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We introduce a novel reservoir engineering approach for stabilizing multi-component Schr\"odinger's cat manifolds. The fundamental principle of the method lies in the destructive interference at crossings of gain and loss Hamiltonian terms…

Quantum Physics · Physics 2026-03-17 Ivan Rojkov , Matteo Simoni , Elias Zapusek , Florentin Reiter , Jonathan Home

Einstein-Podolsky-Rosen (EPR) steering allows two parties to verify their entanglement, even if one party's measurements are untrusted. This concept has not only provided new insights into the nature of non-local spatial correlations in…

Quantum Physics · Physics 2016-07-14 Ching-Yi Chiu , Neill Lambert , Teh-Lu Liao , Franco Nori , Che-Ming Li

The quantum geometric tensor (QGT) characterizes the local geometry of quantum states, and its components directly account for the dynamical effects observed, e.g., in condensed matter systems. In this work, we address the problem of…

Mesoscale and Nanoscale Physics · Physics 2025-02-18 Y. -M. Robin Hu , Elena A. Ostrovskaya , Eliezer Estrecho

Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of geometrical features preferentially selected in the space of pure states. Geometric characterisations are given here for systems of one, two,…

Quantum Physics · Physics 2007-06-13 Dorje C. Brody , Anna C. T. Gustavsson , Lane P. Hughston

We study the noncommutative geometrical structures of quantum entangled states. We show that the space of a pure entangled state is a noncommutative space. In particular we show that by rewritten the conifold or the Segre variety we can get…

Quantum Physics · Physics 2015-05-19 Hoshang Heydari

In quantum mechanics, geometry has been demonstrated as a useful tool for inferring non-classical behaviors and exotic properties of quantum systems. One standard approach to illustrate the geometry of quantum systems is to project the…

A primary requirement for a robust and unconditionally secure quantum network is the establishment of quantum nonlocal correlations over a realistic channel. While loophole-free tests of Bell nonlocality allow for entanglement certification…

We study the paradigmatic model of a qubit interacting with a structured environment and driven by an external field by means of a microscopic and a phenomenological model. The validity of the so-called fixed-dissipator (FD) assumption,…

Quantum Physics · Physics 2020-01-29 Gian Luca Giorgi , Astghik Saharyan , Stéphane Guérin , Dominique Sugny , Bruno Bellomo

Steering is a type of nonseparable quantum correlation, where its inherent asymmetric feature makes it distinct from Bell-nonlocality and entanglement. In this paper, we investigate quantum steering in a two-mode Gaussian state $%…

Quantum Physics · Physics 2023-12-11 Benachir Boukhris , Ahmed Tirbiyine , Jamal El Qars

We propose a unifying phase-space approach to the construction of mutually unbiased bases for a two-qubit system. It is based on an explicit classification of the geometrical structures compatible with the notion of unbiasedness. These…

Quantum Physics · Physics 2007-06-19 A. B. Klimov , J. L. Romero , G. Bjork , L. L. Sanchez-Soto

The reservoir memory effects can lead to information backflow and recurrence of the previously lost quantum correlations. We establish connections between the direction of information flow and variation of the geometric quantum discords…

Quantum Physics · Physics 2015-12-25 Ming-Liang Hu , Han-Li Lian

Quantum State Sharing (QSS) is a protocol by which a (secret) quantum state may be securely split, shared between multiple potentially dishonest players, and reconstructed. Crucially the players are each assumed to be dishonest, and so QSS…

Quantum Physics · Physics 2023-06-05 Cailean Wilkinson , Matthew Thornton , Natalia Korolkova

Quantum steering is an asymmetric correlation which occupies a place between entanglement and Bell nonlocality. In the paradigmatic scenario involving the protagonists Alice and Bob, the entangled state shared between them, is said to be…

Quantum Physics · Physics 2023-03-14 Komal Kumar , Nirman Ganguly

The phenomenon of quantum steering in bipartite quantum systems can be reduced to the question whether or not the first party can perform measurements such that the conditional states on the second party can be explained by a local hidden…

Quantum Physics · Physics 2020-05-06 H. Chau Nguyen , Otfried Gühne

Quantum steering is an asymmetric form of quantum nonlocality where one can detect whether a measurement on one system can steer or change another distant system. It is well-known that there are quantum states that are entangled but…

Quantum Physics · Physics 2026-04-03 Shubhayan Sarkar

The non-Markovian dynamics of a three-level quantum system coupled to a bosonic environment is a difficult problem due to the lack of an exact dynamic equation such as a master equation. We present for the first time an exact quantum…

Quantum Physics · Physics 2010-12-27 Jun Jing , Ting Yu

Steering is a type of quantum nonlocality that exhibits an inherent asymmetry between two observers. In a nondegenerate three-level laser coupled to a two-mode squeezed vacuum reservoir, we examine, under realistic experimental conditions,…

Quantum Physics · Physics 2023-12-08 Jamal El Qars

We propose a geometric model predictive control framework for quantum systems subject to smoothness and state constraints. By formulating quantum state evolution intrinsically on the projective Hilbert space, we penalize covariant…

Mathematical Physics · Physics 2026-02-10 Leonardo Colombo

Quantum steering is a relatively simple test for quantumness of correlations, proving that the values of quantum-mechanical measurement outcomes come into being only in the act of measurement. By exploiting quantum correlations Alice can…

Quantum Physics · Physics 2017-01-18 Adam Rutkowski , Adam Buraczewski , Paweł Horodecki , Magdalena Stobińska

Quantum steering is a form of quantum correlation that exhibits an inherent asymmetry, distinguishing it from entanglement and Bell nonlocality. It is now understood that quantum steering plays a pivotal role in asymmetric quantum…

Quantum Physics · Physics 2025-05-28 Jamal El Qars , Ismail Essaoudi , Abdelmajid Ainane
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