Integrable Quantum Computation

TL;DR

This paper explores integrable quantum computation, linking quantum circuits to solutions of the Yang-Baxter equation and the Bethe ansatz, providing a unified theoretical framework for such models.

Contribution

It introduces a clear definition of integrable quantum computation and unifies the description of quantum computing models based on the Yang-Baxter equation and Bethe ansatz.

Findings

Connection between quantum circuits and Yang-Baxter solutions

Unified framework for integrable quantum computation

Insight into the physics of quantum circuit models

Abstract

Integrable quantum computation is defined as quantum computing via the integrable condition, in which two-qubit gates are either nontrivial unitary solutions of the Yang--Baxter equation or the Swap gate (permutation). To make the definition clear, in this article, we explore the physics underlying the quantum circuit model, and then present a unified description on both quantum computing via the Bethe ansatz and quantum computing via the Yang--Baxter equation.