Symbolic Reasoning about Quantum Circuits in Coq
Programming Languages
2021-12-22 v4 Logic in Computer Science
Quantum Physics
Abstract
A quantum circuit is a computational unit that transforms an input quantum state to an output one. A natural way to reason about its behavior is to compute explicitly the unitary matrix implemented by it. However, when the number of qubits increases, the matrix dimension grows exponentially and the computation becomes intractable. In this paper, we propose a symbolic approach to reasoning about quantum circuits. It is based on a small set of laws involving some basic manipulations on vectors and matrices. This symbolic reasoning scales better than the explicit one and is well suited to be automated in Coq, as demonstrated with some typical examples.
Cite
@article{arxiv.2005.11023,
title = {Symbolic Reasoning about Quantum Circuits in Coq},
author = {Wenjun Shi and Qinxiang Cao and Yuxin Deng and Hanru Jiang and Yuan Feng},
journal= {arXiv preprint arXiv:2005.11023},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1802.02648 by other authors