Quantum physics

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1] Let |ψ⟩=(2+i/3)|0>−(2/3)|1>. If we measure |ψ⟩ in the basis |u⟩=(1+i/2)|0>+(1−i/2)|1>, |u⊥>=1−i/2|0>−1+i/2|1>, what is the probability our outcome is |u>?

2]Suppose we are trying to solve Simon's problem with n=4. We ran 4 iterations of Simon's algorithm and obtained 0000, 1101, 1010, and 0110. What is the secret string s? (Assume that s is not the all-zero string 0000.)

3]What is the superposition that results if you apply the Hadamard transform H⊗n to the state 12√(|0n>+|1n>)? (Here, |0n⟩:=|00⋯0n⟩ and |1n⟩:=|11⋯1n⟩.)

  • Quantum physics -

    any answers for Q1..

  • Quantum physics -

    any hint or help for Q1

  • Quantum physics -

    yup, but i need help in 4/9/12 any one would do

  • Quantum physics -

    Anyone please can help with Q1.. have only one option left!

  • Quantum physics -

    Any help for Q3, posted above here

  • Quantum physics -

    Ans to q2 above, i can help with the other 2q's

  • Quantum physics -

    If someone posts an answer for number 1 and 3 (with an explantion hopefully), I can give the correct answer for number 2

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