TY  - JOUR
AU  - Popov, Dejan
AU  - Pop, Nicolina
AU  - Davidović, Milena
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/521
AB  - In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.
T2  - Physica Scripta
T1  - Negative binomial states for the pseudoharmonic oscillator
DO  - 10.1088/0031-8949/2013/T153/014051
ER  - 

@article{
author = "Popov, Dejan and Pop, Nicolina and Davidović, Milena",
year = "2013",
abstract = "In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.",
journal = "Physica Scripta",
title = "Negative binomial states for the pseudoharmonic oscillator",
doi = "10.1088/0031-8949/2013/T153/014051"
}

Popov, D., Pop, N.,& Davidović, M.. (2013). Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2013/T153/014051

Popov D, Pop N, Davidović M. Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta. 2013;.
doi:10.1088/0031-8949/2013/T153/014051 .

Popov, Dejan, Pop, Nicolina, Davidović, Milena, "Negative binomial states for the pseudoharmonic oscillator" in Physica Scripta (2013),
https://doi.org/10.1088/0031-8949/2013/T153/014051 . .

TY  - JOUR
AU  - Pop, Nicolina
AU  - Popov, Dejan
AU  - Davidović, Milena
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/520
AB  - In the quantum information theory operates with qubits and N-qubits that can be express through coherent states. Density operator admits a representation in terms of coherent states formalism. Consequently, in this paper the notions of qubit and density operators are described in the framework of coherent states. We have expressed a qubit as a coherent state, and thus a sequence of qubits becomes the tensor product of the coherent states. For the ensembles of qubits, it could be used the density operator, in order to describe the informational content of the ensemble. The coherent states representation may play an important role in the quantum information theory and the use of this formalism is not only theoretical, but also, due to its applications, of some practical relevance.
T2  - International Journal of Theoretical Physics
T1  - Density Operator in Terms of Coherent States Representation with the Applications in the Quantum Information
EP  - 2283
IS  - 7
SP  - 2275
VL  - 52
DO  - 10.1007/s10773-013-1508-4
ER  - 

@article{
author = "Pop, Nicolina and Popov, Dejan and Davidović, Milena",
year = "2013",
abstract = "In the quantum information theory operates with qubits and N-qubits that can be express through coherent states. Density operator admits a representation in terms of coherent states formalism. Consequently, in this paper the notions of qubit and density operators are described in the framework of coherent states. We have expressed a qubit as a coherent state, and thus a sequence of qubits becomes the tensor product of the coherent states. For the ensembles of qubits, it could be used the density operator, in order to describe the informational content of the ensemble. The coherent states representation may play an important role in the quantum information theory and the use of this formalism is not only theoretical, but also, due to its applications, of some practical relevance.",
journal = "International Journal of Theoretical Physics",
title = "Density Operator in Terms of Coherent States Representation with the Applications in the Quantum Information",
pages = "2283-2275",
number = "7",
volume = "52",
doi = "10.1007/s10773-013-1508-4"
}

Pop, N., Popov, D.,& Davidović, M.. (2013). Density Operator in Terms of Coherent States Representation with the Applications in the Quantum Information. in International Journal of Theoretical Physics, 52(7), 2275-2283.
https://doi.org/10.1007/s10773-013-1508-4

Pop N, Popov D, Davidović M. Density Operator in Terms of Coherent States Representation with the Applications in the Quantum Information. in International Journal of Theoretical Physics. 2013;52(7):2275-2283.
doi:10.1007/s10773-013-1508-4 .

Pop, Nicolina, Popov, Dejan, Davidović, Milena, "Density Operator in Terms of Coherent States Representation with the Applications in the Quantum Information" in International Journal of Theoretical Physics, 52, no. 7 (2013):2275-2283,
https://doi.org/10.1007/s10773-013-1508-4 . .