Quantum circuits with classical channels and the principle of deferred measurements

17 Jul 2021  ·  Yuri Gurevich, Andreas Blass ·

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. read more

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Quantum Physics Information Theory Logic in Computer Science Mathematical Physics Information Theory Mathematical Physics