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We present an experimental realisation of the direct scheme for measuring the Wigner function of a single quantized light mode. In this method, the Wigner function is determined as the expectation value of the photon number parity operator…

Quantum Physics · Physics 2007-05-23 K. Banaszek , C. Radzewicz , K. Wodkiewicz , J. S. Krasinski

We propose a very simple experimental setup to measure, via photon counting, the overlap of the Wigner functions characterizing two single mode light beams. We show that this scheme can be applied to determine directly the phase space…

atom-ph · Physics 2009-10-28 Konrad Banaszek , Krzysztof Wodkiewicz

In this thesis we present a direct scheme for measuring quasidistribution functions of light. This scheme, based on photon counting, is derived from a simple relation linking the Wigner function with photon statistics. We develop a full…

Quantum Physics · Physics 2007-05-23 Konrad Banaszek

The recently proposed scheme for direct sampling of the quantum phase space by photon counting is discussed within the Wigner function formalism.

Quantum Physics · Physics 2007-05-23 Konrad Banaszek , Krzysztof Wodkiewicz

We present the reconstruction of the Wigner function of some classical pulsed optical states obtained by direct measurement of the detected-photon probability distributions of the state displaced by a coherent field. We use a photodetector…

Quantum Physics · Physics 2015-05-13 Maria Bondani , Alessia Allevi , Alessandra Andreoni

Photon-number-revolving (PNR) detection allows the direct measurement of the Wigner quasiprobability distribution of an optical mode without the need for numerically processing an inverse Radon transform [K. Banaszek and K. W\'odkiewicz,…

The Hong-Ou-Mandel (HOM) experiment was a benchmark in quantum optics, evidencing the quantum nature of the photon. In order to go deeper, and obtain the complete information about the quantum state of a system, for instance, composed by…

We propose a scheme to measure the quantum state of photons in a cavity. The proposal is based on the concept of quantum weak values and applies equally well to both the solid-state circuit and atomic cavity quantum electrodynamics (QED)…

Quantum Physics · Physics 2019-04-24 Lupei Qin , Zhong Wang , Cheng Zhang , Xin-Qi Li

We exploit geometric properties of quantum states of light in optical cavities to carry out quantum non-demolition measurements. We generalize the 'mode invisibility' method to obtain information about the Wigner function of a squeezed…

Quantum Physics · Physics 2014-10-22 Marvellous Onuma-Kalu , Robert B. Mann , Eduardo Martin-Martinez

We investigate the capabilities of loss-tolerant quantum state characterization using a photon-number resolving, time-multiplexed detector (TMD). We employ the idea of probing the Wigner function point-by-point in phase space via photon…

Quantum Physics · Physics 2009-11-13 K Laiho , M Avenhaus , K N Cassemiro , Ch Silberhorn

We present a scheme that uses Ramsey interferometry to directly probe the Wigner function of a neutral atom confined in an optical trap. The proposed scheme relies on the well-established fact that the Wigner function at a given point…

We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples,…

Quantum Physics · Physics 2009-11-07 Cesar Miquel , Juan Pablo Paz , Marcos Saraceno

We demonstrate experimentally a novel technique for characterizing transverse spatial coherence using the Wigner distribution function. The presented method is based on measuring interference between a pair of rotated and displaced replicas…

Quantum Physics · Physics 2009-11-10 Eran Mukamel , Konrad Banaszek , Ian A. Walmsley , Christophe Dorrer

We investigate quantum properties of pulsed light fields point by point in phase space. We probe the negative region of the Wigner function of a single photon generated by the means of waveguided parametric down-conversion. This capability…

Quantum Physics · Physics 2010-12-24 Kaisa Laiho , Katiuscia N. Cassemiro , David Gross , Christine Silberhorn

It has recently been shown that it is possible to represent the complete quantum state of any system as a phase-space quasi-probability distribution (Wigner function) [Phys Rev Lett 117, 180401]. Such functions take the form of expectation…

Quantum Physics · Physics 2017-08-16 R. P. Rundle , P. W. Mills , Todd Tilma , J. H. Samson , M. J. Everitt

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.…

Quantum Physics · Physics 2009-11-07 Juan Pablo Paz

Wigner function tomography is indispensable for characterizing quantum states, but its commonly used version, balanced homodyne detection, suffers from several weaknesses. First, it requires efficient detection, which is critical for…

Quantum Physics · Physics 2023-08-25 Mahmoud Kalash , Maria V. Chekhova

Most methods for experimentally reconstructing the quantum state of light involve determining a quasiprobability distribution such as the Wigner function. In this paper we present a scheme for measuring individual density matrix elements in…

Quantum Physics · Physics 2009-11-07 K. L. Pregnell , D. T. Pegg

This dissertation serves as a general introduction to Wigner functions, phase space, and quantum metrology but also strives to be useful as a how-to guide for those who wish to delve into the realm of using continuous variables, to describe…

Quantum Physics · Physics 2016-05-05 Bryan Gard

In quantum mechanics, the Wigner function $\rho_W(\textbf{r},\textbf{p})$ serves as a phase-space representation, capturing information about both the position $\textbf{r}$ and momentum $\textbf{p}$ of a quantum system. The Wigner function…

Quantum Physics · Physics 2024-03-20 Reiko Yamada , Antoine Reserbat-Plantey , Eloy Piñol , Maciej Lewenstein
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