Cited by 3 publications

(2 citation statements)

References 19 publications

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“…Furthermore, quantum entanglement (Q.E.) has been extensively studied in non-relativistic flat-space setups and expanding universes [4][5][6][7][8][9][10][11][12][13][14][15]. Increasing interest to the emerging field of relativistic quantum information and entanglement has attracted many people [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

Ghiti

Mebarki

Aissaoui

2015

Int. J. Mod. Phys. A

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The non-commutative Bianchi I curved space-time vierbeins and spin connections are derived. Moreover, the corresponding non-commutative Dirac equation as well as its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann fermion-antifermion pair creation quantum entanglement entropy is studied. It is shown that its behaviour is strongly dependent on the value of the non-commutativity θ parameter, k ⊥ -modes frequencies and the structure of the curved space-time. Various discussions of the obtained features are presented.

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Section: Introductionmentioning

confidence: 99%

Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

Ghiti

Mebarki

Aissaoui

2015

Int. J. Mod. Phys. A

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“…Specific instances of generalized bosons were first introduced in Refs. [26][27][28] and find applications for solving integrable systems [29][30][31][32] and even interacting bosonic systems via perturbation theory [33]. As we discuss in more detail below, modes obeying generalized commutation relation can also be found in AMO systems.…”

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confidence: 99%

Boson Sampling for Generalized Bosons

Kuo¹,

Xu²,

Hangleiter³

et al. 2022

Preprint

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We introduce the notion of "generalized bosons" whose exchange statistics resemble those of bosons, but the local bosonic commutator [a, a † ] = 1 is replaced by an arbitrary single-mode operator that is diagonal in the generalized Fock basis. Examples of generalized bosons include boson pairs and spins. We consider the analogue of the boson sampling task for these particles and observe that its output probabilities are still given by permanents, so that the results regarding hardness of sampling directly carry over. Finally, we propose implementations of generalized boson sampling in circuit-QED and ion-trap platforms.

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Boson sampling for generalized bosons

Kuo

Hangleiter

et al. 2022

Phys. Rev. Research

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Q-Deformed SU(1,1) and SU(2) squeezed and intelligent states and quantum entanglement

Abstract: The intelligent states (IS) associated with the suq(1, 1) and suq(2) q-deformed Lie algebra are investigated. The eigenvalue problem is also discussed.

Cited by 3 publications

References 19 publications

Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

Boson Sampling for Generalized Bosons

Boson sampling for generalized bosons

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