A Reorder Trick for Decision Diagram Based Quantum Circuit Simulation

TL;DR

This paper introduces a reorder trick that significantly accelerates decision diagram based quantum circuit simulation, especially for Quantum Phase Estimation circuits, achieving speedups up to 313.6 times.

Contribution

The paper proposes a simple yet effective reorder trick that enhances the performance of decision diagram based quantum circuit simulators for specific circuit classes.

Findings

Achieved up to 313.6x speedup in Quantum Phase Estimation circuit simulation.

Identified circuit classes where decision diagram simulators underperform without the trick.

Demonstrated the effectiveness of the reorder trick through preliminary evaluations.

Abstract

Quantum computing is a hotspot technology for its potential to accelerate specific applications by exploiting quantum parallelism. However, current physical quantum computers are limited to a relatively small scale, simulators based on conventional machines are significantly relied on to perform quantum computing research. The straightforward array-based simulators require a tremendous amount of memory that increases exponentially with respect to the number of qubits. To mitigate such computing resource concerns, decision diagram based simulators were proposed that can efficiently exploit data redundancies in quantum states and operations. In this paper, we study two classes of quantum circuits on which the state-of-the-art decision diagram based simulators failed to perform well in terms of simulation time. We also propose a simple and powerful reorder trick to boost the simulation of such quantum circuits. Preliminary evaluation results demonstrate the usefulness of the proposed trick. Especially, for the Quantum Phase Estimation circuits, the proposed trick achieved speedups up to 313.6x compared to a state-of-the-art approach that relies on an auxiliary tool to optimize simulation order.