Hannover 2016 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 23: Quantum Information: Concepts and Methods IV
Q 23.6: Talk
Tuesday, March 1, 2016, 15:45–16:00, e214
One-to-one mapping between steering and joint measurability problems — •Roope Uola1, Costantino Budroni1, Otfried Gühne1, and Juha-Pekka Pellonpää2 — 1Universität Siegen, Siegen, Germany — 2Turku Centre for Quantum Physics, Turku, Finland
Quantum steering refers to a quantum information task where one party, say Alice, tries to remotely steer another party's, say Bob's, state by performing local measurements on her half of a bipartite system. Two necessary ingredients for steering are entanglement and incompatibility of Alice's measurements. In particular, it has been recently proven that for the case of pure states of maximal Schmidt rank the problem of steerability is equivalent to the problem of joint measurability for Alice's observables. We show that such an equivalence holds in general, namely, the steerability of any assemblage can always be formulated as a joint measurability problem, and vice versa. We use this connection to introduce steering inequalities from joint measurability criteria and develop quantifiers for the incompatibility of measurements.