Results 21 to 30 of about 236 (46)

On the digraph of a unitary matrix

open access: yes, 2003
Given a matrix M of size n, a digraph D on n vertices is said to be the digraph of M, when M_{ij} is different from 0 if and only if (v_{i},v_{j}) is an arc of D.
Grössing Gerhard   +5 more
core   +2 more sources

On the maximal dimension of a completely entangled subspace for finite level quantum systems [PDF]

open access: yes, 2004
Let $\mathcal{H}_i$ be a finite dimensional complex Hilbert space of dimension $d_i$ associated with a finite level quantum system $A_i$ for $i = i, 1,2, ..., k$. A subspace $S \subset \mathcal{H} = \mathcal{H}_{A_{1} A_{2}...
Parthasarathy, K. R.
core   +2 more sources

Upper bound on the total number of knot $n$-mosaics

open access: yes, 2014
Lomonaco and Kauffman introduced a knot mosaic system to give a definition of a quantum knot system which can be viewed as a blueprint for the construction of an actual physical quantum system.
Hong, Kyungpyo   +3 more
core   +1 more source

Quantum Algorithms for Some Hidden Shift Problems [PDF]

open access: yes, 2003
Almost all of the most successful quantum algorithms discovered to date exploit the ability of the Fourier transform to recover subgroup structures of functions, especially periodicity.
Hallgren, Sean   +2 more
core   +3 more sources

Quantum entanglement and the Bell Matrix

open access: yes, 2015
We present a class of maximally entangled states generated by a high-dimensional generalisation of the \textsc{cnot} gate. The advantage of our approach is the simple algebraic structure of both entangling operator and resulting entangled states.
Lai, Anna Chiara   +2 more
core   +1 more source

Braiding and entanglement in spin networks: a combinatorial approach to topological phases

open access: yes, 2008
The spin network quantum simulator relies on the su(2) representation ring (or its q-deformed counterpart at q= root of unity) and its basic features naturally include (multipartite) entanglement and braiding.
Kadar, Zoltan   +2 more
core   +1 more source

On the geometric distance between quantum states with positive partial transposition and private states

open access: yes, 2009
We prove an analytic positive lower bound for the geometric distance between entangled positive partial transpose (PPT) states of a broad class and any private state that delivers one secure key bit.
A. Peres   +19 more
core   +1 more source

Canonical forms, higher rank numerical range, convexity, totally isotropic subspace, matrix equations

open access: yes, 2008
Results on matrix canonical forms are used to give a complete description of the higher rank numerical range of matrices arising from the study of quantum error correction.
Li, Chi-Kwong, Sze, Nung-Sing
core   +1 more source

Generalized Bell states and principal realization of the Yangian Y(sl_N)

open access: yes, 2013
We prove that the action of the Yangian algebra Y(sl_N) is better described by the principal generators on the tensor product of the fundamental representation and its dual.
Bai, Chengming   +3 more
core   +1 more source

Dirichlet polynomials, Majorization, and Trumping

open access: yes, 2013
Majorization and trumping are two partial orders which have proved useful in quantum information theory. We show some relations between these two partial orders and generalized Dirichlet polynomials, Mellin transforms, and completely monotone functions ...
Pereira, Rajesh, Plosker, Sarah
core   +1 more source

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