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Center for Nonlinear Studies |
For a joint measurement on a pair of spatially separated quantum objects, one can ask how much entanglement is needed to carry out the measurement exactly, using only local operations and classical communication. In this talk I focus on a particular orthogonal measurement on two qubits with partially entangled eigenstates, for which we can find upper and lower bounds on the entanglement cost. The lower bound implies that the entanglement required to perform the measurement is strictly greater than the average entanglement of the eigenstates. I also consider a closely related eight-outcome measurement for which we can compute the cost exactly. Even though these two measurements are very similar, their costs are quite different, raising a question as to what characteristics of the relationships among the states of a quantum measurement determine its cost.
Host: Wojciech Zurek