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In this work we provide a method to study the entanglement entropy for non-Gaussian states that minimize the energy functional of interacting quantum field theories at arbitrary coupling. To this end, we build a class of non-Gaussian…

High Energy Physics - Theory · Physics 2021-02-22 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

Spatially entangled twin photons provide a test of the Einstein-Podolsky-Rosen (EPR) paradox in its original form of position (image plane) versus impulsion (Fourier plane). We show that recording a single pair of images in each plane is…

Quantum Physics · Physics 2015-10-28 Eric Lantz , Séverine Denis , Paul-Antoine Moreau , Fabrice Devaux

Einstein-Podolsky-Rosen (EPR) steering, a generalization of the original concept of "steering" proposed by Schr\"{o}dinger, describes the ability of one system to nonlocally affect another system's states through local measurements. Some…

Quantum Physics · Physics 2015-11-06 Kai Sun , Jin-Shi Xu , Xiang-Jun Ye , Yu-Chun Wu , Chuan-Feng Li , Guang-Can Guo

Correlation functions and entanglement are two different aspects to characterize quantum many-body states. While many correlation functions are experimentally accessible, entanglement entropy (EE), the simplest characterization of quantum…

Strongly Correlated Electrons · Physics 2022-12-20 Zhiyuan Yao , Lei Pan , Shang Liu , Pengfei Zhang

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

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…

Entanglement detection is one of the most fundamental tasks in quantum information science, playing vital roles in theoretical studies and quantum system benchmarking. Researchers have proposed many powerful entanglement criteria with high…

Quantum Physics · Physics 2024-03-05 Zhenhuan Liu , Fuchuan Wei

In this somewhat pedagogical paper we revisit complementarity relations in bipartite quantum systems. Focusing on continuous variable systems, we examine the influential class of EPR-like states through a generalization to Gaussian states…

Quantum Physics · Physics 2020-01-27 Bar Y. Peled , Amit Te'eni , Danko Georgiev , Avishy Carmi , Eliahu Cohen

Bell nonlocality and Einstein-Podolsky-Rosen (EPR) steering are every important quantum correlations of a composite quantum system. Bell nonlocality of a bipartite state is a quantum correlation demonstrated by some local quantum…

Quantum Physics · Physics 2018-01-31 Huaixin Cao , Zhihua Guo

We demonstrate the principle of one-sided device-independent continuous variable (CV) quantum information. In situations of no trust, we show by enactment how the use of standard CV entanglement criteria can mislead Charlie into thinking…

Quantum Physics · Physics 2014-06-11 Bogdan Opanchuk , Ludovic Arnaud , Margaret D. Reid

We present analytic expressions for the coincidence detection probability amplitudes of photon pairs generated by spontaneous parametric down-conversion in both momentum and position spaces, without making use of the Gaussian approximation,…

Quantum Physics · Physics 2024-05-21 A. G. da Costa Moura , C. H. Monken

We develop criteria to detect three classes of nonlocality that have been shown by Wiseman et al. [Phys. Rev. Lett. 98, 140402 (2007)] to be nonequivalent: entanglement, EPR steering, and the failure of local hidden-variable theories. We…

Quantum Physics · Physics 2015-03-19 Q. Y. He , P. D. Drummond , M. D. Reid

In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous variable (CV) systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We…

Entanglement measures quantify nonclassical correlations present in a quantum system, but can be extremely difficult to calculate, even more so, when information on its state is limited. Here, we consider broad families of entanglement…

Quantum Physics · Physics 2021-07-07 Matteo Fadel , Ayaka Usui , Marcus Huber , Nicolai Friis , Giuseppe Vitagliano

The Einstein Podolsky Rosen (EPR) entangled quantum state is of special importance not only for fundamental research in quantum mechanics, but also for information processing in the field of quantum information. Previous EPR entangled state…

We formulate an infinite hierarchy of continuous-variable separability criteria in terms of quasiprobability distributions and their derivatives evaluated at individual points in phase space. Our approach is equivalent to the…

Quantum Physics · Physics 2026-02-26 Elena Callus , Martin Gärttner , Tobias Haas

Quantum mechanics allows for multiple predictions for the outcome of an EPR experiment. The correct calculation must be used, guided by the physical conditions of the experiment. The quantum joint prediction for EPR correlation is derived…

Quantum Physics · Physics 2017-04-06 Donald A. Graft

In this work, we examine the paradox proposed by Einstein, Podolsky, and Rosen (EPR). They argued that since one may know the exact momentum of a particle without measurement and subsequently measure its position, a contradiction with the…

Quantum Physics · Physics 2026-04-07 Henryk Gzyl

We show that quantum mechanics predicts an Einstein-Podolsky-Rosen paradox (EPR), and also a contradiction with local hidden variable theories, for photon number measurements which have limited resolving power, to the point of imposing an…

Quantum Physics · Physics 2007-05-23 M. D. Reid

The Franson interferometer, proposed in 1989 [J. D. Franson, Phys. Rev. Lett. 62:2205-2208 (1989)], beautifully shows the counter-intuitive nature of light. The quantum description predicts sinusoidal interference for specific outcomes of…

Quantum Physics · Physics 2015-04-14 Jonathan Jogenfors , Jan-Åke Larsson