Perfect transfer of quantum states in a network of harmonic oscillators

TL;DR

This paper introduces an exactly solvable scheme for optimal quantum state transfer in a network of harmonic oscillators, analyzing Hamiltonian parameters, network size, and transfer time, including entangled states.

Contribution

It provides a novel, exact solution for quantum state transfer in oscillator networks, linking Hamiltonian parameters with transfer efficiency and time.

Findings

Explicit relationship between Hamiltonian parameters and transfer time

Successful transfer of entangled states demonstrated

Physical realizations of the transfer scheme discussed

Abstract

This work presents an exactly soluble scheme to address the problem of optimal transfer of quantum states through a set of $s$ harmonic oscillators composing a network with connected ends as a closed quantum circuit. For this purpose we start from a general quadratic Hamiltonian form. The relationship between the parameters of the Hamiltonian, the network size, and the time interval required for such transfer are explicitly shown. Particular physical realizations of this Hamiltonian, transfer of entangled states, including transfer of states at the expense of a quantum entanglement, are also considered.