3 papers
quant-ph2026
A Complete Equational Theory for Real-Clifford+CH Quantum Circuits
Alexandre Clément
We introduce a complete equational theory for the fragment of quantum circuits generated by the real Clifford gates plus the two-qubit controlled-Hadamard gate. That is, we give a…
quant-ph2024
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-ph2024
Resource Optimisation of Coherently Controlled Quantum Computations with the PBS-calculus
Alexandre Clément, Simon Perdrix
Coherent control of quantum computations can be used to improve some quantum protocols and algorithms. For instance, the complexity of implementing the permutation of some given un…