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Steering is a manifestation of quantum correlations that embodies the Einstein-Podolsky-Rosen (EPR) paradox. While there have been recent attempts to quantify steering, continuous variable systems remained elusive. We introduce a steering…

Quantum Physics · Physics 2015-03-11 Ioannis Kogias , Gerardo Adesso

The stochastic Schr\"odinger equation (SSE) provides a trajectory-level route to simulate the dynamics of open quantum systems with applications ranging from molecular processes to quantum technologies. We study a colored-noise extension of…

Quantum Physics · Physics 2026-01-22 Pietro De Checchi , Federico Gallina , Barbara Fresch , Giulio G. Giusteri

Recent experimental measurements of atomic intensity correlations through atom shot noise suggest that atomic quadrature phase correlations may soon be measured with a similar precision. We propose a test of local realism with mesoscopic…

Other Condensed Matter · Physics 2009-11-10 K. V. Kheruntsyan , M. K. Olsen , P. D. Drummond

This paper presents a detailed Lyapunov-based theory to control and stabilize continuously-measured quantum systems, which are driven by Stochastic Schrodinger Equation (SSE). Initially, equivalent classes of states of a quantum system are…

Quantum Physics · Physics 2021-03-04 Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

The quantum jump approach, where pairs of state vectors follow Stochastic Schroedinger Equation (SSE) in order to treat the exact quantum dynamics of two interacting systems, is first described. In this work the non-uniqueness of such…

Quantum Physics · Physics 2009-02-05 Denis Lacroix

The stochastic Schr\"odinger equation, of classical or quantum type, allows to describe open quantum systems under measurement in continuous time. In this paper we review the link between these two descriptions and we study the properties…

Quantum Physics · Physics 2013-09-03 Alberto Barchielli , Matteo Gregoratti

Starting from an experimentally feasible atomic setup, we derive a stochastic Schr\"{o}dinger equation that captures the homodyne detection record of a strongly interacting system. Applying the rotating wave approximation to the linear…

Quantum Physics · Physics 2026-03-25 Aniket Patra , Felix Motzoi , Klaus Mølmer

We identify the families of states that maximise some recently proposed quantifiers of Einstein-Podolsky-Rosen (EPR) steering and the volume of the Quantum Steering Ellipsoid (QSE). The optimal measurements which maximise genuine EPR…

Quantum Physics · Physics 2017-01-23 R. McCloskey , A. Ferraro , M. Paternostro

The Einstein-Podolsky-Rosen (EPR) paradox was presented as an argument that quantum mechanics is an incomplete description of physical reality. However, the premises on which the argument is based are falsifiable by Bell experiments. In…

Quantum Physics · Physics 2024-12-03 C. McGuigan , R. Y. Teh , P. D. Drummond , M. D Reid

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

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…

We show that there is essentially only one way to construct a stochastic Schrodinger equation that gives a dynamical account of the transformation of entangled into factorized states and is consistent both with quantum mechanics and…

Quantum Physics · Physics 2009-10-30 Daniel I. Fivel

Tests of the predictions of quantum mechanics for entangled systems have provided increasing evidence against local realistic theories. However, there still remains the crucial challenge of simultaneously closing all major loopholes - the…

Schr\"odinger equation with given, {\it a priori} known current is formulated. A non-zero current density is maintained in the quantum system via a subsidiary condition imposed by vector, local Lagrange multiplier. Constrained minimization…

Condensed Matter · Physics 2009-11-07 D. S. Kosov

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

We develop a stochastic Schr\"odinger equation (SSE) framework to simulate real-time dynamics of Anderson-Holstein (AH) impurities coupled to a continuous fermionic bath. The bath degrees of freedom are incorporated through fluctuating…

Quantum Physics · Physics 2024-08-13 Zhen Huang , Limin Xu , Zhennan Zhou

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system…

Statistical Mechanics · Physics 2016-10-17 Cyril Elouard , Alexia Auffèves , Maxime Clusel

Einstein-Podolsky-Rosen (EPR) steering describes the ability of one party to remotely affect another's state through local measurements. One of the most distinguishable properties of EPR steering is its asymmetric aspect. Steering can work…

Quantum Physics · Physics 2017-04-11 Ya Xiao , Xiang-Jun Ye , Kai Sun , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

Describing current in open quantum systems can be problematic due to the subtle interplay of quantum coherence and environmental noise. Probing the noise-induced current can be detrimental to the tunneling-induced current and vice versa. We…

Quantum Physics · Physics 2019-05-21 Karen V. Hovhannisyan , Alberto Imparato

Recently, both global and local classical randomness-assisted projective measurement protocols have been employed to share Bell nonlocality of an entangled state among multiple sequential parties. Unlike Bell nonlocality,…

Quantum Physics · Physics 2024-05-13 Yan-Xin Rong , Shuo Wang , Zhen-Fei Zhang , Yong-Jian Gu , Ya Xiao
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