Speaker
Description
Quantum entanglement is well-understood in a two-qubit system. Concurrence is a scalar quantity that measures the degree of entanglement between two qubits. For higher dimensional systems, however, there has yet to be an established entanglement measure. This talk will attempt to generalize the idea of concurrence to qutrit, qudit, and multi-partite systems. In the qutrit case, we examine a close analog of the qubit concurrence, which involves a sum of minors. We then compare this to the Bloch sphere formulation of concurrence as proposed by Alan Barr. In a three-qubit system, we evaluate a measure proposed by Wooters, known as the three-tangle, and compare it to an entanglement triangle as outlined by Sakurai–Spannowsky. Finally, we attempt to generalize this to any n-index tensor and discuss the condition for such a tensor to be rank 1. Our goal is to both define GME (genuine multi-partite entanglement) as well as propose a unique measure of entanglement of any n-dimensional system.
