In 1937, John von Neumann gave a theorem on the maximum of the real part of the trace of a matrix product Z 1 A 1 Z 2 A 2 where A 1 ,A 2 are fixed complex matrices and Z 1 ,Z 2 run independently over all unitary matrices. The theorem is extended to admit analogously tr Z ...
1) von Neumann theorem vonNeumann定理 2) Von Neumann law VonNeumann定律 3) von Neumann entropy vonNeumann熵 4) Von Neumann condition VonNeumann条件 1. It is concluded that the difference schema satisfying theVon Neumann conditionis a stable schema,and that,under the consistency condition,such sta...
We propose continuity bounds for the von Neumann entropy of qubits whose difference in purity is bounded. Considering the purity difference of two qubits to capture the notion of distance between them results into bounds which are demonstrably tighter than the trace distance-based existing continuity ...
Von Neumann's original proof of the ergodic theorem is revisited. A uniform convergence rate is established under the assumption that one can control the d... J Ben-Artzi,B Morisse - 《Ergodic Theory & Dynamical Systems》 被引量: 0发表: 2020年 Krein's trace theorem revisited We supply th...
Birkhoff鈥搗on Neumann (BvN) decomposition of doubly stochastic matrices expresses a double stochastic matrix as a convex combination of a number of permut... F Dufossé,B U?Ar - 《Linear Algebra & Its Applications》 被引量: 9发表: 2016年 The Birkhoff-von Neumann theorem for polystochastic ...
A supplement to the von Neumann trace inequality for singular values - Miranda, Thompson - 1994 () Citation Context ..., . . . , an) ∈ a+ to { diag(−a1, . . . , −an−1, an) if n is odd ωa = diag(−a1, . . . , −an) if n is even. Applying Theorem ...
We give a measurable selection theorem which generalizes von Neumann-Aumann's theorem when the domain of definition is an abstract measurable space and the range space is a Suslin space. As application we give a measurable implicit function theorem and a parametrized version of Choquet's theorem ...
We prove a "quantified" version of the Weyl–von Neumann theorem, more precisely, we estimate the ranks of approximants to compact operators appearing in Voiculescu's theorem applied to commutative algebras. This allows considerable simplifications in uniform K -homology theory, namely it shows that...
The Stone–von Neumann theorem is a uniqueness theorem for operators satisfying the canonical commutation relations. Suppose A and B are two self-adjoint operators on H satisfying $$[A,B] = i
In this paper, we study the Birkhoff-von Neumann theorem for a class of multistochastic tensors. In particular, we give a necessary and sufficient condition such that a multistochastic tensor is a convex combination of finitely many permutation tensors. It is well-known that extreme points in...