Quantum circuit simulation of superchannels

TL;DR

This paper presents a quantum circuit simulation algorithm for superchannels, leveraging convex decomposition to reduce circuit costs, demonstrated through high-accuracy numerical simulations suitable for current experimental platforms.

Contribution

It introduces a novel quantum superchannel simulation algorithm based on convex decomposition, enhancing efficiency and practical applicability.

Findings

Reduced circuit cost through convex decomposition

High-accuracy numerical simulation of qubit superchannels

Applicable to current experimental quantum platforms

Abstract

Quantum simulation is one of the central discipline to demonstrate the power of quantum computing. In recent years, the theoretical framework of quantum superchannels has been developed and applied widely as the extension of quantum channels. In this work, we study the quantum circuit simulation task of superchannels. We develop a quantum superchannel simulation algorithm based on the convex decomposition into sum of extreme superchannels, which can reduce the circuit cost. We demonstrate the algorithm by numerical simulation of qubit superchannels with high accuracy, making it applicable to current experimental platforms.