Results 11 to 20 of about 138,468 (211)
A NISQ Method to Simulate Hermitian Matrix Evolution [PDF]
Entropy, 2022 As a universal quantum computer requires millions of error-corrected qubits, one of the current goals is to exploit the power of noisy intermediate-scale quantum (NISQ) devices.
Keren Li, Pan Gao
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Hermitian-Randić matrix and Hermitian-Randić energy of mixed graphs
Journal of Inequalities and Applications, 2017 Let M be a mixed graph and H ( M ) $H(M)$ be its Hermitian-adjacency matrix. If we add a Randić weight to every edge and arc in M, then we can get a new weighted Hermitian-adjacency matrix. What are the properties of this new matrix?
Yong Lu, Ligong Wang, Qiannan Zhou
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A matrix model from string field theory
Frontiers in Physics, 2016 We demonstrate that a Hermitian matrix model can be derived from level truncated open string field theory with Chan-Paton factors. The Hermitian matrix is coupled with a scalar and U(N) vectors which are responsible for the D-brane at the tachyon vacuum.
Syoji Zeze
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Ranks of a Constrained Hermitian Matrix Expression with Applications [PDF]
Journal of Applied Mathematics, 2013 We establish the formulas of the maximal and minimal ranks of the quaternion Hermitian matrix expression C4−A4XA4∗ where X is a Hermitian solution to quaternion matrix equations A1X=C1, XB1=C2, and A3XA3*=C3.
Shao-Wen Yu
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Hermitian matrix inversion algorithm
Advanced Engineering Research, 2015 The work objective is speeding the covariance matrix converter of the adaptive antenna array interference by reducing the number of operations performed. A problem of developing an aprior information inversion algorithm relying on the Hermitian nature of
Marina Yuryevna Zvezdina +3 more
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Hermitian Laplacian Matrix of Directed Graphs [PDF]
Jisuanji kexue, 2023 Laplacian matrix plays an important role in the research of undirected graphs.From its spectrum,some structure and properties of a graph can be deduced.Based on this,several efficient algorithms have been designed for relevant tasks in graphs,such as ...
LIU Kaiwen, HUANG Zengfeng
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On Hermitian and Skew-Hermitian Matrix Algebras over Octonions [PDF]
Journal of Nonlinear Mathematical Physics, 2020 We prove simplicity, and compute $δ$-derivations and symmetric associative forms of algebras in the title.
Zohrabi, Arezoo, Zusmanovich, Pasha
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When is the hermitian/skew-hermitian part of a matrix a potent matrix? [PDF]
The Electronic Journal of Linear Algebra, 2012 This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: characterizations of idempotent and tripotent Hermitian matrices of a special form, and a singular value decomposition of A.
Ilisevic, Dijana, Thome, Néstor
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The scattering matrix with respect to an Hermitian matrix of a graph
Discrete Mathematics, 2022 21 pages.
Takashi Komatsu, Norio Konno, Iwao Sato
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A characterization of the definiteness of a Hermitian matrix [PDF]
Glasgow Mathematical Journal, 1974 We denote by F the field R of real numbers, the field C of complex numbers or the skew-field H of real quaternions, and by Fn an n-dimensional left vector space over F. If A is a matrix with elements in F, we denote by A* its conjugate transpose. In all three cases of F, an n × n matrix A is said to be hermitian (unitary resp.) if A = A* (AA*= identity
Au-Yeung, Yik-Hoi, Yuen, Tai-Kwok
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