Entanglement Cost of Nonlocal Measurements

Details Entanglement Cost of Nonlocal Measurements Entanglement Cost of Nonlocal Measurements

2008-09-12

arxiv.org/abs/0809.2264v4

Phys. Rev. A 80, 012313 (2009)

Physics

Quantum Physics

14 pages; new result in v4: cost of an arbitrary measurement invariant under local Pauli operations

Scientific paper

For certain joint measurements on a pair of spatially separated particles, we ask how much entanglement is needed to carry out the measurement exactly. For a class of orthogonal measurements on two qubits with partially entangled eigenstates, we present upper and lower bounds on the entanglement cost. The upper bound is based on a recent result by D. Berry [Phys. Rev. A 75, 032349 (2007)]. The lower bound, based on the entanglement production capacity of the measurement, implies that for almost all measurements in the class we consider, the entanglement required to perform the measurement is strictly greater than the average entanglement of its eigenstates. On the other hand, we show that for any complete measurement in d x d dimensions that is invariant under all local Pauli operations, the cost of the measurement is exactly equal to the average entanglement of the states associated with the outcomes.

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