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4. /25 Suppose Alice sends Bob one of two states: 0) or (4) = a[0) + B11), with a + 0. Bob is going to

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4. /25 Suppose Alice sends Bob one of two states: 0) or (4) = a[0) + B11), with a + 0. Bob is going to measure to try to figure out which state Alice sent. He picks an orthogonal basis {\00), \01)}, and will conclude Alice prepared 10) if he gets outcome |0o) and conclude Alice prepared |) if he gets outcome ||01). Show that no matter which basis Bob measures in, he will always have some chance of misidentifying the state prepared. 4. /25 Suppose Alice sends Bob one of two states: 0) or (4) = a[0) + B11), with a + 0. Bob is going to measure to try to figure out which state Alice sent. He picks an orthogonal basis {\00), \01)}, and will conclude Alice prepared 10) if he gets outcome |0o) and conclude Alice prepared |) if he gets outcome ||01). Show that no matter which basis Bob measures in, he will always have some chance of misidentifying the state prepared

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