Quantum circuits with classical channels and the principle of deferred measurements
Abstract
We define syntax and semantics of quantum circuits, allowing measurement gates and classical channels. We define circuit-based quantum algorithms and prove that, semantically, any such algorithm is equivalent to a single measurement that depends only on the underlying quantum circuit. Finally, we use our formalization of quantum circuits to state precisely and prove the principle of deferred measurements.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2021
- DOI:
- 10.48550/arXiv.2107.08324
- arXiv:
- arXiv:2107.08324
- Bibcode:
- 2021arXiv210708324G
- Keywords:
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- Quantum Physics;
- Computer Science - Information Theory;
- Computer Science - Logic in Computer Science;
- Mathematical Physics