Quantum circuits with classical channels and the principle of deferred measurements
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.
PDF AbstractCategories
Quantum Physics
Information Theory
Logic in Computer Science
Mathematical Physics
Information Theory
Mathematical Physics