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Can Bell states be reexpressed with respect to arbitrary local bases?

A maximally entangled state like $|00\rangle+|11\rangle$ can be generally written as $$\frac{|00\rangle+|11\rangle}{\sqrt2} = |u_0, \bar u_0\rangle+|u_1,\bar u_1\rangle$$ for any pair of orthonormal ...
glS's user avatar
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2 votes

Can Bell states be reexpressed with respect to arbitrary local bases?

For your first question: If you pick a change of basis $U$ such that $|b_0\rangle = U|0\rangle$ and $|b_1\rangle = U|1\rangle$, then you are asking for conditions such that $$ (U\otimes U)|\Phi^+\...
forky40's user avatar
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How to modify the quantum circuit to do superdense coding with the state $|00\rangle-|11\rangle$?

In order to encode two bits $x, z\in\{0,1\}$ using vanilla superdense coding protocol, we apply two Paulis to one of the qubits in a Bell pair \begin{align} |\beta_{zx}\rangle=(Z^zX^x\otimes I)|\beta_{...
Adam Zalcman's user avatar
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How to modify the quantum circuit to do superdense coding with the state $|00\rangle-|11\rangle$?

It could be, yes, depending on whether you want the sender or the receiver to adjust their part of the protocol. Either of them applying a $Z$ gate to their half of the pair before proceeding with the ...
Mariia Mykhailova's user avatar

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