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We investigate localization of entanglement of multimode Gaussian states into a pair of modes by local Gaussian measurements on the remaining modes and classical communication. We find that for pure states and for mixed symmetric states…

量子物理 · 物理学 2009-11-13 Jaromir Fiurasek , Ladislav Mista

Several quantum hardware platforms, while being unable to perform fully fault-tolerant quantum computation, can still be operated as analogue quantum simulators for addressing many-body problems. However, due to the presence of errors, it…

量子物理 · 物理学 2023-12-22 Rahul Trivedi , Adrian Franco Rubio , J. Ignacio Cirac

Gaussian quantum states and channels are pivotal across many branches of quantum science and their applications, including the processing and storage of quantum information, the investigation of thermodynamics in the quantum regime, and…

量子物理 · 物理学 2025-11-18 Alice P. G. Hall , Carlos H. S. Vieira , Jonas F. G. Santos

The resource-theoretic frameworks for quantum imaginarity have been developed in recent years. Within these frameworks, many imaginarity measures for finite-dimensional systems have been proposed. However, for imaginarity of Gaussian states…

量子物理 · 物理学 2025-04-14 Ting Zhang , Jinchuan Hou , Xiaofei Qi

We discuss a notion of quantum critical exponents in open quantum many-body systems driven by quantum noise. We show that in translationally invariant quantum lattice models undergoing quasi-local Markovian dissipative processes, mixed…

量子物理 · 物理学 2010-12-23 J. Eisert , T. Prosen

Quantum illumination is to discern the presence or absence of a low reflectivity target, where the error probability decays exponentially in the number of copies used. When the target reflectivity is small so that it is hard to distinguish…

量子物理 · 物理学 2023-07-10 Dong Hwan Kim , Yonggi Jo , Duk Y. Kim , Taek Jeong , Jihwan Kim , Nam Hun Park , Zaeill Kim , Su-Yong Lee

Detecting when a quantum state leaves the efficiently simulable fermionic Gaussian regime is a central task for benchmarking quantum devices and certifying fermionic magic resources. We develop practical tests and witnesses based on…

量子物理 · 物理学 2026-05-27 Tobias Haug , Xhek Turkeshi , Piotr Sierant

We introduce quantum procedures for making $\cal G$-invariant the dynamics of an arbitrary quantum system S, where $\cal G$ is a finite group acting on the space state of S. Several applications of this idea are discussed. In particular…

量子物理 · 物理学 2009-10-31 Paolo Zanardi

A Gaussian quantum theory of bosonic modes has been widely used to describe quantum optical systems, including coherent Ising machines (CIMs) that consist of $\chi^{(2)}$ degenerate optical parametric oscillators (DOPOs) as nonlinear…

量子物理 · 物理学 2024-03-04 Yoshitaka Inui , Edwin Ng , Yoshihisa Yamamoto

We present a quantum algorithm for efficiently sampling transformed Gaussian random fields on $d$-dimensional domains, based on an enhanced version of the classical moving average method. Pointwise transformations enforcing boundedness are…

量子物理 · 物理学 2025-08-20 Matthias Deiml , Daniel Peterseim

Multipartite quantum correlations, in spite of years of intensive research, still leave many questions unanswered. While bipartite entanglement is relatively well understood for Gaussian states, the complexity of mere qualitative…

量子物理 · 物理学 2014-05-01 Ondřej Černotík , Jaromír Fiurášek

We provide theory, algorithms, and simulations of non-equilibrium quantum systems using a one-dimensional (1D) completely-positive (CP), matrix-product (MP) density-operator ($\rho$) representation. By generalizing the matrix product…

量子物理 · 物理学 2025-09-16 Amit Jamadagni , Eugene Dumitrescu

Non-Gaussian correlations in a pure state are inextricably linked with non-classical features, such as a non positive-definite Wigner function. In a commonly used simulation technique in ultracold atoms and quantum optics, known as the…

量子物理 · 物理学 2015-03-05 J. F. Corney , M. K. Olsen

This document is meant to be a practical introduction to the analytical and numerical manipulation of Fermionic Gaussian systems. Starting from the basics, we move to relevant modern results and techniques, presenting numerical examples and…

量子物理 · 物理学 2022-05-18 Jacopo Surace , Luca Tagliacozzo

In this work we first collect and generalize several existing non-perturbative models for the interaction between a single two-level qubit detector and a relativistic quantum scalar field in arbitrary curved spacetimes, where the time…

量子物理 · 物理学 2023-08-16 Erickson Tjoa

We investigate the connection between quasi-classical (pointer) states and generalized coherent states (GCSs) within an algebraic approach to Markovian quantum systems (including bosons, spins, and fermions). We establish conditions for the…

量子物理 · 物理学 2008-01-23 Sergio Boixo , Lorenza Viola , Gerardo Ortiz

The manifold of pure quantum states is a complex projective space endowed with the unitary-invariant geometry of Fubini and Study. According to the principles of geometric quantum mechanics, the detailed physical characteristics of a given…

量子物理 · 物理学 2015-06-26 Dorje C. Brody , Lane P. Hughston

We present a geometric approach to the characterization of separability and entanglement in pure Gaussian states of an arbitrary number of modes. The analysis is performed adapting to continuous variables a formalism based on single…

量子物理 · 物理学 2007-10-28 Gerardo Adesso , Salvatore M. Giampaolo , Fabrizio Illuminati

Local gauge symmetries reduce to the identity on the observables, as well as on the physical states (apart from reflexes of the local gauge group topology) and therefore their use in Quantum Field Theory (QFT) asks for a justification of…

高能物理 - 理论 · 物理学 2023-09-27 Franco Strocchi

Quantum non-Gaussianity is a key resource for quantum advantage in continuous-variable systems. We introduce a general framework to quantify non-Gaussianity based on correlation generation: two copies of a state become correlated at a…

量子物理 · 物理学 2025-08-28 Oliver Hahn , Ryuji Takagi