Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Diane Christine Pelejo"'
Publikováno v:
Linear Algebra and its Applications. 572:135-152
We prove that if a 7 × 7 sign pattern matrix is potentially stable, then it has at least 11 non-zero entries. The results for n × n matrix with n up to 6 are known previously. We prove the result by making a list of possible associated digraphs wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2fa80d2fb16cb0756f83b61852f566b
https://doi.org/10.1016/j.laa.2019.03.002
https://doi.org/10.1016/j.laa.2019.03.002
Publikováno v:
Discrete and Continuous Dynamical Systems - S. 15:2497
It is shown that for any positive integer \begin{document}$ n \ge 3 $\end{document}, there is a stable irreducible \begin{document}$ n\times n $\end{document} matrix \begin{document}$ A $\end{document} with \begin{document}$ 2n+1-\lfloor\frac{n}{3}\r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e747291cd2bb54e4e2ec96e1295a55a9
https://doi.org/10.3934/dcdss.2021128
https://doi.org/10.3934/dcdss.2021128
We consider a homogeneous system of linear equations of the form $A_\alpha^{\otimes N} {\bf x} = 0$ arising from the distinguishability of two quantum operations by $N$ uses in parallel, where the coefficient matrix $A_\alpha$ depends on a real param
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26abd3df16c213d584e6a0ccd1008967
Publikováno v:
Quantum Information and Computation. 16:845-861
Let $\rho_1, \rho_2$ be quantum states and $(\rho_1,\rho_2) \mapsto D(\rho_1, \rho_2)$ be a scalar function such as the trace norm, the fidelity, and the relative entropy, etc. We determine optimal bounds for $D(\rho_1, \Phi(\rho_2))$ for $\Phi \in \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::695c721ebaa354d5bf6ecf79ea1e9bf1
https://doi.org/10.26421/qic16.9-10-7
https://doi.org/10.26421/qic16.9-10-7
Publikováno v:
Operators and Matrices. :945-965
Let $K_1, K_2$ be two compact convex sets in $\mathit{C}$. Their Minkowski product is the set $K_1K_2 = \{ab: a \in K_1, b\in K_2\}$. We show that the set $K_1K_2$ is star-shaped if $K_1$ is a line segment or a circular disk. Examples for $K_1$ and $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::137e6d6b359487cb88ef088bd9fe5152
https://doi.org/10.7153/oam-10-53
https://doi.org/10.7153/oam-10-53
A square matrix $M$ with real entries is said to be algebraically positive (AP) if there exists a real polynomial $p$ such that all entries of the matrix $p(M)>0$. A square sign pattern matrix $S$ is said to allow algebraic positivity if there is an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::411ef3590f3342172ffca4e799ed6ecd
Autor:
Chi-Kwong Li, Diane Christine Pelejo, Henry Wolkowicz, Dmitriy Drusvyatskiy, Yuen-Lam Voronin
Publikováno v:
Quantum Information Processing. 14:3075-3096
We consider the problem of constructing quantum channels, if they exist, that transform a given set of quantum states $$\{\rho _1, \ldots , \rho _k\}$${?1,?,?k} to another such set $$\{\hat{\rho }_1, \ldots , \hat{\rho }_k\}$${?^1,?,?^k}. In other wo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99a8c3c822783849249adf2c537aff75
https://doi.org/10.1007/s11128-015-1024-y
https://doi.org/10.1007/s11128-015-1024-y
We use projection methods to construct (global) quantum states with prescribed reduced (marginal) states, and possibly with some special properties such as having specific eigenvalues, having specific rank and extreme von Neumann or Renyi entropy. Us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d9a4ad81bc911114710e059fb19dfdd
http://arxiv.org/abs/1604.08289
http://arxiv.org/abs/1604.08289
Publikováno v:
Linear Algebra and its Applications. 432:1165-1175
We present new results on the ϕ J polar decomposition of matrices. We show that every symplectic matrix may be written as a product of symplectic operation matrices. We present a simple form attained under symplectic equivalence, which makes it easy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2042141685e84fdd6f8f80929415913e
https://doi.org/10.1016/j.laa.2009.10.026
https://doi.org/10.1016/j.laa.2009.10.026
Several characterizations are given for a square matrix that can be written as the product of two positive (semidefinite) projections. Based on one of these characterizations, and the theory of alternating projections, a Matlab program is written to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b277b7211a34ef4f04cd4de6295f18e2
http://arxiv.org/abs/1512.05384
http://arxiv.org/abs/1512.05384