5 citations · 9 across the 5 of their papers we have counts for
5 papers
Quantum circuits generating four-qubit maximally entangled states
Marc Bataille
We describe quantum circuits generating four-qubit maximally entangled states, the amount of entanglement being quantified by using the absolute value of the Cayley hyperdeterminan…
Reduced quantum circuits for stabilizer states and graph states
Marc Bataille
We start by studying the subgroup structures underlying stabilizer circuits and we use our results to propose a new normal form for stabilizer circuits. This normal form is compute…
Reducing stabilizer circuits without the symplectic group
Marc Bataille
We start by studying the subgroup structures underlying stabilizer circuits. Then we apply our results to provide two normal forms for stabilizer circuits. These forms are computed…
Quantum circuits of CNOT gates
Marc Bataille
We study in detail the algebraic structures underlying quantum circuits generated by CNOT gates. Our results allow us to propose polynomial-time heuristics to reduce the number of…
Quantum circuits of c -- Z and SWAP gates optimization and entanglement
Marc Bataille, Jean-Gabriel Luque
We have studied the algebraic structure underlying the quantum circuits composed by $\cZ$ and $\Swap$ gates. Our results are applied to optimize the circuits and to understand the…