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We present a framework to decompose real multivariate polynomials while preserving invariance and positivity. This framework has been recently introduced for tensor decompositions, in particular for quantum many-body systems. Here we…

数学物理 · 物理学 2024-08-08 Gemma De las Cuevas , Andreas Klingler , Tim Netzer

We develop the theory of compound functional differential equations, which are tensor and exterior products of linear functional differential equations. Of particular interest is the equation $\dot x(t)=-\alpha(t)x(t)-\beta(t)x(t-1)$ with a…

动力系统 · 数学 2015-06-11 John Mallet-Paret , Roger D. Nussbaum

Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite…

统计力学 · 物理学 2009-11-10 Michael Hartmann , Guenter Mahler , Ortwin Hess

Unitary control and decoherence appear to be irreconcilable in quantum mechanics. When a quantum system interacts with an environment, control strategies usually fail due to decoherence. In this letter, we propose a time-optimal unitary…

量子物理 · 物理学 2013-02-20 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

Optimal control theory is a powerful tool for improving figures of merit in quantum information tasks. Finding the solution to any optimal control problem via numerical optimization depends crucially on the choice of the optimization…

We investigate phase coherent electronic transport in an open quantum system, which consists of quantum dots side-coupled to a nanowire. It is demonstrated that coherent switching can be characterized by adjusting the electronic energy. A…

介观与纳米尺度物理 · 物理学 2009-11-13 Omar Valsson , Chi-Shung Tang , Vidar Gudmundsson

A heavy hole confined to an InGaAs quantum dot promises the union of a stable spin and optical coherence to form a near perfect, high-bandwidth spin-photon interface. Despite theoretical predictions and encouraging preliminary measurements,…

量子物理 · 物理学 2018-07-04 L. Huthmacher , R. Stockill , E. Clarke , M. Hugues , C. Le Gall , M. Atatüre

The best developed formulation of closed system quantum theory that handles multiple-time statements, is the consistent (or decoherent) histories approach. The most important weaknesses of the approach is that it gives rise to many…

量子物理 · 物理学 2014-10-14 Petros Wallden

Quantum coherence is a key element in topical research on quantum resource theories and a primary facilitator for design and implementation of quantum technologies. However, the resourcefulness of quantum coherence is severely restricted by…

量子物理 · 物理学 2015-06-01 Uttam Singh , Manabendra Nath Bera , Himadri Shekhar Dhar , Arun Kumar Pati

A popular model of decoherence based on the linear coupling to harmonic oscillator heat baths is analized and shown to be inappropriate in the regime where decoherence dominates over energy dissipation, called pure decoherence regime. The…

量子物理 · 物理学 2008-01-08 Robert Alicki

We show that quantum mechanical entanglement can prevail even in noisy open quantum systems at high temperature and far from thermodynamical equilibrium, despite the deteriorating effect of decoherence. The system consists of a number N of…

量子物理 · 物理学 2007-05-23 L. Hartmann , W. Dür , H. -J. Briegel

A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We present a theorem that describes the…

符号计算 · 计算机科学 2013-01-24 Shaoshi Chen , Ruyong Feng , Guofeng Fu , Ziming Li

We show that complete positivity is not only sufficient but also necessary for the validity of the quantum data-processing inequality. As a consequence, the reduced dynamics of a quantum system are completely positive, even in the presence…

量子物理 · 物理学 2014-10-07 Francesco Buscemi

Principle of information causality, proposed as a generalization of no signaling principle, has efficiently been applied to outcast beyond quantum correlations as unphysical. In this letter we show that this principle when utilized properly…

We study the decoherence of a coupled quantum system consisting of a central spin and its correlated environment described by a general $XY$ spin-chain model. We make it clear that the evolution of the coherence factor sensitively depends…

量子物理 · 物理学 2014-05-06 Zi-Gang Yuan , Ping Zhang , Shu-Shen Li

Environment-induced decoherence and superselection have been a subject of intensive research over the past two decades, yet their implications for the foundational problems of quantum mechanics, most notably the quantum measurement problem,…

量子物理 · 物理学 2008-11-26 Maximilian Schlosshauer

In this work, we construct different classes of coherent states related to a quantum system, recently studied in [1], of an electron moving in a plane in uniform external magnetic and electric fields which possesses both discrete and…

量子物理 · 物理学 2021-12-22 Isiaka Aremua , Laure Gouba

In this paper, we provide a mechanism of decoherence suppression for open quantum systems in general, and that for "Schrodinger cat-like" state in particular, through the strong couplings to non-Markovian reservoirs. Different from the…

量子物理 · 物理学 2015-06-03 Chan U. Lei , Wei-Min Zhang

We address the issue of coupling variables which are essentially classical to variables that are quantum. Two approaches are discussed. In the first (based on collaborative work with L.Di\'osi), continuous quantum measurement theory is used…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. J. Halliwell

This paper discusses the general structure of reflection positive Euclidean covariant distributions that can be used to construct Euclidean representations of relativistic quantum mechanical models of systems of a finite number of degrees…

高能物理 - 理论 · 物理学 2025-06-26 Gohin Shaikh Samad , W. N. Polyzou