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We apply the Wigner function formalism to the study of two-photon polarization-momentum hyperentanglement generated in parametric down conversion. It is shown that the consideration of a higher number of degrees of freedom is directly…

量子物理 · 物理学 2014-07-23 A. Casado , S. Guerra , J. Plácido

The Wigner representation of parametric down conversion in the Heisenberg picture is applied to the study of the Rome teleportation experiment. We investigate the physical meaning of the zeropoint inputs at the different areas of the…

量子物理 · 物理学 2018-08-29 A. Casado , S. Guerra , J. Plácido

We continue the analysis of our previous articles which were devoted to type-I parametric down conversion, the extension to type-II being straightforward. We show that entanglement, in the Wigner representation, is just a correlation that…

量子物理 · 物理学 2025-02-18 Alberto Casado , Trevor W. Marshall , Emilio Santos

We apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitter are reproduced by a wavelike description with zeropoint…

量子物理 · 物理学 2011-06-24 A. Casado , S. Guerra , J. Plácido

The negativity of the Wigner function is discussed as a measure of the non classicality and the quantum interference pattern obtained therein as a possible measure of the entanglement between the two modes of the vortex states. This measure…

量子物理 · 物理学 2014-06-05 Anindya Banerji , Ravindra P. Singh , Abir Bandyopadhyay

We first show that partial transposition for pure and mixed two-particle states in a discrete $N$-dimensional Hilbert space is equivalent to a change in sign of the momentum of one of the particles in the Wigner function for the state. We…

量子物理 · 物理学 2016-01-19 Y. B. Band , Pier A. Mello

I conjecture that only those states of light whose Wigner function is positive are real states, and give arguments suggesting that this is not a serious restriction. Hence it follows that the Wigner formalism in quantum optics is capable of…

量子物理 · 物理学 2007-05-23 Emilio Santos

We study the entanglement evolution of a quantum optical vortex state propagating through coupled lossless waveguides. We consider states generated by coupling two squeezed modes using a sequence of beam splitters and also by subtracting…

量子物理 · 物理学 2016-09-21 Anindya Banerji , Ravindra Pratap Singh , Dhruba Banerjee , Abir Bandyopadhyay

We show that the behaviour in phase space of the Wigner function associated to the electromagnetic modes carries the information of both, the entanglement properties between matter and field, and the regions in parameter space where quantum…

量子物理 · 物理学 2023-02-21 E. Nahmad-Achar , R. López-Peña , S. Cordero , O. Castaños

We present a phase space description of the process of quantum teleportation for a system with an $N$ dimensional space of states. For this purpose we define a discrete Wigner function which is a minor variation of previously existing ones.…

量子物理 · 物理学 2009-11-07 Juan Pablo Paz

We study degenerate three photon down conversion as a potential scheme for generating nonclassical states of light which exhibit clear signatures of phase space interference. The Wigner function representing these states contains an…

光学 · 物理学 2009-10-30 Konrad Banaszek , Peter L. Knight

Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create…

量子物理 · 物理学 2017-11-08 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

The phenomenon of parametric down conversion from the vacuum may be understood as a process in classical electrodynamics, in which a nonlinear crystal couples the modes of the pumping field with those of the zeropoint, or "vacuum" field.…

量子物理 · 物理学 2007-05-23 Trevor W. Marshall

We analyze theoretically spontaneous parametric down-conversion in a multimode nonlinear waveguide as a source of entangled pairs of spatial qubits, realized as superpositions of a photon in two orthogonal transverse modes of the waveguide.…

A polarization correlation experiment with two maximally entangled photons created by spontaneous parametric down-conversion is studied in the Weyl-Wigner formalism, that reproduces the quantum predictions. An interpretation is proposed in…

量子物理 · 物理学 2022-08-30 Emilio Santos

Using a perturbative approach, we investigate the parametric down-conversion process without the semi-classical approximation. A Wigner functional formalism, which incorporates both the spatiotemproal degrees of freedom and the…

量子物理 · 物理学 2020-09-16 Filippus S. Roux

The significance of photon addition in engineering the single- and two-mode (bipartite correlations) nonclassical properties of a quantum state is investigated. Specifically, we analyzed the behavior of the Wigner function of two…

量子物理 · 物理学 2022-06-10 Arpita Chatterjee , Kishore Thapliyal , Anirban Pathak

Recently, a non-Gaussian field, which may be a useful basis for entanglement distillation and efficient quantum teleportation, has been experimentally produced by subtracting a photon from a squeezed Gaussian field. We investigate the…

量子物理 · 物理学 2009-11-10 M. S. Kim , E. Park , P. L. Knight , H. Jeong

In previous articles we have developed a theory of down conversion in nonlinear crystals, based on the Wigner representation of the radiation field. Taking advantage of the fact that the Wigner function is always positive in parametric down…

量子物理 · 物理学 2007-05-23 Alberto Casado , Trevor Marshall , Ramon Risco-Delgado , Emilio Santos

The new process of quantum-injection into an optical parametric amplifier operating in entangled configuration is adopted to amplify into a large dimensionality spin 1/2 Hilbert space the quantum entanglement and superposition properties of…

量子物理 · 物理学 2007-05-23 F. A. Bovino , F. De Martini , V. Mussi
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