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Suppose Alice sends Bob one of two states: 10) or lo) = a10) + B|1), with a 0. Bob is going to measure to try to figure out which state Alice sent. He has his own orthogonal basis {o), ₁)}. He concludes that Alice prepared |0) if he gets outcome ) and that she prepared ) if he gets outcome 1). Show that no matter which basis Bob measures in, he will always have some chance of misidentifying Alice's prepared state.

Suppose Alice sends Bob one of two states: 10) or lo) = a10) + B|1), with a 0. Bob is going to measure to try to figure out which state Alice sent. He has his own orthogonal basis {o), ₁)}. He concludes that Alice prepared |0) if he gets outcome ) and that she prepared ) if he gets outcome 1). Show that no matter which basis Bob measures in, he will always have some chance of misidentifying Alice's prepared state.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Suppose Alice sends Bob one of two states: 0) or lo) = a[0) + B|1), with a 0. Bob is going to measure to try to figure out which state Alice sent. He has his own orthogonal basis {0), ₁)}. He concludes that Alice prepared |0) if he gets outcome o) and that she prepared |⁄) if he gets outcome ₁). Show that no matter which basis Bob measures in, he will always have some chance of misidentifying Alice's prepared state.
Transcribed Image Text:Suppose Alice sends Bob one of two states: 0) or lo) = a[0) + B|1), with a 0. Bob is going to measure to try to figure out which state Alice sent. He has his own orthogonal basis {0), ₁)}. He concludes that Alice prepared |0) if he gets outcome o) and that she prepared |⁄) if he gets outcome ₁). Show that no matter which basis Bob measures in, he will always have some chance of misidentifying Alice's prepared state.
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Given thatalice prepared states:-|0>  and |ϕ>=α|0>+β|1>with α≠0

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