Optimising Perfect Quantum State Transfer for Timing Insensitivity

TL;DR

This paper investigates the timing sensitivity of perfect quantum state transfer and introduces engineered spin chains that minimize this sensitivity, achieving asymptotic optimality and extending to fractional revival.

Contribution

It presents a novel design of engineered spin chains that reduce timing sensitivity in quantum state transfer, demonstrating asymptotic optimality and applicability to fractional revival.

Findings

Engineered spin chains significantly reduce timing sensitivity.

The construction is proven to be asymptotically optimal.

Applicable to creating superpositions via fractional revival.

Abstract

When studying the perfect transfer of a quantum state from one site to another, it is typically assumed that one can receive the arriving state at a specific instant in time, with perfect accuracy. Here, we study how sensitive perfect state transfer is to that timing. We design engineered spin chains which reduce their sensitivity, proving that this construction is asymptotically optimal. The same construction is applied to the task of creating superpositions, also known as fractional revival.