A Review of Perfect State Transfer and its Application as a Constructive Tool

TL;DR

This paper reviews perfect state transfer in spin chains, exploring how it can be used as a constructive tool for quantum protocols and universal quantum computation.

Contribution

It provides a comprehensive review of perfect state transfer and demonstrates its application as a foundational tool for designing quantum protocols and universal quantum computers.

Findings

Perfect state transfer can be used to implement entanglement generation.

Spin chain interactions can be engineered for reliable quantum state transfer.

Universal quantum computation can be achieved using perfect state transfer techniques.

Abstract

We review the subject of perfect state transfer; how one designs the (fixed) interactions of a chain of spins so that a quantum state, initially inserted on one end of the chain, is perfectly transferred to the opposite end in a fixed time. The perfect state transfer systems are then used as a constructive tool to design Hamiltonian implementations of other primitive protocols such as entanglement generation and signal amplification in measurements, before showing that, in fact, universal quantum computation can be implemented in this way.