Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Functional Analysis

Quasi-free quantum stochastic integrals for the CAR and CCR

C Barnett, R. F. Streater, Ivan F. Wilde

Published Jun 1, 1983• 64 citations
Publisher
DOI
10.1016/0022-1236(83)90089-7

Related papers

Quasi-free quantum stochastic integrals in the plane

Joseph Spring, Ivan F. Wilde

Reports on Mathematical Physics•Feb 1, 2002•1 citation

Quasi-free stochastic integral representation theorems over the CCR

Ivan F. Wilde

Abstract It is shown that each vector in the Hilbert space of certain quasi-free representations of the CCR can be written uniquely in terms of quantum stochastic integrals. As a consequence, we obtain general vector-valued and operator-valued boson quantum martingale representation theorems.

Mathematical Proceedings of the Cambridge Philosophical Society•Sep 1, 1988•3 citations

Entropy and the central limit theorem in quantum mechanics

R. F. Streater

Gives a short proof that any infinitely divisible even representation of a Clifford algebra or a CAR algebra is quasi-free, and of Hudson's central limit theorem (1973) for fermions. The author shows that the entropy of any even state of the CAR, Clifford or CCR algebra is less than or equal to the entropy of the quasi-free state with the same two-point function.

Journal of Physics A Mathematical and General•Sep 11, 1987•8 citations

Quantum Stochastic Integrals

R. F. Streater

Springer eBooks•Jan 1, 1984•3 citations

On the correlation measure of a family of commuting Hermitian operators with applications to particle densities of the quasi-free representations of the CAR and CCR

Eugene Lytvynov, Lin Mei

arXiv:math/0608334•Journal of Functional Analysis•Feb 6, 2007•13 citations

A RELATION BETWEEN FOCK AND NON-FOCK CAR STOCHASTIC INTEGRALS

I. Cuculescu

QP-PQ, quantum probability and white noise analysis•Oct 1, 1998•0 citations