Two-qubit entanglement generation through non-Hermitian Hamiltonians induced by repeated measurements on an ancilla
Abstract
In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system-environment dynamics that is trace preserving. Recently, a scheme for engineering non-Hermitian Hamiltonians as a result of repetitive measurements on an anicillary qubit has been proposed. The induced conditional dynamics of the main system is described by the effective non-Hermitian Hamiltonian arisng from the procedure. In this paper we demonstrate the effectiveness of such a protocol by applying it to physically relevant multi-spin models, showing that the effective non-Hermitian Hamiltonian drives the system to a maximally entangled stationary state. In addition, we report a new recipe to construct a physical scenario where the quantum dynamics of a physical system represented by a given non-Hermitian Hamiltonian model may be simulated. The physical implications and the broad scope potential applications of such a scheme are highlighted.
Keywords
Cite
@article{arxiv.2009.10004,
title = {Two-qubit entanglement generation through non-Hermitian Hamiltonians induced by repeated measurements on an ancilla},
author = {R. Grimaudo and A. Messina and A. Sergi and N. V. Vitanov and S. N. Filippov},
journal= {arXiv preprint arXiv:2009.10004},
year = {2020}
}