Perfect transfer of quantum states in a network of harmonic oscillators

摘要

This work presents an exactly soluble scheme to address the problem ofoptimal transfer of quantum states through a set of $s$ harmonic oscillatorscomposing a network with connected ends as a closed quantum circuit. For thispurpose we start from a general quadratic Hamiltonian form. The relationshipbetween the parameters of the Hamiltonian, the network size, and the timeinterval required for such transfer are explicitly shown. Particular physicalrealizations of this Hamiltonian, transfer of entangled states, includingtransfer of states at the expense of a quantum entanglement, are alsoconsidered.