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We show that real polarization method can be effectively used to geometrically quantize physical systems with compact phase space, like the spin. Our method enables us to construct a wave function of a qubit in both position and momentum…

Mathematical Physics · Physics 2015-12-10 Jerzy Kijowski , Piotr Waluk , Katarzyna Senger

We present a general model to account for the multimode nature of the quantum electromagnetic field in projective photon-counting measurements. We focus on photon-subtraction experiments, where non-gaussian states are produced…

In contrast to the standard quantum state tomography, the direct tomography seeks the direct access to the complex values of the wave function at particular positions (i.e., the expansion coefficient in a fixed basis). Originally put…

Quantum Physics · Physics 2021-11-18 Xuan-Hoai Thi Nguyen , Mahn-Soo Choi

We consider the Wigner quasi-probability distribution function of a single mode of an electromagnetic or matter-wave field to address the question of whether a direct stochastic sampling and binning of the absolute square of the complex…

Quantum Physics · Physics 2016-09-13 R. J. Lewis-Swan , M. K. Olsen , K. V. Kheruntsyan

We calculate the resonance fluorescence signal of a two-level system coupled to a quantized phonon mode. By treating the phonons in the independent boson model and not performing any approximations in their description, we also have access…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 Thilo Hahn , Daniel Groll , Hubert J. Krenner , Tilmann Kuhn , Paweł Machnikowski , Daniel Wigger

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…

Optics · Physics 2009-10-30 Konrad Banaszek , Peter L. Knight

The aim of this work is to estimate a quadratic functional of a unknown Wigner function from noisy tomographic data. The Wigner function can be seen as the representation of the quantum state of a light beam. The estimation of a quadratic…

Statistics Theory · Mathematics 2016-08-16 Katia Méziani

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…

Quantum Physics · Physics 2014-06-05 Anindya Banerji , Ravindra P. Singh , Abir Bandyopadhyay

Negativity of the Wigner function is arguably one of the most striking non-classical features of quantum states. Beyond its fundamental relevance, it is also a necessary resource for quantum speedup with continuous variables. As quantum…

Quantum Physics · Physics 2022-01-21 Ulysse Chabaud , Pierre-Emmanuel Emeriau , Frédéric Grosshans

Entanglement and wave function description are two of the core concepts that make quantum mechanics such a unique theory. A method to directly measure the wave function, using Weak Values, was demonstrated by Lundeen et al., Nature…

Conditional preparation of photon number states from a continuous-wave nondegenerate optical parametric oscillator is investigated. We derive the phase space Wigner function for the output state conditioned on photo detection events that…

Quantum Physics · Physics 2007-06-07 Anne E. B. Nielsen , Klaus Molmer

We demonstrate that the Wigner function of the Einstein-Podolsky-Rosen state, though positive definite, provides a direct evidence of the nonlocal character of this state. The proof is based on an observation that the Wigner function…

Quantum Physics · Physics 2009-10-31 Konrad Banaszek , Krzysztof Wodkiewicz

In this article we introduce a quasiprobability distribution of work that is based on the Wigner function. This construction rests on the idea that the work done on an isolated system can be coherently measured by coupling the system to a…

Quantum Physics · Physics 2023-11-03 Federico Cerisola , Franco Mayo , Augusto J. Roncaglia

We propose an experiment demonstrating the nonlocality of a quantum singlet-like state generated from a single photon incident on a beam splitter. Each of the two spatially separated apparatuses in the setup performs a strongly unbalanced…

Quantum Physics · Physics 2009-10-31 Konrad Banaszek , Krzysztof Wodkiewicz

States with a negative Wigner function, a significant subclass of nonclassical states, serve as a valuable resource for various quantum information processing tasks. Here, we provide a criterion for detecting such quantum states…

Quantum Physics · Physics 2025-03-06 Bivas Mallick , Sudip Chakrabarty , Saheli Mukherjee , Ananda G. Maity , A. S. Majumdar

The presence of negative values in the Wigner quasiprobability distribution is deemed one of the hallmarks of nonclassical phenomena in quantum systems. Here we demonstrate a classical model of squeezed light that, when combined with…

Quantum Physics · Physics 2026-01-27 Brian R. La Cour

Notwithstanding radical conceptual differences between classical and quantum mechanics, it is usually assumed that physical measurements concern observables common to both theories . Not so with the eigenvalues ($\pm 1$) of the parity…

Quantum Physics · Physics 2009-11-10 A. M. Ozorio de Almeida , O. Brodier

We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems. The state is represented through the Wigner function, a generalized probability density on…

Statistics Theory · Mathematics 2011-06-23 Cristina Butucea , Madalin Guţa , Luis Artiles

Central to quantum theory, the wavefunction is the complex distribution used to completely describe a quantum system. Despite its fundamental role, it is typically introduced as an abstract element of the theory with no explicit definition.…

Quantum Physics · Physics 2011-12-16 Jeff S. Lundeen , Brandon Sutherland , Aabid Patel , Corey Stewart , Charles Bamber

The analysis of wave-packet dynamics may be greatly simplified when viewed in phase-space. While harmonic oscillators are often used as a convenient platform to study wave-packets, arbitrary state preparation in these systems is more…

Quantum Physics · Physics 2015-06-11 Yoni Shalibo , Roy Resh , Ofer Fogel , David Shwa , Radoslaw Bialczak , John M. Martinis , Nadav Katz