Quantum circuits of $$\texttt {CNOT}$$ gates: optimization and entanglement

Marc Bataille, Jean-Gabriel Luque

Abstract We study the algebraic structure underlying the quantum circuits composed by and gates. Our results are applied to optimize the circuits and to understand the emergence of entanglement when a circuit acts on a fully factorized state.

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 emergence of entanglement when a circuit acts on a fully factorized state.

Belal Ehsan Baaquie, L. C. Kwek

Wolfgang Scherer

Bataille, Marc, 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 emergence of entanglement when a circuit acts on a fully factorized state.