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We have a qubit in the state $|\psi \rangle= √3/2 |0\rangle + 1/2 |1\rangle$, which we want to measure in the $cos \theta\ |\theta\rangle + sin \theta |1\rangle, sin \theta |\theta\rangle - cos θ |1\rangle$ basis. In order for the two possible outcomes to be equiprobable, what should be the value of $\theta$ in degrees?

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Hi qwerty. Welcome to Physics.SE. This site uses an unique TeX markup style called MathJax. This markup is very useful for understanding math equations and parameters. Please have a look here for an intro or our FAQ for more info. For now, I'll help revising your post. –  Waffle's Crazy Peanut Feb 13 '13 at 17:20
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Also this looks like a homework problem; these should be tagged as such and you should tell us what you've tried so far to solve the problem. –  wsc Feb 13 '13 at 18:35
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Welcome to Physics! Please see our homework policy. We expect homework problems to have some effort put into them, and deal with conceptual issues. If you edit your question to explain (1) What you have tried, (2) the concept you have trouble with, and (3) your level of understanding, I'll be happy to reopen this. (Flag this message for ♦ attention with a custom message, or reply to me in the comments with @Manishearth to notify me) –  Manishearth Feb 13 '13 at 18:53
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closed as too localized by Manishearth Feb 13 '13 at 18:53

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