Determining the maximum distinguishability for generalized Bell states with linear evolution local measurement devices

Presenting Author: Thomas Schneider, Harvey Mudd College
Contributing Author(s): Theresa Lynn

We investigate the maximum distinguishability of high dimensional Bell states using LELM devices. It has been shown that projective LELM devices cannot distinguish all four qubit Bell states; they can only reliably distinguish three. In the case of bosonic qutrit Bell states, it has been shown that only three of the nine Bell states are distinguishable. By analyzing a group action that preserves the distinguishability of the possible input sets, we are able to greatly reduce the number of possible inputs that need to be checked. Moreover, we provide insight into why the distinguishability question is more difficult to answer for Bell states of fermions as opposed to bosons or non-identical particles. We discuss distinguishability of d=4 qudit Bell states and compare to the previously solved case of hyperentangled Bell states in two (or n) qubit variables.

(Session 5 : Sunday from 5:00pm - 7:00pm)


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