Study of photon statistics using a compound Poisson distribution and quadrature measurements

Bogdanov, Yu. I.; Богданова, Н. А.; Katamadze, K. G.; Avosopyants, G. V.; Лукичев, В. Ф.

doi:10.3103/s8756699016050095

Cited by 19 publications

(17 citation statements)

References 31 publications

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“…This distribution describes a multimode thermal state, where a is the number of modes [18]. It can be shown, that the same distribution applies also to the single-mode multiphoton-subtracted thermal state [13,14,16].…”

Section: Thermal Statementioning

confidence: 99%

Multiphoton subtracted thermal states: Description, preparation, and reconstruction

et al. 2017

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We present a study of optical quantum states generated by subtraction of photons from the thermal state. Some aspects of their photon number and quadrature distributions are discussed and checked experimentally. We demonstrate an original method of up to ten photon subtracted state preparation with use of just one single-photon detector. All the states where measured with use of balanced homodyne technique, and the corresponding density matrices where reconstructed. The fidelity between desired and reconstructed states exceeds 99%. Combined with homodyne detection it can also be used for precise measurement of high-order autocorrelation functions.

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Section: Thermal Statementioning

confidence: 99%

Multiphoton subtracted thermal states: Description, preparation, and reconstruction

et al. 2017

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“…where 11  and 22  -are symmetric covariance matrices, 12  and 21  -are cross-covariance matrices, 12 21…”

Section: Analytical Equations Of Schmidt Modesmentioning

confidence: 99%

“…Note that the condition of existence of a nontrivial column vector b is given by equation (12). Let us assume that covariance matrices 11  и 22  are nondegenerates.…”

Section: Analytical Equations Of Schmidt Modesmentioning

confidence: 99%

“…The sets of coefficients  and  for transform to the canonical variables are given by 11 12 21 22 The initial probability distribution corresponds to quantum state (5) which is a four-dimensional numerical array. Having rearranged elements in this array, it is possible to get a matrix, the rows of which correspond to a subsystem of random variables 12 , XX , and the columns to subsystem 34 , XX . Applying the Schmidt decomposition, it is possible to find Schmidt modes for both subsystems.…”

Section: Analytical Equations Of Schmidt Modesmentioning

confidence: 99%

“…This distribution describes a multimode thermal state, where a is the number of modes [11]. It can be shown that the same distribution also applies to the single-mode multiphoton-subtracted thermal state [12]. If the parameter of clusterization tends to infinity, then the compound Poisson distribution reduces to the common Poisson distribution.…”

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Schmidt decomposition and multivariate statistical analysis

Bogdanov¹,

Богданова

Fastovets³

et al. 2016

SPIE Proceedings

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The new method of multivariate data analysis based on the complements of classical probability distribution to quantum state and Schmidt decomposition is presented. We considered Schmidt formalism application to problems of statistical correlation analysis. Correlation of photons in the beam splitter output channels, when input photons statistics is given by compound Poisson distribution is examined. The developed formalism allows us to analyze multidimensional systems and we have obtained analytical formulas for Schmidt decomposition of multivariate Gaussian states. It is shown that mathematical tools of quantum mechanics can significantly improve the classical statistical analysis. The presented formalism is the natural approach for the analysis of both classical and quantum multivariate systems and can be applied in various tasks associated with research of dependences.

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Non-Gaussianity of multiple photon-subtracted thermal states in terms of compound-Poisson photon number distribution parameters: theory and experiment

Avosopiants¹,

Katamadze²,

Bogdanov³

et al. 2018

Laser Phys. Lett.

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AnnotationThe multiphoton-subtracted thermal states are an interesting example of quantum states of light which are both classical and non-Gaussian. All the properties of such states can be described by just two parameters of compound-Poisson photon number distribution. The non-Gaussianity dependency on these parameters has been calculated numerically and analytically. The loss of non-Gaussianity during the optical damping has been also studied experimentally.

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Study of photon statistics using a compound Poisson distribution and quadrature measurements

Cited by 19 publications

References 31 publications

Multiphoton subtracted thermal states: Description, preparation, and reconstruction

Multiphoton subtracted thermal states: Description, preparation, and reconstruction

Schmidt decomposition and multivariate statistical analysis

Non-Gaussianity of multiple photon-subtracted thermal states in terms of compound-Poisson photon number distribution parameters: theory and experiment

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