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Distinguishing Hyperentangled Bell States with Linear Evolution and Local Measurement

Theresa Lynn, Harvey Mudd College

(Session 9 : Saturday from 11:00 - 11:45)

Abstract. A measurement of the entangled state, or Bell state, of two particles is essential to numerous protocols in quantum communication, such as quantum teleportation, entanglement swapping, and quantum dense coding. I will discuss limits on Bell-state distinguishability for an apparatus that uses linear evolution and local measurement (LELM). For two identical particles entangled in n qubit variables, I present a simple proof that, of the 4^n hyper-entangled Bell states, 2^(n+1)-1 can be distinguished with LELM. This result generalizes well-known results for n =1,2, and gives us physical intuition with which to understand those limits. I will also discuss extensions beyond the case of qubit variables.