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Negativity of the Wigner function is seen as a crucial resource for reaching a quantum computational advantage with continuous variable systems. However, these systems, while they allow for the deterministic generation of large entangle…

Quantum Physics · Physics 2020-04-17 Mattia Walschaers , Nicolas Treps

Non-Gaussian states with Wigner negativity are of particular interest in quantum technology due to their potential applications in quantum computing and quantum metrology. However, how to create such states at a remote location remains a…

Quantum correlations and Wigner negativity are two important signatures of nonclassicality in continuous-variable quantum systems. In this work, we investigate how both are intertwined in the context of the conditional generation of Wigner…

Quantum Physics · Physics 2023-06-07 Mattia Walschaers

Multipartite Einstein-Podolsky-Rosen (EPR) steering and multimode quantum squeezing are essential resources for various quantum applications. The paper focuses on studying a coupled three-mode squeezed vacuum (C3MSV), which is a typical…

Quantum Physics · Physics 2023-08-02 Zi-wei Zhan , Bo Lan , Jian Wang , Xue-xiang Xu

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

A standard method to obtain information on a quantum state is to measure marginal distributions along many different axes in phase space, which forms a basis of quantum state tomography. We theoretically propose and experimentally…

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…

Quantum Physics · Physics 2025-09-05 Miriam. J. Leonhardt , Scott Parkins

Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns…

Quantum Physics · Physics 2015-02-13 Ioannis Kogias , Antony R. Lee , Sammy Ragy , Gerardo Adesso

In a numerical study, we investigate the steady-state generation of nonclassical states of light from a coherently driven two-level atom in a one-dimensional waveguide. Specifically, we look for states with a negative Wigner function, since…

Quantum Physics · Physics 2019-12-06 Ingrid Strandberg , Yong Lu , Fernando Quijandría , Göran Johansson

Einstein-Podolsky-Rosen steering is a quantum phenomenon wherein one party influences, or steers, the state of a distant party's particle beyond what could be achieved with a separable state, by making measurements on one half of an…

The negativity of a given state's Wigner function has been proposed as a measure of quantumness of that state in a unipartite system. This otherwise physically intuitive and useful phase-space measure however does not yield the right…

Quantum Physics · Physics 2008-11-19 Tyler E Keating , Adam T. C. Steege , Arjendu K. Pattanayak

The negativity of the discrete Wigner functions (DWFs) is a measure of non-classicality and is often used to quantify the degree of quantum coherence in a system. The study of Wigner negativity and its evolution under different quantum…

Quantum Physics · Physics 2025-09-03 Jai Lalita , K. G. Paulson , Subhashish Banerjee

Wigner negativity and genuine multipartite entanglement (GME) are key nonclassical resources that enable computational advantages and broader quantum-information tasks. In this work, we prove two theorems for multimode continuous-variable…

Quantum Physics · Physics 2025-10-31 Lin Htoo Zaw , Jiajie Guo , Qiongyi He , Matteo Fadel , Shuheng Liu

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

We analyze two two-mode continuous variable separable states with the same marginal states. We adopt the definition of classicality in the form of well-defined positive Wigner function describing the state and find that although the states…

Quantum Physics · Physics 2016-04-07 Razieh Taghiabadi , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

Non-Gaussian quantum states of mechanical motion exhibiting Wigner negativity offer promising capabilities for quantum technologies and tests of fundamental physics. Within the field of cavity quantum optomechanics, deterministic…

Quantum Physics · Physics 2025-08-20 Jack Clarke , Pascal Neveu , Ewold Verhagen , Michael R. Vanner

Within the hierarchy of inseparable quantum correlations, Einstein-Podolsky-Rosen steering is distinguished from both entanglement and Bell nonlocality by its asymmetry -- there exist conditions where the steering phenomenon changes from…

Quantum Physics · Physics 2016-04-27 Sabine Wollmann , Nathan Walk , Adam J. Bennet , Howard M. Wiseman , G. J. Pryde

Given a choice of an ordered, orthonormal basis for a $D$-dimensional Hilbert space, one can define a discrete version of the Wigner function -- a quasi-probability distribution which represents any quantum state as a real, normalized…

High Energy Physics - Theory · Physics 2025-12-18 Ritam Basu , Pratyusha Chowdhury , Anirban Ganguly , Souparna Nath , Onkar Parrikar , Suprakash Paul

Understanding how quantum resources can be quantified and distributed over many parties has profound applications in quantum communication. As one of the most intriguing features of quantum mechanics, Einstein-Podolsky-Rosen (EPR) steering…

Quantum steering, also called Einstein-Podolsky-Rosen steering, is the intriguing phenomenon associated with the ability of spatially separated observers to steer---by means of local measurements---the set of conditional quantum states…

Quantum Physics · Physics 2017-01-03 Chung-Yun Hsieh , Yeong-Cherng Liang , Ray-Kuang Lee
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