# Random-walk approximation to vacuum cocycles

## Related Articles

- Quantum random walks and their convergence to Evans--Hudson flows. Sahu, Lingaraj // Proceedings of the Indian Academy of Sciences: Mathematical Scie;Aug2008, Vol. 118 Issue 3, p443
Using coordinate-free basic operators on toy Fock spaces, quantum random walks are defined following the ideas of Attal and Pautrat. Extending the result for one dimensional noise, strong convergence of quantum random walks associated with bounded structure maps to Evans-Hudson flow is proved...

- Limit relation for quantum entropy and channel capacity per unit cost. Csiszár, Imre; Hiai, Fumio; Petz, Dénes // Journal of Mathematical Physics;Sep2007, Vol. 48 Issue 9, p092102
In a thermodynamic model, DiÃ³si et al. [Int. J. Quantum Inf. 4, 99â€“104 (2006)] arrived at a conjecture stating that certain differences of von Neumann entropies converge to relative entropy as system size goes to infinity. The conjecture is proven in this paper for density matrices....

- Canonical approximate quantum measurements. Ozawa, Masanao // Journal of Mathematical Physics;Dec93, Vol. 34 Issue 12, p5596
In order to generalize the Wigner formula for the joint probability distribution of successive canonical measurements of discrete observables to continuous observables, a mathematical model is investigated of a canonical approximate measurement of an arbitrary observable, which generalizes von...

- Local properties of quantum systems. Leaf, Boris // Journal of Mathematical Physics;Jun86, Vol. 27 Issue 6, p1612
Local properties of a quantum system are defined as the expectation values of its observables in a microstate of some complete set of commuting observables. An equation for the time evolution of local properties is obtained for any system whose statistical operator (density matrix) evolves by...

- Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian. Persson, Mikael // Advances in Mathematical Physics;2009, p1
We study the SchrÃ¶dinger operator with a constant magnetic field in the exterior of a compact domain in â„2d, d â©¾ 1. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We give asymptotic formulas for the rate of accumulation of eigenvalues in...

- Canonical transforms, quantumness and probability representation of quantum mechanics. Man'ko, Margarita A.; Man'ko, Vladimir I. // AIP Conference Proceedings;12/23/2010, Vol. 1323 Issue 1, p215
The linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution determines the quantum state instead of the wave function or density matrix. The example of Moshinsky shutter...

- On quantum fields that generate local algebras. Buchholz, Detlev // Journal of Mathematical Physics;Aug90, Vol. 31 Issue 8, p1839
The properties of quantum fields generating local nets of von Neumann algebras are discussed. For fields that satisfy certain energy bounds, necessary and sufficient conditions for the existence of such a net and for the existence of product states are given in terms of the vacuum expectation...

- A CHARACTERISATION OF TRANSIENT RANDOM WALKS ON STOCHASTIC MATRICES WITH DIRICHLET DISTRIBUTED LIMITS. MCKINLAY, S. // Journal of Applied Probability;Jun2014, Vol. 51 Issue 2, p542
We characterise the class of distributions of random stochastic matrices X with the property that the products X(n)X(n - 1) â‹¯ X(1) of independent and identically distributed copies X(k) of X converge almost surely as n â†’ âˆž and the limit is Dirichlet distributed. This extends a...

- A Note on the Solution of the Nearest Correlation Matrix Problem by Von Neumann Matrix Divergence. Mishra, S. K. // IUP Journal of Computational Mathematics;Mar2012, p7
In the extant literature a suggestion has been made to solve the nearest correlation matrix problem by a modified von Neumann approximation. This paper shows that obtaining the nearest positive semi-definite matrix from a given non-positivesemi- definite correlation matrix by such a method is...