Universal Existence of Exact Quantum State Transmissions in Interacting Media

TL;DR

This paper proves that exact quantum state transmission is universally possible in any media, using a complete set of orthogonal states, and introduces a Hamiltonian-independent adiabatic transfer method.

Contribution

It establishes the universal existence of orthogonal state sets for exact quantum transmission in arbitrary media and proposes a Hamiltonian-independent adiabatic transfer protocol.

Findings

Existence of orthogonal state sets for exact transmission in all media

Application to spin, fermionic, and bosonic chains

Proposal of a Hamiltonian-independent adiabatic transfer method

Abstract

We consider an exact state transmission, where a density matrix in one information processor A at time $t=0$ is exactly equal to that in another processor B at a later time. We demonstrate that there always exists a complete set of orthogonal states, which can be employed to perform the exact state transmission. Our result is very general in the sense that it holds for arbitrary media between the two processors and for any time interval. We illustrate our results in terms of models of spin, fermionic and bosonic chains. This complete set can be used as bases to study the perfect state transfer, which is associated with degenerated subspaces of this set of states. Interestingly, this formalism leads to a proposal of perfect state transfer via adiabatic passage, which does not depend on the specific form of the driving Hamiltonian.