hw02 - February 3, 2005 Physics 681-481; CS 483: Assignment...

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February 3, 2005 Physics 681-481; CS 483: Assignment #2 (please hand in after the lecture, Thursday, February 17th) I. Constructing a spooky 2-qubit state Section A3 of the appendix to chapter 1 describes the strange properties of a pair of qubits in the entangled state | Φ i given by (1.129). 1 It follows from (1.131) that | Φ i = ( H H ) | Ψ i , (1) where | Ψ i = 1 3 ( | 00 i + | 01 i + | 10 i ) , (2) so if you could produce a pair of qubits in the state | Ψ i you could easily get them into the state Φ by sending each through a Hadamard gate. This question is about how to get a pair of qubits into the state | Ψ i , if they are initially in the standard state | 00 i (which is easily prepared with the aid of measurement gates and NOT gates, as described in chapter 1. How would you go about changing the state of the qubits from the easily prepared and boring state | 00 i into the exotic state | Ψ i , if the gates that are available to you are restricted by the following rules?
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hw02 - February 3, 2005 Physics 681-481; CS 483: Assignment...

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