Zobrazeno 1 - 10
of 183
pro vyhledávání: '"15a51"'
Autor:
Gould, Miles
In 1946, Garrett Birkhoff proved that the $n\times n$ doubly stochastic matrices comprise the convex hull of the $n\times n$ permutation matrices, which in turn make up the extreme points of this polytope. He proposed his problem 111, which asks whet
Externí odkaz:
http://arxiv.org/abs/2412.06707
Autor:
Lahiri, Somdeb
Our first result is a statement of a somewhat general form of a non-substitution theorem for linear programming problems, along with a very easy proof of the same. Subsequently, we provide an easy proof of theorem 1 in a 1979 paper of Olvi L. Mangasa
Externí odkaz:
http://arxiv.org/abs/2408.14150
Autor:
Malvetti, Emanuel
We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine (i) controls for cooling and heating such systems in a time-optimal wa
Externí odkaz:
http://arxiv.org/abs/2404.09279
Autor:
Malvetti, Emanuel
We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. Here the system drift takes the form of a Lindblad master equation and we assume fast unitary control. This setting allows for a nat
Externí odkaz:
http://arxiv.org/abs/2403.05285
Open Markovian quantum systems with fast and full Hamiltonian control can be reduced to an equivalent control system on the standard simplex modelling the dynamics of the eigenvalues of the density matrix describing the quantum state. We explore this
Externí odkaz:
http://arxiv.org/abs/2308.00561
Autor:
Chebotarev, Pavel
Publikováno v:
Journal of Complex Networks, Volume 11, Issue 5, October 2023, cnad035
We consider several families of network centrality measures induced by graph kernels, which include some well-known measures and many new ones. The Self-consistency and Bridge axioms, which appeared earlier in the literature, are closely related to c
Externí odkaz:
http://arxiv.org/abs/2301.00084
For any unitary matrix there exists a ZXZ decomposition, according to a theorem by Idel and Wolf. For any even-dimensional unitary matrix there exists a block-ZXZ decomposition, according to a theorem by F\"uhr and Rzeszotnik. We conjecture that thes
Externí odkaz:
http://arxiv.org/abs/2112.00226
Autor:
Jung Jaewon, Kim Donggyun
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp pp. 199-220 (2024)
The symmetric stochastic inverse eigenvalue problem (SSIEP) asks which lists of real numbers occur as the spectra of symmetric stochastic matrices. When the cardinality of a list is 4, Kaddoura and Mourad provided a sufficient condition for SSIEP by
Externí odkaz:
https://doaj.org/article/027fb8f67c0f4880aaf1d7d31426923a
Autor:
Pellegrino, Daniel, Raposo Jr, Anselmo
Publikováno v:
Journal of Functional Analysis, Volume 282, Issue 2, 15 January 2022, 109293
The Kahane--Salem--Zygmund inequality for multilinear forms in $\ell_{\infty}$ spaces claims that, for all positive integers $m,n_{1},...,n_{m}$, there exists an $m$-linear form $A\colon\ell_{\infty}^{n_{1}}\times\cdots\times \ell_{\infty}^{n_{m}}\lo
Externí odkaz:
http://arxiv.org/abs/2006.12892
Autor:
De Vos, Alexis, De Baerdemacker, Stijn
Publikováno v:
Linear Algebra and its Applications, 606, 23 (2020)
Birkhoff's theorem tells that any doubly stochastic matrix can be decomposed as a weighted sum of permutation matrices. A similar theorem reveals that any unitary matrix can be decomposed as a weighted sum of complex permutation matrices. Unitary mat
Externí odkaz:
http://arxiv.org/abs/2005.12959