scholarly journals Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Dylan Durieux ◽  
Willi-Hans Steeb
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Bell Inequality ◽  
Bell States ◽  
Husimi Distribution ◽  
Spin Coherent States

Abstract We investigate spin Hamilton operators and compare spin coherent states and Bell states concerning entanglement, Husimi distributions, uncertainty relation and Bell inequality. The distances between spin coherent states and Bell states are derived. The Rayleigh quotients of spin Hamilton operators for spin coherent states and Bell states are evaluated and compared.

Maximal violations of a Bell inequality by entangled spin-coherent states

2009 ◽  
Vol 79 (2) ◽  
Author(s):  
Christopher C. Gerry ◽  
Adil Benmoussa ◽  
Edwin E. Hach ◽  
Jaroslav Albert
Keyword(s):  
Coherent States ◽  
Bell Inequality ◽  
Spin Coherent States

New Construction of Bell States Using Entangled Modified Spin Coherent States

2016 ◽  
Vol 37 (1) ◽  
pp. 62-68
Author(s):  
H. Amellal ◽  
A. Meslouhi ◽  
A. El Allati ◽  
Y. Hassouni
Keyword(s):  
Coherent States ◽  
Bell States ◽  
New Construction ◽  
Spin Coherent States

Two-party QPC with polarization-entangled Bell states and the coherent states

2014 ◽  
Vol 14 (3&4) ◽  
pp. 236-254
Author(s):  
Xiao-Ming Xiu ◽  
Li Dong ◽  
Hong-Zhi Shen ◽  
Ya-Jun Gao ◽  
X. X. Yi
Keyword(s):  
Coherent States ◽  
Single Photon ◽  
The Other ◽  
Bell States ◽  
Third Party ◽  
Nonlinear Interactions ◽  
Analysis Method ◽  
Beam Splitters ◽  
Kerr Media ◽  
Einstein Podolsky Rosen

We propose a protocol of quantum privacy comparison with polarization-entangled Einstein-Podolsky-Rosen (Bell) states and the coherent states. One of two legitimate participants, Alice, prepares polarization-entangled Bell states and keeps one photon of each photon pair and sends the other photons to the third party, Charlie. Receiving the photons, Charlie performs single-photon transformation operations on them and then sends them to the other legitimate participant, Bob. Three participants adopt parity analysis method to check the distribution security of Bell states. Exploiting polarization beam splitters and nonlinear interactions mediated by the probe coherent states in Kerr media, Alice and Bob check the parities of their photons using the bases of $\{\ket H, \ket V\}$ or $\{\ket +, \ket -\}$. On the basis of the parity analysis outcomes and Charlie's publicized information, they can analyze the security of the distributed quantum channel. Confirming secure distribution of the shared Bell states, two participants perform respective parity measurements on the privacy photons and own photons of Bell states, and then send the results to Charlie. According to information provided by two legitimate participants and his single-qubit transformation operations, Charlie compares the privacy information of Alice and Bob and publicizes the conclusion.

Nonclassicality of photon-modulated spin coherent states in the Holstein-Primakoff realization

2021 ◽  
Author(s):  
Xiaoyan Zhang ◽  
Jisuo Wang ◽  
Lei Wang ◽  
Xiangguo Meng ◽  
Baolong Liang
Keyword(s):  
Coherent States ◽  
Wigner Distribution ◽  
Hermite Polynomials ◽  
Photon Number ◽  
Spin Ladder ◽  
Bernoulli Distribution ◽  
Ladder Operators ◽  
Spin Number ◽  
Photon Number Distribution ◽  
Spin Coherent States

Abstract Two new photon-modulated spin coherent states (SCSs) are introduced by operating the spin ladder operators J ± on the ordinary SCS in the Holstein-Primakoff realization and the nonclassicality is exhibited via their photon number distribution, second-order correlation function, photocount distribution and negativity of Wigner distribution. Analytical results show that the photocount distribution is a Bernoulli distribution and the Wigner functions are only associated with two-variable Hermite polynomials. Compared with the ordinary SCS, the photon-modulated SCSs exhibit more stronger nonclassicality in certain regions of the photon modulated number k and spin number j, which means that the nonclassicality can be enhanced by selecting suitable parameters.

Photon added coherent states of the parity deformed oscillator

2019 ◽  
Vol 34 (14) ◽  
pp. 1950104 ◽  
Author(s):  
A. Dehghani ◽  
B. Mojaveri ◽  
S. Amiri Faseghandis
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Annihilation Operator ◽  
Single Mode ◽  
Heisenberg Algebra ◽  
Uncertainty Relations ◽  
Deformed Oscillator ◽  
Cat States ◽  
Poissonian Statistics ◽  
Creation Operators

Using the parity deformed Heisenberg algebra (RDHA), we first establish associated coherent states (RDCSs) for a pseudo-harmonic oscillator (PHO) system that are defined as eigenstates of a deformed annihilation operator. Such states can be expressed as superposition of an even and odd Wigner cat states.[Formula: see text] The RDCSs minimize a corresponding uncertainty relation, and resolve an identity condition through a positive definite measure which is explicitly derived. We introduce a class of single-mode excited coherent states (PARDCS) of the PHO through “m” times application of deformed creation operators to RDCS. For the states thus constructed, we analyze their statistical properties such as squeezing and sub-Poissonian statistics as well as their uncertainty relations.

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