Need help understanding question regarding Bell states

  • Thread starter Ocifer
  • Start date
  • #1
32
0

Homework Statement


Basically, in a homework question, I'm presented with the definition of bell states and asked to show some elementary properties. I've been able to show they form an orthonormal basis, and express them in terms of the usual basis, |00>, |01> |10> |11>.

I am then asked,

"Find a quantum circuit that performs the Bell measurement (measurement of two qubits
in the Bell basis) in terms of single qubit unitary gates, CNOT gates, and single qubit
measurements in the {|0> , |1> } basis."

Homework Equations



[itex] | \psi_{xy} \rangle = CNOT_{12}H_1 | xy \rangle [/itex]


The Attempt at a Solution



I don't understand what is being asked of me. I can figure out a circuit which encodes any of the normal basis states |00>, |01> |10> |11> into its corresponding Bell basis, state. This is a circuit with only two wires (since it's a two qubit space), but do I simply then add a single qubit "M" (measurement) gate to each wire? Is that all that is being asked, or is there more I'm not understanding?
 
Last edited:

Answers and Replies

Related Threads on Need help understanding question regarding Bell states

Replies
5
Views
645
  • Last Post
Replies
1
Views
1K
Replies
8
Views
954
Replies
5
Views
4K
Replies
2
Views
1K
Replies
5
Views
8K
Replies
2
Views
482
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
5
Views
1K
Top