Superdense coding: Difference between revisions

Revision as of 15:40, 2 September 2021

Revision as of 15:41, 2 September 2021

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:<math>|B_{01}\rangle = \frac{1}{\sqrt{2}}(|0_A0_B\rangle - |1_A1_B\rangle)</math>

4. If, instead, Alice wants to send the classical two-bit string 11 to Bob, then she applies the quantum gate <math>Z*X = iY</math> to her qubit, so that the resultant entangled state becomes

:<math>|B_{11}\rangle = \frac{1}{\sqrt{2}}(|0_A1_B\rangle -|1_A0_B\rangle ) </math>

The matrices <math>X</math> and <math>Z</math> are two of the [[Pauli matrices]]. The quantum states <math>|\Phi ^{+}\rangle</math>, <math>|\Psi ^{+}\rangle</math>, <math>|\Phi ^{-}\rangle</math> and <math>|\Psi ^{-}\rangle</math> (or, respectively, <math>B_{00}, B_{01}, B_{10}</math> and <math>B_{11}</math>) are the [[Bell states]].

=== Sending ===