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Determining whether a quantum state is separable or entangled is a problem of fundamental importance in quantum information science. This is a brief review in which we consider the problem for states in infinite dimensional Hilbert spaces.…

计算复杂性 · 计算机科学 2007-05-23 Stefano Mancini , Simone Severini

Large-scale quantum effects have always played an important role in the foundations of quantum theory. With recent experimental progress and the aspiration for quantum enhanced applications, the interest in macroscopic quantum effects has…

量子物理 · 物理学 2018-06-20 Florian Fröwis , Pavel Sekatski , Wolfgang Dür , Nicolas Gisin , Nicolas Sangouard

Quantum information is a useful resource to set up information processing. Despite physical components are normally two-level systems, their combination with entangling interactions becomes in a complex dynamics. Studied for piecewise field…

量子物理 · 物理学 2018-05-16 Francisco Delgado , Suset Rodriguez

Observables of quantum systems can posses either a discrete or a continuous spectrum. For example, upon measurements of the photon number of a light state, discrete outcomes will result whereas measurements of the light's quadrature…

量子物理 · 物理学 2010-08-23 Ulrik L. Andersen , Gerd Leuchs , Christine Silberhorn

The rise of quantum information science has opened up a new venue for applications of the geometric phase (GP), as well as triggered new insights into its physical, mathematical, and conceptual nature. Here, we review this development by…

量子物理 · 物理学 2015-10-08 Erik Sjöqvist

The theory of quantum states over time provides an approach to the dynamics of quantum information which is in direct analogy with spacetime and its relation to classical dynamics. In this work, we further such an analogy by formulating a…

量子物理 · 物理学 2023-11-02 James Fullwood

The time dependent quantum variational principle is emerging as an important means of studying quantum dynamics, particularly in early universe scenarios. To date all investigations have worked within a Gaussian framework. Here we present…

广义相对论与量子宇宙学 · 物理学 2010-01-06 Gareth J. Cheetham , E. J. Copeland

We investigate permutation-invariant continuous variable quantum states and their covariance matrices. We provide a complete characterization of the latter with respect to permutation-invariance, exchangeability and representing convex…

量子物理 · 物理学 2009-11-13 Robert Koenig , Michael M. Wolf

A framework for a quantum information theory is introduced that is based on the measure of quantum information associated with probability distribution predicted by quantum measuring of state. The entanglement between states of measured…

量子物理 · 物理学 2007-05-23 Yi-Xin Chen

The dynamics of a system, consisting of a particle initially in a Gaussian state interacting with a field mode, under the action of repeated measurements performed on the particle, is examined. It is shown that regardless of its initial…

量子物理 · 物理学 2010-10-26 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

Differential equations are important mechanistic models that are integral to many scientific and engineering applications. With the abundance of available data there has been a growing interest in data-driven physics-informed models.…

机器学习 · 计算机科学 2025-02-04 Oliver Hamelijnck , Arno Solin , Theodoros Damoulas

Quantum information is an emerging field which has attracted a lot of attention in the last fifteen years or so. It is a broad subject which covers from the most applied questions (e.g., how to build quantum computers or secure…

量子物理 · 物理学 2015-04-22 Carlos Navarrete-Benlloch

This review covers recent theoretical and experimental efforts to extend the application of the continuous-variable quantum technology of light beyond "Gaussian" quantum states, such as coherent and squeezed states, into the domain of…

The quantum systems with finite-dimensional Hilbert space have several applications and are intensively explored theoretically and experimentally. The mathematical description of these systems follows the analogy with the usual…

量子物理 · 物理学 2023-05-30 Nicolae Cotfas

This topical review introduces the theoretical and experimental advances in continuous-variable (CV) --- i.e., qumode-based in lieu of qubit-based --- large-scale, fault-tolerant quantum computing and quantum simulation. An introduction to…

量子物理 · 物理学 2020-01-08 Olivier Pfister

The unavoidable interaction of quantum systems with their environment usually results in the loss of desired quantum resources. Suitably chosen system Hamiltonians, however, can, to some extent, counteract such detrimental decay, giving…

量子物理 · 物理学 2018-10-03 Łukasz Rudnicki , Clemens Gneiting

Proofs of the quantum advantage available in imaging or detecting objects under quantum illumination can rely on optimal measurements without specifying what they are. We use the continuous-variable Gaussian quantum information formalism to…

量子物理 · 物理学 2021-03-04 Hao Yang , Wojciech Roga , Jonathan D. Pritchard , John Jeffers

Quantum Gaussian states can be considered as the majority of the practical quantum states used in quantum communications and more generally in quantum information. Here we consider their properties in relation with the geometrically uniform…

量子物理 · 物理学 2014-10-21 Gianfranco Cariolaro , Roberto Corvaja , Gianfranco Pierobon

We present a novel, non-parametric form for compactly representing entangled many-body quantum states, which we call a `Gaussian Process State'. In contrast to other approaches, we define this state explicitly in terms of a configurational…

强关联电子 · 物理学 2020-11-11 Aldo Glielmo , Yannic Rath , Gabor Csanyi , Alessandro De Vita , George H. Booth

We present a novel, detailed study on the usefulness of three-mode Gaussian states states for realistic processing of continuous-variable quantum information, with a particular emphasis on the possibilities opened up by their genuine…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati