Incorporating Encoding into Quantum System Design

TL;DR

This paper introduces a novel approach that integrates encoding into the quantum system design process, enabling perfect state transfer by controlling only two parameters, even with a fixed Hamiltonian.

Contribution

It presents a new methodology that incorporates encoding into quantum system design, reducing the complexity of achieving perfect state transfer.

Findings

Achieves perfect state transfer with minimal control parameters.

Transforms system design from Hamiltonian specification to control-based optimization.

Demonstrates practical advantages in quantum information transfer.

Abstract

When creating a quantum system whose natural dynamics provide useful computational operations, designers have two key tools at their disposal: the (constrained) choice of both the Hamiltonian and the the initial state of the system (an encoding). Typically, we fix the design, and utilise encodings post factum to tolerate experimental imperfections. In this paper, we describe a vital insight that incorporates encoding into the design process, with radical consequences. This transforms the study of perfect state transfer from the unrealistic scenario of specifying the Hamiltonian of an entire system to the far more realistic situation of being given a Hamiltonian over which we had no choice in the design, and designing time control of just two parameters to still achieve perfect transfer.