Quantum state transfer in optomechanical arrays

TL;DR

This paper proposes a scheme for high-fidelity quantum state transfer in a cavity optomechanical array, utilizing effective bosonic chains and considering realistic thermal effects to ensure practical feasibility.

Contribution

It introduces a novel protocol for quantum state transfer in optomechanical networks, including an effective Hamiltonian reduction and analysis of thermal reservoir effects.

Findings

The system can be reduced to two decoupled bosonic chains for analysis.

The protocol achieves transfer of arbitrary quantum states.

Thermal reservoir effects are manageable within the proposed scheme.

Abstract

Quantum state transfer between distant nodes is at the heart of quantum processing and quantum networking. Stimulated by this, we propose a scheme where one can highly achieve quantum state transfer between sites in a cavity quantum optomechanical network. There, each individual cell site is composed of a localized mechanical mode which interacts with a laser-driven cavity mode via radiation pressure, and photons exchange between neighboring sites is allowed. After the diagonalization of the Hamiltonian of each cell, we show that the system can be reduced to an effective Hamiltonian of two decoupled bosonic chains, and therefore we can apply the well-known results regarding quantum state transfer in conjuction with an additional condition on the transfer times. In fact, we show that our transfer protocol works for any arbitrary quantum state, a result that we will illustrate within the red sideband regime. Finally, in order to give a more realistic scenario we take into account the effects of independent thermal reservoirs for each site. Thus, solving the standard master equation within the Born-Markov approximation, we reassure both the effective model as well as the feasibility of our protocol.