Quantum Physics
posted by qwerty on .
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?
Yes
No

b no

a) 0.853

a) What quantum state do you have to input in order to get output 00⟩ ?
b) What quantum state do you have to input in order to get output 11⟩ ? 
(c) What quantum state do you have to input in order to get output 1/2ã(00⟩+11⟩)?

Helppp

u are all cheaters on the exam and will be reported.

lolol at Anonymous

:D im glad someone has a sense of humour..

If the first qubit is in the state 2/sqrt(5)0>  1/sqrt(5)1> and the second qubit is in the state 1/sqrt(2)0>  i/sqrt(2)1>, what is the state of the composite system?