Results 1 to 10 of about 30,222 (232)

1. School of Science， Chang'an University， Xi'an 710064， China； 2. Department of Mathematics， Nanjing University， Nanjing 210093， China； 3. Qingdao Innovation and Development Base of Harbin Engineering University， Qingdao 266000， Shandong Province， China）A note on commutative graphs(可交换图的一些注记)

Zhejiang Daxue xuebao. Lixue ban
Two simple graphs are commutative if there exists a labelling of their vertices such that their adjacency matrices can commute. This paper gives three necessary conditions ensuring the commutativity of certain graphs from Perron vectors, the number of ...
吴寒(WU Han), 刘奋进(LIU Fenjin), 尚凡琦(SHANG Fanqi), 周艳红(ZHOU Yanhong), 阮昊桐(RUAN Haotong)   +4 more
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Spatial decomposition of functionally commutative matrices

Linear Algebra and its Applications, 1990
AbstractLet I⊆R and D⊆C, where R and C are the fields of real and complex numbers, respectively. Let Cn×n be the space of square matrices of order n over C. A matrix-valued function F: I → Cn×n is said to be proper on I if F(t) = f(t, A), where AϵCn×n and f: I×D → C is a scalar function, and F is said to be semiproper on I if F(t)F(t) = F(τ)F(t) for ...
Zhu, J., Morales, C.H.
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Petz recovery from subsystems in conformal field theory

Journal of High Energy Physics
We probe the multipartite entanglement structure of the vacuum state of a CFT in 1+1 dimensions, using recovery operations that attempt to reconstruct the density matrix in some region from its reduced density matrices on smaller subregions.
Shreya Vardhan, Annie Y. Wei, Yijian Zou
doaj   +1 more source

Thoughts on Membranes, Matrices and Non-Commutativity

, 2004
We review the passage from the supermembrane to matrix theory via a consistent truncation following a non-commutative deformation in light-cone gauge. Some indications are given that there should exist a generalisation of non-commutativity involving a ...
Cederwall, Martin
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Boson Condensation in Topologically Ordered Quantum Liquids

, 2016
Boson condensation in topological quantum field theories (TQFT) has been previously investigated through the formalism of Frobenius algebras and the use of vertex lifting coefficients.
Bernevig, B. Andrei, He, Huan, Neupert, Titus, Sierra, Germán, von Keyserlingk, Curt   +4 more
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Commutative law for products of infinitely large isotropic random matrices

, 2013
Ensembles of isotropic random matrices are defined by the invariance of the probability measure under the left (and right) multiplication by an arbitrary unitary matrix.
Burda, Z., Livan, G., Swiech, A.
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A new approach to deformation equations of noncommutative KP hierarchies

, 2007
Partly inspired by Sato's theory of the Kadomtsev-Petviashvili (KP) hierarchy, we start with a quite general hierarchy of linear ordinary differential equations in a space of matrices and derive from it a matrix Riccati hierarchy.
Aristophanes Dimakis, Athorne C, Awata H, Błaszak M, Carroll R, Dickey L A, Dimakis A, Dimakis A, Dimakis A, Dimakis A, Dimakis A, Dimakis A Müller-Hoissen F, Dimakis A Müller-Hoissen F, Dimakis A Müller-Hoissen F Burdik Č Navrátil O Pošta S, Folkert Müller-Hoissen, Gawrylczyk J, Gessel I M, Hamanaka M, Hazewinkel M, Heck A, Hietarinta J, Lechtenfeld O, Macdonald I G, Reutenauer C, Sato M, Seiberg N, Strachan I, Vermaseren J A M, Wang N   +28 more
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Commutators and powers of infinite unitriangular matrices

Linear Algebra and its Applications, 2014
The group \(\mathrm{UT}(\infty,K)\) of infinite unitriangular matrices over a field \(K\) of characteristic \(\neq 2\) and its subgroups are studied. The verbal subgroups corresponding to certain words involving commutators are identified.
openaire   +1 more source

Integrable Fredholm Operators and Dual Isomonodromic Deformations

, 1997
The Fredholm determinants of a special class of integral operators K supported on the union of m curve segments in the complex plane are shown to be the tau-functions of an isomonodromic family of meromorphic covariant derivative operators D_l.
Harnad, J., Its, Alexander R.
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Metrics On Unitary Matrices And Their Application To Quantifying The Degree Of Non-Commutativity Between Unitary Matrices

, 2011
By studying the minimum resources required to perform a unitary transformation, families of metrics and pseudo-metrics on unitary matrices that are closely related to a recently reported quantum speed limit by the author are found.
Chau, H. F.
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