Discording power of quantum evolutions.

On The Power Of Coherently Controlled Quantum Adiabatic Evolutions

A major challenge facing adiabatic quantum computing is that algorithm design and error correction can be difficult for adiabatic quantum computing. Recent work has considered addressing this challenge by using coherently controlled adiabatic evolutions in the place of classically controlled evolution. An important question remains: what is the relative power of controlled adiabatic evolution t...

Multipartite entanglement, quantum- error-correcting codes, and entangling power of quantum evolutions

Quantum simulations under translational symmetry

We investigate the power of quantum systems for the simulation of Hamiltonian time evolutions on a cubic lattice under the constraint of translational invariance. Given a set of translationally invariant local Hamiltonians and short range interactions we determine time evolutions which can and those that can not be simulated. Whereas for general spin systems no finite universal set of generatin...

Design of low power random number generators for quantum-dot cellular automata

Quantum-dot cellular automata (QCA) are a promising nanotechnology to implement digital circuits at the nanoscale. Devices based on QCA have the advantages of faster speed, lower power consumption, and greatly reduced sizes. In this paper, we are presented the circuits, which generate random numbers in QCA.  Random numbers have many uses in science, art, statistics, cryptography, gaming, gambli...

Matrix realignment and partial-transpose approach to entangling power of quantum evolutions

Given a unitary operator, in the context of quantum information 1 , one may ask how much entanglement capability the operator has. The entangling unitary operator can be considered as a resource for quantum-information processing, and it becomes important to quantitatively describe unitary operators. Recently, there is increasing interest in the entanglement capabilities of quantum evolution an...