Quasi-perfect state transfer in a bosonic dissipative network

TL;DR

This paper introduces a scheme for nearly perfect quantum state transfer in a dissipative bosonic network, utilizing algebraic criteria and virtual excitation processes to mitigate nonidealities and optimize transfer fidelity.

Contribution

It provides a new analytical criterion for coupling strengths that enables near-perfect state transfer in dissipative harmonic oscillator networks.

Findings

The criterion fixes coupling parameters for ideal transfer.

Virtual excitation of transmitters reduces decay effects.

Numerical simulations confirm the protocol's effectiveness.

Abstract

In this paper we propose a scheme for quasi-perfect state transfer in a network of dissipative harmonic oscillators. We consider ideal sender and receiver oscillators connected by a chain of nonideal transmitter oscillators coupled by nearest-neighbor resonances. From the algebraic properties of the dynamical quantities describing the evolution of the network state, we derive a criterion, fixing the coupling strengths between all the oscillators, apart from their natural frequencies, enabling perfect state transfer in the particular case of ideal transmitter oscillators. Our criterion provides an easily manipulated formula enabling perfect state transfer in the special case where the network nonidealities are disregarded. By adjusting the common frequency of the sender and the receiver oscillators to be out of resonance with that of the transmitters, we demonstrate that the sender's state tunnels to the receiver oscillator by virtually exciting the nonideal transmitter chain. This virtual process makes negligible the decay rate associated with the transmitter line on the expenses of delaying the time interval for the state transfer process. Apart from our analytical results, numerical computations are presented to illustrate our protocol.