The Argument against Quantum Computers
Abstract
We give a computational complexity argument against the feasibility of quantum computers. We identify a very low complexity class of probability distributions described by noisy intermediate-scale quantum computers, and explain why it will allow neither good-quality quantum error-correction nor a demonstration of "quantum supremacy." Some general principles governing the behavior of noisy quantum systems are derived. Our work supports the "physical Church thesis" studied by Pitowsky (1990) and follows his vision of using abstract ideas about computation to study the performance of actual physical computers.
Cite
@article{arxiv.1908.02499,
title = {The Argument against Quantum Computers},
author = {Gil Kalai},
journal= {arXiv preprint arXiv:1908.02499},
year = {2020}
}
Comments
To appear in: Hemmo, Meir and Shenker, Orly (eds.) Quantum, Probability, Logic: Itamar Pitowsky's Work and Influence, Springer, Nature (2019), forthcoming