Results 41 to 50 of about 10,743 (170)
Metric Entropy of Homogeneous Spaces
, 1997 For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
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Zhejiang Daxue xuebao. Lixue ban, 2002 典则相关变量的优良性质可以用一些极值来描述.在酉不变模意义下,得出了典则相关变量的一个极大值定理和一个极小值定理.其结果说明典则相关变量在更一般意义下具有最优性质.
ZHANGGuo-fen(张帼奋) +1 more
doaj +1 more source
Continuity bounds on the quantum relative entropy
, 2005 The quantum relative entropy is frequently used as a distance, or distinguishability measure between two quantum states. In this paper we study the relation between this measure and a number of other measures used for that purpose, including the trace ...
Bratteli O. +4 more
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Catalytic majorization and $\ell_p$ norms [PDF]
, 2007 An important problem in quantum information theory is the mathematical characterization of the phenomenon of quantum catalysis: when can the surrounding entanglement be used to perform transformations of a jointly held quantum state under LOCC (local ...
Aubrun, Guillaume, Nechita, Ion
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Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source
Low-Rank Inducing Norms with Optimality Interpretations
, 2018 Optimization problems with rank constraints appear in many diverse fields such as control, machine learning and image analysis. Since the rank constraint is non-convex, these problems are often approximately solved via convex relaxations.
Giselsson, Pontus, Grussler, Christian
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Some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2012 This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh (Linear Algebra Appl. 308 (2000) 203-211).
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Local Lidskii's theorems for unitarily invariant norms [PDF]
Linear Algebra and its Applications, 2018 arXiv admin note: text overlap with arXiv:1610 ...
Massey, Pedro Gustavo +2 more
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Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
wiley +1 more source