2024/09/30 by Zhongyi Ni, Yusheng Zhao, Ni, Zhong-Yi +3
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena
paper · pdf · doi:10.48550/arxiv.2409.20025
This study presents a roadmap towards utilizing a single arbitrary gate for universal quantum computing. Since two decades ago, it has been widely accepted that almost any single arbitrary gate with qubit number >2 is universal. Utilizing a single arbitrary gate for compiling is beneficial for systems with limited degrees of freedom, e.g. the scattering based quantum computing schemes. However, how to efficiently compile the wanted gate with a single arbitrary gate, and finally achieve fault-tolerant quantum computing is unknown. In this work, we show almost any target gate can be compiled to precision ε with a circuit depth of approximately log(ε-1) with an improved brute-force compiling method. Under the assumption of reasonable classical resource, we show the gate imperfection can be lowered to 10-3. By treating the imperfection as coherent error, we show that the error can be further reduced by roughly two orders of magnitude with a measurement-free quantum error correction method.