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Ignorance is strength: Quantum measurements in a non-local world

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Date and time Jun 15, 2017
from 04:10 PM to 05:00 PM
Location MP 102

Aharon Brodutch

University of Toronto

In quantum theory we often use the term 'observable' interchangeably with 'Hermitian operator'. However, not all Hermitian operators correspond to quantities that can be `observed' in the usual quantum mechanical sense, i.e a projective measurement.  Causality, the finite speed of light, and measurement-disturbance relations, impose constraint on the types of non-local observables that can be measured without additional resources such as communication (i.e time) and/or entanglement.  Unfortunately, there are no generic methods to identify and quantify the types of resources necessary to measure a specific non-local observable while maintaining ignorance about the local properties.  I will present a number of cases where the resource requirements are surprising, and present one probabilistic protocol for an instantaneous measurement of an important class of observables.

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