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This paper proposes a machine learning method to characterize photonic states via a simple optical circuit and data processing of photon number distributions, such as photonic patterns. The input states consist of two coherent states used…

A family of probability distributions attached to a class of generalized weighted Bergman spaces on the Poincar\'e disk are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained…

Mathematical Physics · Physics 2010-03-24 Nour Eddine Askour , Zouhair Mouayn

Imaging technologies such as dynamic viewpoint generation are engineered for incoherent radiation using the traditional light field, and for coherent radiation using electromagnetic field theory. We present a model of coherent image…

Optics · Physics 2015-05-13 Anthony Accardi , Gregory Wornell

Recently, we have determined the spectrum and the wave functions of the Hamiltonian of a Landau particle with time-dependent mass and frequency undergoing the influence of a uniform time-dependent electric field[J. Math. Phys. 56, 072104…

Quantum Physics · Physics 2021-01-08 Latévi Mohamed Lawson , Komi Sodoga , Gabriel Y. H. Avossevou

The affine coherent states quantization is a promising integral quantization of Hamiltonian systems when the phase space includes at least one conjugate pair of variables which takes values from a half-plane. Such a situation is common for…

Mathematical Physics · Physics 2020-12-15 Andrzej Góźdź , Włodzimierz Piechocki , Tim Schmitz

Polarization coherent states (PCS) are considered as generalized coherent states of $SU(2)_p$ group of the polarization invariance of the light fields. The geometric phases of PCS are introduced in a way, analogous to that used in the…

Quantum Physics · Physics 2007-05-23 V. P. Karassiov , V. L. Derbov , S. I. Vinitsky , Olga M. Priyutova

The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables. The Wigner and the coherent-state quasiprobabilities are also presented…

Quantum Physics · Physics 2009-10-30 Vladimir I. Man'ko , Alfred Wünsche

We analyze the impact of both an incoherent and a coherent continuous excitation on our proposal to generate a two-photon state from a quantum dot in a microcavity [New J. Phys. 13, 113014 (2011)]. A comparison between exact numerical…

Mesoscale and Nanoscale Physics · Physics 2012-11-01 Elena del Valle , Alejandro Gonzalez-Tudela , Fabrice P. Laussy

Travelling modes of single-photon-added coherent states (SPACS) are characterized via optical homodyne tomography. Given a set of experimentally measured quadrature distributions, we estimate parameters of the state and also extract…

Quantum Physics · Physics 2013-04-01 S. N. Filippov , V. I. Man'ko , A. S. Coelho , A. Zavatta , M. Bellini

At measurements of gamma-radiation spectra from ultra-relativistic electrons in periodic structures, pileup of events in the calorimeter may cause significant deviation of the detector signal from the classically evaluated spectrum. That…

Accelerator Physics · Physics 2015-06-17 M. V. Bondarenco

The Wigner function of the compass state (a superposition of four coherent states) develops phase-space structures of dimension much less than the Planck scale, which are crucial in determining the sensitivity of these states to phase-space…

Quantum Physics · Physics 2023-05-31 Naeem Akhtar , Jizhou Wu , Jia-Xin Peng , Wu-Ming Liu , Gao Xianlong

We introduce the entangled coherent state representation, which provides a powerful technique for efficiently and elegantly describing and analyzing quantum optics sources and detectors while respecting the photon number superselection rule…

Quantum Physics · Physics 2007-05-23 Barry C. Sanders , Stephen D. Bartlett , Terry Rudolph , Peter L. Knight

For one-mode and multimode light, the photon-number tomograms of Gaussian quantum states are explicitly calculated in terms of multivariable Hermite polynomials. Positivity of the tomograms is shown to be necessary condition for positivity…

Quantum Physics · Physics 2019-03-07 Olga Man'ko , V. I. Man'ko

A general algorithm has been given for the generation of Coherent and Squeezed states, in one-dimensional hamiltonians with shape invariant potential, obtained from the master function. The minimum uncertainty states of these potentials are…

Mathematical Physics · Physics 2007-05-23 M. A. Jafarizadeh , A. Rostami

The state of a microscopic system encodes its complete quantum description, from which the probabilities of all measurement outcomes are inferred. Being a statistical concept, the state cannot be obtained from a single system realization.…

Encoding many qubits in different degrees of freedom (DOFs) of single photons is one of the routes towards enlarging the Hilbert space spanned by a photonic quantum state. Hyperentangled photon states (i.e. states showing entanglement in…

We investigate permutation-invariant continuous variable quantum states and their covariance matrices. We provide a complete characterization of the latter with respect to permutation-invariance, exchangeability and representing convex…

Quantum Physics · Physics 2009-11-13 Robert Koenig , Michael M. Wolf

Superposition of optical coherent states $\left|\pm\alpha\right\rangle$, possessing opposite phases, play an important role as qubits in quantum information processing (QIP) tasks and are of fundamental importance in testing quantum…

Quantum Physics · Physics 2019-07-30 Manoj K Mishra , Hari Prakash , Vibhuti B Jha

A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to…

Quantum Physics · Physics 2021-04-14 V. P. Spiridonov

We study the degree of entanglement of arbitrary superpositions of $m,n$ photon-added coherent states (PACS) $|\psi\rangle \propto u |{\alpha},m\rangle |{\beta},n \rangle+ v |{\beta},n\rangle |{\alpha},m\rangle$ using the concurrence, and…

Quantum Physics · Physics 2016-04-25 Francisco A. Dominguez-Serna , Francisco J. Mendieta , Fernando Rojas