Quantum random walk revisited

Kalyan B. Sinha. "Quantum random walk revisited." Banach Center Publications 73.1 (2006): 377-390. <http://eudml.org/doc/282556>.

@article{KalyanB2006,
abstract = {In the framework of the symmetric Fock space over L²(ℝ₊), the details of the approximation of the four fundamental quantum stochastic increments by the four appropriate spin-matrices are studied. Then this result is used to prove the strong convergence of a quantum random walk as a map from an initial algebra 𝓐 into 𝓐 ⊗ ℬ (Fock(L²(ℝ₊))) to a *-homomorphic quantum stochastic flow.},
author = {Kalyan B. Sinha},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {377-390},
title = {Quantum random walk revisited},
url = {http://eudml.org/doc/282556},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Kalyan B. Sinha
TI - Quantum random walk revisited
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 377
EP - 390
AB - In the framework of the symmetric Fock space over L²(ℝ₊), the details of the approximation of the four fundamental quantum stochastic increments by the four appropriate spin-matrices are studied. Then this result is used to prove the strong convergence of a quantum random walk as a map from an initial algebra 𝓐 into 𝓐 ⊗ ℬ (Fock(L²(ℝ₊))) to a *-homomorphic quantum stochastic flow.
LA - eng
UR - http://eudml.org/doc/282556
ER -