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quant-ph2023
Minimal Equational Theories for Quantum Circuits
Alexandre Clément, Noé Delorme, Simon Perdrix
We introduce the first minimal and complete equational theory for quantum circuits. Hence, we show that any true equation on quantum circuits can be derived from simple rules, all…
quant-ph2023
Quantum Circuit Completeness: Extensions and Simplifications
Alexandre Clément, Noé Delorme, Simon Perdrix +1
Although quantum circuits have been ubiquitous for decades in quantum computing, the first complete equational theory for quantum circuits has only recently been introduced. Comple…