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Non-Gaussianity inducing operations are studied in the recent past from different perspectives. Here, we study the role of photon addition, a non-Gaussianity inducing operation, in the enhancement of nonclassicality in a finite dimensional…

Quantum Physics · Physics 2022-06-10 Priya Malpani , Kishore Thapliyal , Anirban Pathak

The differential structure of operator bases used in various forms of the Weyl-Wigner-Groenewold-Moyal (WWGM) quantization is analyzed and a derivative-based approach, alternative to the conventional integral-based one is developed. Thus…

Quantum Physics · Physics 2009-10-30 T. Dereli , A. Vercin

The characterization of quantum features in large Hilbert spaces is a crucial requirement for testing quantum protocols. In the continuous variables encoding, quantum homodyne tomography requires an amount of measurements that increases…

Quantum Physics · Physics 2020-10-29 Valeria Cimini , Marco Barbieri , Nicolas Treps , Mattia Walschaers , Valentina Parigi

The addition or subtraction of a photon from a Gaussian state of light is a versatile and experimentally feasible procedure to create non-Gaussian states. In multimode setups, these states manifest a wide range of phenomena when the photon…

Quantum Physics · Physics 2017-11-16 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

Einstein-Podolsky-Rosen (EPR) steering describes how different ensembles of quantum states can be remotely prepared by measuring one particle of an entangled pair. Here, we investigate quantum steering for single quantum d-dimensional…

Quantum Physics · Physics 2015-12-10 Che-Ming Li , Yueh-Nan Chen , Neill Lambert , Ching-Yi Chiu , Franco Nori

Multimode photon-subtraction provides an experimentally feasible option to construct large non-Gaussian quantum states in continuous-variable quantum optics. The non-Gaussian features of the state can lead towards the more exotic aspects of…

Quantum Physics · Physics 2019-08-28 Mattia Walschaers , Young-Sik Ra , Nicolas Treps

We propose a new Wigner inequality suitable for test of the hypothesis of realism. We show that this inequality is not identical neither to the well-known Wigner inequality nor to the Leggett-Garg inequality in Wigner form. The obtained…

Quantum Physics · Physics 2019-12-18 N. Nikitin , K. Toms

In circuit and cavity quantum electrodynamics devices where control qubits are dispersively coupled to high-quality-factor cavities, characteristic functions of cavity states can be directly probed with conditional displacement (CD) gates.…

Quantum Physics · Physics 2024-07-31 Lin Htoo Zaw

Einstein-Podolsky-Rosen (EPR) steering describes the ability of one observer to nonlocally "steer" the other observer's state through local measurements. It exhibits a unique asymmetric property, i.e., the steerability of one observer to…

Even though Gaussian quantum states of multimode light are promising quantum resources due to their scalability, non-Gaussianity is indispensable for quantum technologies, in particular to reach quantum computational advantage. However,…

In the last few years, several criteria to identify Eistein-Podolski-Rosen steering have been proposed and experimentally implemented. On the operational side, however, the evaluation of the steerability degree of a given state has shown to…

Quantum Physics · Physics 2016-03-09 A. C. S. Costa , R. M. Angelo

Protocols for testing or exploiting quantum correlations-such as entanglement, Bell nonlocality, and Einstein-Podolsky-Rosen steering- generally assume a common reference frame between two parties. Establishing such a frame is…

Quantum Physics · Physics 2018-09-12 Sabine Wollmann , Michael J. W. Hall , Raj B. Patel , Howard M. Wiseman , Geoff J. Pryde

We study the Wigner function for the inflationary tensor perturbation defined in the real phase space. We compute explicitly the Wigner function including the contributions from the cubic self-interaction Hamiltonian of tensor…

High Energy Physics - Theory · Physics 2021-05-19 Jinn-Ouk Gong , Min-Seok Seo

Einstein-Podolsky-Rosen (EPR) steering demonstrates that two parties share entanglement even if the measurement devices of one party are untrusted. Here, going beyond this bipartite concept, we develop a novel formalism to explore a large…

Quantum Physics · Physics 2015-07-02 Che-Ming Li , Kai Chen , Yueh-Nan Chen , Qiang Zhang , Yu-Ao Chen , Jian-Wei Pan

Density matrices and Discrete Wigner Functions are equally valid representations of multiqubit quantum states. For density matrices, the partial trace operation is used to obtain the quantum state of subsystems, but an analogous…

Quantum Physics · Physics 2017-12-08 K. Srinivasan , G. Raghavan

We have implemented the linear response approximation of a method proposed to compute the electron transport through correlated molecules based on the time-independent Wigner function [P. Delaney and J. C. Greer, \prl {\bf 93}, 36805…

Other Condensed Matter · Physics 2008-10-07 Ioan Baldea , Horst Koeppel

Certification and quantification of correlations for multipartite states of quantum systems appear to be a central task in quantum information theory. We give here a unitary quantum-mechanical perspective of both entanglement and…

Quantum Physics · Physics 2021-07-05 Paulina Marian , Tudor A. Marian

Einstein-Podolsky-Rosen steering is a kind of powerful nonlocal quantum resource in quantum information processing such as quantum cryptography and quantum communication. Many criteria have been proposed in the past few years to detect…

Quantum Physics · Physics 2022-09-16 Zhihua Chen , Shao-Ming Fei

The analysis of parametric and non-parametric uncertainties of very large dynamical systems requires the construction of a stochastic model of said system. Linear approaches relying on random matrix theory and principal componant analysis…

Machine Learning · Statistics 2023-02-02 Hamza Boukraichi , Nissrine Akkari , Fabien Casenave , David Ryckelynck

The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is…

Quantum Physics · Physics 2009-11-10 Constantin V. Usenko
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