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Quantum Teleportation: Difference between revisions
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#This step is a pre-preparation step which should be run before the protocol starts. The state of all the three particles are as follows: | #This step is a pre-preparation step which should be run before the protocol starts. The state of all the three particles are as follows: | ||
<math>|\psi\rangle_O \otimes |\Phi^+\rangle_{AB} = (\alpha|0\rangle_O + \beta|1\rangle_O) \otimes \frac{1}{\sqrt{2}} (|0\rangle_A|0\rangle_B + |1\rangle_A|1\rangle_B)</math></br> | <math>|\psi\rangle_O \otimes |\Phi^+\rangle_{AB} = (\alpha|0\rangle_O + \beta|1\rangle_O) \otimes \frac{1}{\sqrt{2}} (|0\rangle_A|0\rangle_B + |1\rangle_A|1\rangle_B)</math></br> | ||
In order to make the next step more clear, the above three-qubit states can be written in [[Bell basis]] (spaned by four two-qubit Bell states <math>|\Phi^+\rangle | In order to make the next step more clear, the above three-qubit states can be written in [[Bell basis]] (spaned by four two-qubit Bell states <math>|\Phi^+\rangle</math>, <math>|\Phi^-\rangle</math>, <math>|\Psi^+\rangle</math> and <math>|\Psi^-\rangle</math>)</br></br> | ||
<math>|\psi\rangle_O \otimes |\Phi^+\rangle_{AB} = \frac{1}{2} [|\Phi^+\rangle_{AO} \otimes (\alpha |0\rangle + \beta |1\rangle)_B + |\Phi^-\rangle_{AO} \otimes (\alpha |0\rangle - \beta |1\rangle)_B + |\Psi^+\rangle_{AO} \otimes (\beta |0\rangle + \alpha |1\rangle)_B + |\Psi^-\rangle_{AO} \otimes (\beta |0\rangle - \alpha |1\rangle)_B]</math></br></br> | <math>|\psi\rangle_O \otimes |\Phi^+\rangle_{AB} = \frac{1}{2} [|\Phi^+\rangle_{AO} \otimes (\alpha |0\rangle + \beta |1\rangle)_B + |\Phi^-\rangle_{AO} \otimes (\alpha |0\rangle - \beta |1\rangle)_B + |\Psi^+\rangle_{AO} \otimes (\beta |0\rangle + \alpha |1\rangle)_B + |\Psi^-\rangle_{AO} \otimes (\beta |0\rangle - \alpha |1\rangle)_B]</math></br></br> | ||
'''<u>Stage 2</u>''' Local Measurement by Sender(A) | '''<u>Stage 2</u>''' Local Measurement by Sender(A) | ||