February 27, 2017

Homework Help: Quantum Physics

Posted by qwerty on Monday, March 11, 2013 at 11:15pm.

Suppose we are given a single qubit which is either in the state |u> = cos(pi/8) |0> + sin(pi/8) |1> or |v> = cos(3pi/8) |0> + sin(3pi/8) |1>. We measure this qubit in the standard basis and guess u if the outcome is 0 and guess v if the outcome is 1.

(a) What is the probability that you guess right?

(b) Is there a measurement which is correct more often?

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