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It had been a long standing problem that there is no consistent definition of photon position operator nor photon number density in the context of quantum theory. In this paper we derive the photon detection operator, which defines location…

量子物理 · 物理学 2014-11-05 Shogo Tanimura

Recent electron quantum optics experiments performed with on-demand single electron sources call for a mixed time/frequency approach to electronic quantum coherence. Here, we present a Wigner function representation of first order…

介观与纳米尺度物理 · 物理学 2013-11-20 D. Ferraro , A. Feller , A. Ghibaudo , E. Thibierge , E. Bocquillon , G. Fève , C. Grenier , P. Degiovanni

We propose a realizable experimental scheme to prepare superposition of the vacuum and one-photon states by truncating an input coherent state. The scheme is based on the quantum scissors device proposed by Pegg, Phillips, and Barnett…

量子物理 · 物理学 2009-08-03 Sahin Kaya Ozdemir , Adam Miranowicz , Masato Koashi , Nobuyuki Imoto

Quantum engineering now allows to design and construct multi-qubit states in a range of physical systems. These states are typically quite complex in nature, with disparate, but relevant properties that include both single and multi-qubit…

We propose the Wigner separability entropy as a measure of complexity of a quantum state. This quantity measures the number of terms that effectively contribute to the Schmidt decomposition of the Wigner function with respect to a chosen…

量子物理 · 物理学 2012-05-23 Giuliano Benenti , Gabriel G. Carlo , Tomaz Prosen

The Wigner function is a quantum analogue of the classical joined distribution of position and momentum. As such is should be a good tool to study quantum-classical correspondence. In this paper, the classical limit of the Wigner function…

量子物理 · 物理学 2021-04-15 Jan Mostowski , Joanna Pietraszewicz

Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function--a generalized Wigner function--on a discrete 2^n x 2^n phase space. The phase space is…

量子物理 · 物理学 2007-05-23 William K. Wootters

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…

量子物理 · 物理学 2025-03-06 Bivas Mallick , Sudip Chakrabarty , Saheli Mukherjee , Ananda G. Maity , A. S. Majumdar

A wide range of experiments studying microwave photons localized in superconducting cavities have made important contributions to our understanding of the quantum properties of radiation. Propagating microwave photons, however, have so far…

量子物理 · 物理学 2011-09-07 C. Eichler , D. Bozyigit , C. Lang , L. Steffen , J. Fink , A. Wallraff

We consider transfer of a highly nonclassical quantum state through an optomechanical system. That is we investigate a protocol consisting of sequential upload, storage and reading out of the quantum state from a mechanical mode of an…

量子物理 · 物理学 2017-04-27 Andrey A. Rakhubovsky , Radim Filip

We examine the visualization of quantum mechanics in phase space by means of the Wigner function and the Wigner function flow as a complementary approach to illustrating quantum mechanics in configuration space by wave functions. The Wigner…

量子物理 · 物理学 2011-01-17 Heiko Bauke , Noya Ruth Itzhak

The positive operator valued measure (POVM) for a photon counting array detector is derived and found to equal photon flux density integrated over pixel area and measurement time. Since photon flux density equals number density multiplied…

量子物理 · 物理学 2015-05-19 Margaret Hawton

Given a real-valued phase-space function, it is a nontrivial task to determine whether it corresponds to a Wigner distribution for a physically acceptable quantum state. This topic has been of fundamental interest for long, and in a modern…

量子物理 · 物理学 2009-11-13 Hyunchul Nha

The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of…

量子物理 · 物理学 2007-05-23 William K. Wootters , Daniel M. Sussman

Using cavity-enhanced non-degenerate parametric downconversion, we have built a frequency tunable source of heralded single photons with a narrow bandwidth of 8 MHz, making it compatible with atomic quantum memories. The photon state is 70%…

The introduction of phase coherence in the detection of quantum noise of light yields a pure quantum measurement of spectral modes. We theoretically show that such coherent quantum measurement performed with the technique of resonator…

In this article, we introduce a framework for entanglement quantification of photon pairs represented by two-qubit Werner states. The measurement scheme is based on the symmetric informationally complete POVM. To make the framework…

量子物理 · 物理学 2021-06-22 Artur Czerwinski

Propagating modes of light with negative-valued Wigner distributions are of fundamental interest in quantum optics and represent a key resource in the pursuit of optics-based quantum information technologies. Most schemes proposed or…

量子物理 · 物理学 2025-09-05 Miriam. J. Leonhardt , Scott Parkins

The Wigner function formalism has been applied to the analysis of elastic scattering processes. The new element of known formalism is the choice of the phase space on which the Wigner function is defined. This phase space is 4-dimensional…

高能物理 - 唯象学 · 物理学 2010-08-09 I. Perevalova , M. Polyakov , O. Soldatenko , A. Vall

In this work we study the Wigner functions, which are the quantum analogues of the classical phase space density, and show how a full rigorous semiclassical scheme for all orders of \hbar can be constructed for them without referring to the…

混沌动力学 · 物理学 2009-11-07 Gregor Veble , Marko Robnik , Valery Romanovski