Mixed-Signal Quantum Circuit Design for Option Pricing Using Design Compiler

TL;DR

This paper introduces a mixed-signal quantum circuit framework that significantly reduces complexity and noise, enabling more practical quantum option pricing circuits by integrating classical VLSI techniques.

Contribution

It presents three novel methods for mixed-signal quantum circuit design that lower gate count, depth, and error rate, bridging quantum and classical circuit design approaches.

Findings

Reduced gate count from 4095 to 392

Decreased circuit depth from 2048 to 6

Lowered error rate from 25.86% to 1.64%

Abstract

Prior studies have largely focused on quantum algorithms, often reducing parallel computing designs to abstract models or overly simplified circuits. This has contributed to the misconception that most applications are feasible only through VLSI circuits and cannot be implemented using quantum circuits. To challenge this view, we present a mixed-signal quantum circuit framework incorporating three novel methods that reduce circuit complexity and improve noise tolerance. In a 12 qubit case study comparing our design with JP Morgan's option pricing circuit, we reduced the gate count from 4095 to 392, depth from 2048 to 6, and error rate from 25.86\% to 1.64\%. Our design combines analog simplicity with digital flexibility and synthesizability, demonstrating that quantum circuits can effectively leverage classical VLSI techniques, such as those enabled by Synopsys Design Compiler to address current quantum design limitations.