Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Girard, Mark"'
Publikováno v:
Nat. Commun. 12, 2129 (2021)
Given two quantum channels, we examine the task of determining whether they are compatible - meaning that one can perform both channels simultaneously but, in the future, choose exactly one channel whose output is desired (while forfeiting the output
Externí odkaz:
http://arxiv.org/abs/2009.03279
Autor:
Girard, Mark, Levick, Jeremy
Publikováno v:
Linear Algebra and its Applications Volume 615 (2020) pp. 207-227
For a positive integer $d$ and a unitary representation $\rho:G\rightarrow\mathrm{U}(d)$ of a compact group $G$, the twirling channel for this representation is the linear mapping $\Phi: M_d\rightarrow M_d$ defined as $\Phi(X)=\int_{G}\mathrm{d}\mu(g
Externí odkaz:
http://arxiv.org/abs/2005.07056
Autor:
Girard, Mark, Leung, Debbie, Levick, Jeremy, Li, Chi-Kwong, Paulsen, Vern, Poon, Yiu Tung, Watrous, John
In the theory of quantum information, the mixed-unitary quantum channels, for any positive integer dimension $n$, are those linear maps that can be expressed as a convex combination of conjugations by $n\times n$ complex unitary matrices. We consider
Externí odkaz:
http://arxiv.org/abs/2003.14405
Publikováno v:
Linear Algebra Appl. 608 (2021), 248-269
We introduce the notion of one-sided mapping cones of positive linear maps between matrix algebras. These are convex cones of maps that are invariant under compositions by completely positive maps from either the left or right side. The duals of such
Externí odkaz:
http://arxiv.org/abs/2002.09614
Publikováno v:
Quantum 5, 448 (2021)
We identify necessary and sufficient conditions for a quantum channel to be optimal for any convex optimization problem in which the optimization is taken over the set of all quantum channels of a fixed size. Optimality conditions for convex optimiza
Externí odkaz:
http://arxiv.org/abs/1810.13295
Autor:
Girard, Mark W.
Given a function $f:(0,\infty)\rightarrow\RR$ and a positive semidefinite $n\times n$ matrix $P$, one may define a trace functional on positive definite $n\times n$ matrices as $A\mapsto \Tr(Pf(A))$. For differentiable functions $f$, the function $A\
Externí odkaz:
http://arxiv.org/abs/1810.05641
When a quantum system is distributed to spatially separated parties, it is natural to consider how the system evolves when the parties perform local quantum operations with classical communication (LOCC). However, the structure of LOCC channels is ex
Externí odkaz:
http://arxiv.org/abs/1711.03835
Autor:
Girard, Mark W., Gour, Gilad
We introduce an entanglement-related quantity that we call the binegativity. Based on numerical evidence, we conjecture that the binegativity is an entanglement measure for two-qubit states. The binegativity is compared to the concurrence and negativ
Externí odkaz:
http://arxiv.org/abs/1701.02724
Autor:
Girard, Mark W., Gour, Gilad
Publikováno v:
Phys. Rev. A 95, 012308 (2017)
The primary goal in the study of entanglement as a resource theory is to find conditions that determine when one quantum state can or cannot be transformed into another via local operations and classical communication. This is typically done through
Externí odkaz:
http://arxiv.org/abs/1609.08016
Autor:
Girard, Mark, Levick, Jeremy
Publikováno v:
In Linear Algebra and Its Applications 15 April 2021 615:207-227
