von Neumann stability of modified loop quantum cosmologies

Von Neumann Quantum Logic vs. Classical von Neumann Architecture?

The name of John von Neumann is common both in quantum mechanics and computer science. Are they really two absolutely unconnected areas? Many works devoted to quantum computations and communications are serious argument to suggest about existence of such a relation, but it is impossible to touch the new and active theme in a short review. In the paper are described the structures and models of ...

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

von Neumann capacity of noisy quantum channels

We discuss the capacity of quantum channels for information transmission and storage. Quantum channels have dual uses: they can be used to transmit known quantum states which code for classical information, and they can be used in a purely quantum manner, for transmitting or storing quantum entanglement. We propose here a definition of the von Neumann capacity of quantum channels, which is a qu...

The Von Neumann Method for Stability Analysis

Various methods have been developed for the analysis of stability, nearly all of them limited to linear problems. However, even within this restriction the complete investigation of stability for initial, boundary value problems can be extremely complicated, particularly in the presence of boundary conditions and their numerical representation. The problem of stability for a linear problem with...

Quantum Hall Dynamics on Von Neumann Lattice

h in quantum Hall regime of the system of interactions and disorders. This shows that a determination of the fine structure constant from integer quantum Hall effect is in fact possible. We present also a unified mean field theory of the fractional Hall effect for the in-compressible quantum liquid states based on flux condensation and point out that the known Hofstadter butterfly spectrum of t...