Quantum circuits with classical channels and the principle of deferred measurements

Yuri Gurevich; Andreas Blass

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arXiv · 2107.08324

Quantum circuits with classical channels and the principle of deferred measurements

Yuri Gurevich·Andreas Blass

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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.

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quant-ph cs.IT cs.LO math-ph math.IT math.MP

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Yuri Gurevich, Andreas Blass. 2021-07-17. Quantum circuits with classical channels and the principle of deferred measurements. https://arxiv.org/abs/2107.08324

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