Time-dependent density-functional theory for open spin chains

Abstract

The application of methods of time-dependent density-functional theory to systems of qubits provided the interesting possibility of simulating an assigned Hamiltonian evolution by means of an auxiliary Hamiltonian having different two-qubit interactions and hence a possibly simpler wave-function evolution. In this paper we extend these methods to some instances of Lindblad evolution of a spin chain.

Noise-assisted quantum transport and computation

“…The interest of this proposal is in the fact (made possible by the extension of the point of view of TDDFT to discrete systems [22,23] and to open discrete systems [24]) that the same external time-dependent potential may be made to act along two branches of the computation, leading to completion without loss of phase information. …”

“…We are presently exploring the possibility, offered by Time-Dependent Density Functional Theory, of simulating the position probability distribution of an open quantum systems with the one of a system undergoing unitary propagation under a time dependent potential [21]. The interest of this proposal is in the fact (made possible by the extension of the point of view of TDDFT to discrete systems [22,23] and to open discrete systems [24]) that the same external time-dependent potential may be made to act along two branches of the computation, leading to completion without loss of phase information.…”