Symbolic Reasoning About Quantum Circuits in Coq

JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY(2021)

引用 1|浏览20
暂无评分
摘要
A quantum circuit is a computational unit that transforms an input quantum state to an output state. 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.
更多
查看译文
关键词
quantum circuit, symbolic reasoning, Dirac notation, Coq
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络