Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control
Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control
We derive expressions for the invariant length element and measure for the simple compact Lie group SU(4) in a coordinate system particularly suitable for treating entanglement in quantum information processing. Using this metric, we compute the invariant volume of the space of two-qubit perfect entanglers. We find that this volume …