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## 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?

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