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A power system unit commitment (UC) problem considering uncertainties of renewable energy sources is investigated in this paper, through a distributionally robust optimization approach. We assume that the first and second order moments of…

最优化与控制 · 数学 2020-11-17 Xiaodong Zheng , Haoyong Chen , Yan Xu , Zhengmao Li , Zhenjia Lin , Zipeng Liang

Multipartite quantum system is complex. Characterizing the relations among the three bipartite reduced density operators $\rho_{AB}$, $\rho_{AC}$ and $\rho_{BC}$ of a tripartite state $\rho_{ABC}$ has been an open problem in quantum…

量子物理 · 物理学 2025-10-29 Zhiwei Song , Lin Chen , Yize Sun , Mengyao Hu

Statistics of distinguishable particles has become relevant in systems of colloidal particles and in the context of applications of statistical mechanics to complex networks. When studying these type of systems with the standard textbook…

统计力学 · 物理学 2016-08-24 A. Fernandez-Peralta , Raul Toral

We formalize notions of robustness for composite estimators via the notion of a breakdown point. A composite estimator successively applies two (or more) estimators: on data decomposed into disjoint parts, it applies the first estimator on…

机器学习 · 计算机科学 2016-09-06 Pingfan Tang , Jeff M. Phillips

Separability for groups refers to the question which subsets of a group can be detected in its finite quotients. Classically, separability is studied in terms of which classes have a certain separability property, and this question is…

群论 · 数学 2022-02-01 Jonas Deré , Michal Ferov , Mark Pengitore

Representability determines when a two-particle reduced density matrix (2-RDM) corresponds to a physical quantum state, enabling many-particle quantum calculations with 2-RDMs rather than the wave function. In this Letter, we present a…

量子物理 · 物理学 2026-04-28 David A. Mazziotti

The separability detecting problem of mixed states is one of the fundamental problems in quantum information theory. In the last 20 years, almost all methods are based on the sufficient or necessary conditions for entanglement. However, in…

量子物理 · 物理学 2020-07-15 Ying Li , Guyan Ni

Bisimulation metric is a robust behavioural semantics for probabilistic processes. Given any SOS specification of probabilistic processes, we provide a method to compute for each operator of the language its respective metric…

编程语言 · 计算机科学 2014-08-08 Daniel Gebler , Simone Tini

In this paper, we discuss the partial separability and its criteria problems of multipartite qubit mixed-states. First we strictly define what is the partial separability of a multipartite qubit system. Next we give a reduction way from…

量子物理 · 物理学 2007-05-23 Zai-Zhe Zhong

We describe a purely algebraic method for finding the best separable approximation to a mixed state of a composite 2x2 quantum system, consisting of a decomposition of the state into a linear combination of a mixed separable part and a pure…

量子物理 · 物理学 2009-11-07 Thomas Wellens , Marek Kus

It is revealed that ensembles consisting of multipartite quantum states can exhibit different kinds of nonlocalities. An operational measure is introduced to quantify nonlocalities in ensembles consisting of bipartite quantum states.…

量子物理 · 物理学 2015-05-13 Ming-Yong Ye , Yan-Kui Bai , Xiu-Min Lin , Z. D. Wang

Quantum systems prepared in pure states evolve into mixtures under environmental action. Physically realizable ensembles are the pure state decompositions of those mixtures that can be generated in time through continuous measurements of…

量子物理 · 物理学 2011-02-16 Eduardo Mascarenhas , Daniel Cavalcanti , Vlatko Vedral , Marcelo Franca Santos

For any quantum state representing a physical system of identical particles, the density operator must satisfy the symmetrisation principle (SP) and for massive particles also conform to super-selection rules (SSR) that prohibit coherences…

量子物理 · 物理学 2015-07-01 Bryan Dalton. Libby Heaney , John Goold , Barry Garraway , Thomas Busch

Repeated measurements on a part of a bipartite system strongly affect the other part not measured, whose dynamics is regulated by an effective contracted evolution operator. When the spectrum of this operator is discrete, the latter system…

量子物理 · 物理学 2011-03-09 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

We study the quantum separability problem by using general symmetric informationally complete measurements and present separability criteria for both $d$-dimensional bipartite and multipartite systems. The criterion for bipartite quantum…

量子物理 · 物理学 2015-06-09 Bin Chen , Tao Li , Shao-Ming Fei

Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum…

量子物理 · 物理学 2020-02-04 Jingmei Chang , Meiyu Cui , Tinggui Zhang , Shao-Ming Fei

A general condition determining the optimal performance of a complex system has not yet been found and the possibility of its existence is unknown. To contribute in this direction, an optimization algorithm as a complex system is presented.…

计算复杂性 · 计算机科学 2007-05-23 Victor Korotkikh , Galina Korotkikh , Darryl Bond

We consider the discrimination of bipartite quantum states and establish a relation between nonlocal quantum state ensemble and quantum data hiding processing. Using a bound on optimal local discrimination of bipartite quantum states, we…

量子物理 · 物理学 2024-05-14 Donghoon Ha , Jeong San Kim

We consider the separability of rank two quantum states on multiple quantum spaces with different dimensions. The sufficient and necessary conditions for separability of these multiparty quantum states are explicitly presented. A…

量子物理 · 物理学 2007-05-23 Shao-Ming Fei , Xiu-Hong Gao , Xiao-Hong Wang , Zhi-Xi Wang , Ke Wu

We describe the representation of arbitrary density operators in terms of expectation values of simple projection operators. Two representations are presented which yield non--recursive schemes for experimentally determining the density…

量子物理 · 物理学 2009-10-28 Ole Steuernagel , John A. Vaccaro