Transformation of quantum photonic circuit models by term rewriting

TL;DR

This paper introduces a method using term rewriting to transform and analyze quantum photonic circuit models, aiding in their synthesis, verification, and robustness assessment within a Modelica-based framework.

Contribution

It presents a novel application of term rewriting techniques for quantum circuit transformation and analysis, integrating with Modelica for multi-domain physical modeling.

Findings

Effective reduction and verification of quantum photonic circuits

Enhanced robustness analysis for quantum error correction circuits

Demonstrated workflow using Modelica framework

Abstract

The development of practical methods for synthesis and verification of complex photonic circuits presents a grand challenge for the nascent field of quantum engineering. Of course, classical electrical engineering provides essential foundations and serves to illustrate the degree of sophistication that can be achieved in automated circuit design. In this paper we explore the utility of term rewriting approaches to the transformation of quantum circuit models, specifically applying rewrite rules for both reduction/verification and robustness analysis of photonic circuits for autonomous quantum error correction. We outline a workflow for quantum photonic circuit analysis that leverages the Modelica framework for multi-domain physical modeling, which parallels a previously described approach based on VHSIC Hardware Description Language (VHDL).