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It is well established that unpolarized light is invariant with respect to any SU(2) polarization transformation. This requirement fully characterizes the set of density matrices representing unpolarized states. We introduce the degree of…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , L. L. Sanchez-Soto , E. C. Yustas , J. Soderholm , G. Bjork

In this article we make a comparison between the behavior of entanglement and quantum degree of polarization for a special class of states of the radiation field, namely the Bell-type diagonal mixed states. For the three-photon mixed states…

Quantum Physics · Physics 2018-04-16 Iulia Ghiu

The degree of polarization of a quantum state can be defined as its Hilbert-Schmidt distance to the set of unpolarized states. We demonstrate that the states optimizing this degree for a fixed average number of photons $\bar{N}$ present a…

Quantum Physics · Physics 2008-07-25 L. L. Sanchez-Soto , E. C. Yustas , G. Bjork , A. B. Klimov

We analyze the polarization of a quantum radiation field under a de-Gaussification process. Specifically, we consider the addition of photons to a two-mode thermal state to get mixed non-Gaussian and nonclassical states which are still…

Quantum Physics · Physics 2018-09-28 Iulia Ghiu , Paulina Marian , Tudor A. Marian

Within the new description of the polarization structure of quantum light (given in Part I) some types of generalized coherent states related to the polarization SU(2) group are examined. With their help we give a quasiclassical description…

Quantum Physics · Physics 2008-02-03 V. P. Karassiov

We present a moment expansion method for the systematic characterization of the polarization properties of quantum states of light. Specifically, we link the method to the measurements of the Stokes operator in different directions on the…

Classical definition of degree of polarization is expressed in quantum domain by replacing intensities through quantum mechanical average values of relevant number operators and is viewed as first generalization of Intensity. This…

Quantum Physics · Physics 2013-03-19 Ravi S. Singh , Hari Prakash

We evaluate a Gaussian distance-type degree of nonclassicality for a single-mode Gaussian state of the quantum radiation field by use of the recently discovered quantum Chernoff bound. The general properties of the quantum Chernoff overlap…

Quantum Physics · Physics 2009-11-13 Madalina Boca , Iulia Ghiu , Paulina Marian , Tudor A. Marian

We show that any pure, two-mode, $N$-photon state with $N$ odd or equal to two can be transformed into an orthogonal state using only linear optics. According to a recently suggested definition of polarization degree, this implies that all…

Partial polarization is the manifestation of the correlation between two mutually orthogonal transverse field components associated with a light beam. We show both theoretically and experimentally that the origin of this correlation can be…

We demonstrate a coherent quantum measurement for the determination of the degree of polarization (DOP). This method allows to measure the DOP in the presence of fast polarization state fluctuations, difficult to achieve with the typically…

Quantum Physics · Physics 2009-11-10 M. Legre , M. Wegmuller , N. Gisin

We consider the problem of discriminating two different quantum states in the setting of asymptotically many copies, and determine the optimal strategy that minimizes the total probability of error. This leads to the identification of the…

Quantum Physics · Physics 2007-05-23 K. M. R. Audenaert , J. Calsamiglia , Ll. Masanes , R. Munoz-Tapia , A. Acin , E. Bagan , F. Verstraete

Polarization of light is harnessed in an abundance of classical and quantum applications. Characterizing polarization in a classical sense is done resoundingly successfully using the Stokes parameters, and numerous proposals offer new…

Quantum Physics · Physics 2018-10-05 Aaron Z. Goldberg , Daniel F. V. James

Polarization of light is one of the fundamental concepts in optics. There are many ways to measure and characterise this feature of light but at the fundamental level it is quantum mechanics that imposes ultimate limits to such…

Quantum Physics · Physics 2021-12-13 Marcin Jarzyna

We present a complete polarization characterization of any quantum state of two orthogonal polarization modes, and give a systematic measurement procedure to collect the necessary data. Full characterization requires measurements of the…

Quantum Physics · Physics 2015-06-11 Jonas Soderholm , Gunnar Bjork , Andrei B. Klimov , Luis L. Sanchez-Soto , Gerd Leuchs

We discuss different proposals for the degree of polarization of quantum fields. The simplest approach, namely making a direct analogy with the classical description via the Stokes operators, is known to produce unsatisfactory results.…

Quantum Physics · Physics 2010-09-23 G. Bjork , J. Soderholm , L. L. Sanchez-Soto , A. B. Klimov , I. Ghiu , P. Marian , T. A. Marian

We provide a tool for measuring the Stokes parameters and the degree of polarization of single photons by employing second order interference, namely the Hong-Ou-Mandel (HOM) interferometer. It is shown that the technique is able to…

Quantum Physics · Physics 2023-12-22 Guilherme P. Temporão , Pedro Ripper , Thiago B. Guerreiro , Gustavo C. do Amaral

Hypothesis testing is a fundamental issue in statistical inference and has been a crucial element in the development of information sciences. The Chernoff bound gives the minimal Bayesian error probability when discriminating two hypotheses…

Quantum Physics · Physics 2009-11-13 J. Calsamiglia , R. Munoz-Tapia , Ll. Masanes , A. Acin , E. Bagan

The degree of polarimetric purity is an invariant dimensionless quantity that characterizes the closeness of a polarization state of a wave to a pure state and is related to the Von Neumann entropy. The polarimetric purity of a plane wave…

Classical Physics · Physics 2022-02-22 Avik Bhattacharya , Subhadip Dey , Alejandro C. Frery

Polarization is one of light's most versatile degrees of freedom for both classical and quantum applications. The ability to measure light's state of polarization and changes therein is thus essential; this is the science of polarimetry. It…

Quantum Physics · Physics 2022-09-16 Aaron Z. Goldberg
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