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Coherent-state representations are a standard tool to deal with continuous-variable systems, as they allow one to efficiently visualize quantum states in phase space. Here, we work out an alternative basis consisting of monomials on the…

量子物理 · 物理学 2024-06-05 A. Z. Goldberg , A. B. Klimov , G. Leuchs , L. L. Sanchez-Soto

Gaussian bipartite states are basic tools for the realization of quantum information protocols with continuous variables. Their complete characterization is obtained by the reconstruction of the corresponding covariance matrix. Here we…

量子物理 · 物理学 2016-04-27 D. Buono , G. Nocerino , V. D'Auria , A. Porzio , S. Olivares , M. G. A. Paris

Quantum information is a common topic of research in many areas of quantum physics, such as quantum communication and quantum computation, as well as quantum thermodynamics. It can be encoded in discrete or continuous variable systems, with…

量子物理 · 物理学 2021-03-25 Jonas F. G. Santos , Carlos H. S. Vieira , Pedro R. Dieguez

We introduce a locally symplectic-invariant quantifier of correlations between two different arbitrary modes in bosonic Gaussian systems, denoted by $\mathcal{D}^{\mathrm{sym}}$. This quantity admits a simple geometric interpretation as an…

量子物理 · 物理学 2025-12-23 Ivan Agullo , Eduardo Martín-Martínez , Sergi Nadal-Gisbert , Koji Yamaguchi

We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric entanglement and how their entanglement…

量子物理 · 物理学 2010-07-01 J. Martin , O. Giraud , P. A. Braun , D. Braun , T. Bastin

Quantum technologies exploit entanglement to enhance various tasks beyond their classical limits including computation, communication and measurements. Quantum metrology aims to increase the precision of a measured quantity that is…

量子物理 · 物理学 2020-08-25 Bálint Koczor , Suguru Endo , Tyson Jones , Yuichiro Matsuzaki , Simon C. Benjamin

This paper provides a stabilizing preparation method for quantum Gaussian states by utilizing continuous measurement. The stochastic evolution of the open quantum system is described in terms of the quantum stochastic master equation. We…

量子物理 · 物理学 2021-09-28 Liying Bao , Bo Qi , Daoyi Dong

Physical Gottesman-Kitaev-Preskill (GKP) states are inherently noisy as ideal ones would require infinite energy. While this is typically considered as a deficiency to be actively corrected, this work demonstrates that imperfect GKP…

量子物理 · 物理学 2026-03-12 Fariba Hosseinynejad , Pavithran Iyer , Guillaume Dauphinais , David L. Feder

We investigate whether a generic multipartite pure state can be the unique asymptotic steady state of locality-constrained purely dissipative Markovian dynamics. In the simplest tripartite setting, we show that the problem is equivalent to…

量子物理 · 物理学 2018-04-04 Salini Karuvade , Peter D. Johnson , Francesco Ticozzi , Lorenza Viola

Linear canonical transformations of bosonic modes correspond to Gaussian unitaries, which comprise passive linear-optical transformations as effected by a multiport passive interferometer and active Bogoliubov transformations as effected by…

量子物理 · 物理学 2018-12-12 Levon Chakhmakhchyan , Nicolas J. Cerf

By using highly entangled states, quantum metrology guarantees precision impossible with classical measurements. Unfortunately such states can be very susceptible to noise, and it is a great challenge of the field to maintain quantum…

量子物理 · 物理学 2020-03-25 Nathan Shettell , Damian Markham

Generalized symmetries (also known as categorical symmetries) is a newly developing technique for studying quantum field theories. It has given us new insights into the structure of QFT and many new powerful tools that can be applied to the…

高能物理 - 唯象学 · 物理学 2023-06-06 T. Daniel Brennan , Sungwoo Hong

We study the geometric measure of entanglement (GM) of pure symmetric states related to rank-one positive-operator-valued measures (POVMs) and establish a general connection with quantum state estimation theory, especially the maximum…

量子物理 · 物理学 2011-01-17 Lin Chen , Huangjun Zhu , Tzu-Chieh Wei

The expansion of quantum states and operators in terms of Fock states plays a fundamental role in the field of continuous-variable quantum mechanics. In particular, for general single-mode Gaussian operators and Gaussian noisy states, many…

量子物理 · 物理学 2024-05-29 Gianfranco Cariolaro , Giuseppe Dattoli , Gianfranco Pierobon

We introduce a large class of holomorphic quantum states by choosing their normalization functions to be given by generalized hypergeometric functions. We call them generalized hypergeometric states in general, and generalized…

量子物理 · 物理学 2009-11-10 T. Appl , D. H. Schiller

The recently introduced Gaussian Process State (GPS) provides a highly flexible, compact and physically insightful representation of quantum many-body states based on ideas from the zoo of machine learning approaches. In this work, we give…

强关联电子 · 物理学 2020-10-05 Yannic Rath , Aldo Glielmo , George H. Booth

For a fixed average energy, the simultaneous estimation of multiple phases can provide a better total precision than estimating them individually. We show this for a multimode interferometer with a phase in each mode, using Gaussian inputs…

量子物理 · 物理学 2016-11-03 Christos N. Gagatsos , Dominic Branford , Animesh Datta

The study of Gaussian states has arisen to a privileged position in continuous variable quantum information in recent years. This is due to vehemently pursued experimental realisations and a magnificently elegant mathematical framework. In…

量子物理 · 物理学 2014-03-17 Gerardo Adesso , Sammy Ragy , Antony R. Lee

We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

This work introduces the Gaussian integration to address a smoothing problem of a nonlinear stochastic state space model. The probability densities of states at each time instant are assumed to be Gaussian, and their means and covariances…

信号处理 · 电气工程与系统科学 2025-01-14 Rohit Kumar Singh , Kundan Kumar , Shovan Bhaumik