Zobrazeno 1 - 10
of 231
pro vyhledávání: '"Pereira, Rajesh"'
For an open quantum system to evolve under CPTP maps, assumptions are made on the initial correlations between the system and the environment. Hermitian-preserving trace-preserving (HPTP) maps are considered as the local dynamic maps beyond CPTP. In
Externí odkaz:
http://arxiv.org/abs/2308.01894
Publikováno v:
Journal of Physics A: Mathematical and Theoretical (2024)
We establish an operator algebra generalization of Watrous' theorem \cite{watrous2009} on mixing unital quantum channels (completely positive trace-preserving maps) with the completely depolarizing channel, wherein the more general objects of focus b
Externí odkaz:
http://arxiv.org/abs/2306.04077
A de Bruijn torus is the two dimensional generalization of a de Bruijn sequence. While some methods exist to generate these tori, only a few methods of construction are known. We present a novel method to generate de Bruijn tori with rectangular wind
Externí odkaz:
http://arxiv.org/abs/2306.01498
We investigate a graph-theoretic approach to the problem of distinguishing quantum product states in the fundamental quantum communication framework called local operations and classical communication (LOCC). We identify chordality as the key graph s
Externí odkaz:
http://arxiv.org/abs/2305.10153
We show that any finite dimensional von Neumann algebra admits an orthonormal unitary basis with respect to its standard trace. We also show that a finite dimensional von Neumann subalgebra of $M_n(\mathbb{C})$ admits an orthonormal unitary basis und
Externí odkaz:
http://arxiv.org/abs/2211.11732
Quantum entanglement can be studied through the theory of completely positive maps in a number of ways, including by making use of the Choi-Jamilkowski isomorphism, which identifies separable states with entanglement breaking quantum channels, and op
Externí odkaz:
http://arxiv.org/abs/2211.11909
Publikováno v:
Physical Review A, 106:052417, 2022
We investigate the set of quantum states that can be shown to be $k$-incoherent based only on their eigenvalues (equivalently, we explore which Hermitian matrices can be shown to have small factor width based only on their eigenvalues). In analogy wi
Externí odkaz:
http://arxiv.org/abs/2205.05110
Publikováno v:
Applied Sciences 2021-10-14
We bring together in one place some of the main results and applications from our recent works in quantum information theory, in which we have brought techniques from operator theory, operator algebras, and graph theory for the first time to investig
Externí odkaz:
http://arxiv.org/abs/2110.07657
Publikováno v:
In Linear Algebra and Its Applications 1 August 2024 694:478-498
Publikováno v:
Electronic Journal of Linear Algebra, 38:760-776, 2022
We develop numerous results that characterize when a complex Hermitian matrix is Birkhoff-James orthogonal, in the trace norm, to a (Hermitian) positive semidefinite matrix or set of positive semidefinite matrices. For example, we develop a simple-to
Externí odkaz:
http://arxiv.org/abs/2109.05552