We consider crossed product II1 factors M = N ⋊σ G, with G discrete ICC groups that contain infinite normal subgroups with the relative property (T) and σ trace preserving actions of G on finite von Neumann algebras N that are “malleable” and mixing. Examples are the actions of G by Bernoulli shifts (classical and non-classical), and by Bogoliubov shifts. We prove a rigidity result for isomorph...

In this work we show that the most general class of anti-unitary operators are nonphysical in nature through the existence of incomparable pure bipartite entangled states. It is also shown that a large class of inner-product-preserving operations defined only on the three qubits having spin-directions along x, y and z are impossible. If we perform such an operation locally on a particular pure ...

We propose a new type of locally interacting quantum circuits—quantum cellular automata—that are generated by unitary interactions round-a-face (IRF). Specifically, we discuss set (or manifold) dual-unitary IRFs with local Hilbert space dimension d [DUIRF (d)], which generate evolutions both in and time directions an extended 1+1 dimensional lattice. show how arbitrary dynamical correlation fun...

Abstract We examine the topology of the subset of controls taking a given initial state to a given final state in quantum control, where “state” may mean a pure state |ψ〉, an ensemble density matrix ρ, or a unitary propagator U(0, T ). The analysis consists in showing that the endpoint map acting on control space is a Hurewicz fibration for a large class of affine control systems with vector co...

A framework is proposed that allows to write down field theories with a new energy scale while explicitly preserving Lorentz invariance and without spoiling the features of standard quantum field theory which allow quick calculations of scattering amplitudes. If the invariant energy is set to the Planck scale, these deformed field theories could serve to model quantum gravity phenomenology. The...

Dependability represents a critical requirement for modern distributed systems. Today new requirements emerged. Among them reliability, safety, availability, security and maintainability are needed by more and more modern distributed service computing architectures. In this paper we present an approach to ensuring dependability in distributed infrastructures using virtualization for fault-toler...

Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics, and quantum computation. We derive a time-energy uncertainty relation for open quantum systems undergoing a general, completely positive, and trace preserving evolution which provides a bound to the quantum speed limit. When the evolution is of the Lindblad form, the...

The notion of strongly Lie zero-product preserving maps on normed algebras as a generalization of Lie zero-product preserving maps are dened. We give a necessary and sufficient condition from which a linear map between normed algebras to be strongly Lie zero-product preserving. Also some hereditary properties of strongly Lie zero-product preserving maps are presented. Finally the second dual of...