Quantum random walk revisited

• Autorzy: Kalyan B. Sinha
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81S25: Quantum stochastic calculus
• 60H10: Stochastic ordinary differential equations
• 46N50: Applications in quantum physics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 377-390

Daty

wydano

2006

Twórcy

autor

Kalyan B. Sinha

• Indian Statistical Institute, 7, SJS Sansanwal Marg, New Delhi 110016, India

Identyfikatory

DOI

10.4064/bc73-0-30