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Quantum Teleportation: Difference between revisions
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→Pseudo Code
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==Pseudo Code== | ==Pseudo Code== | ||
*'''Input:''' The qubit <math>|\psi\rangle</math> is the to-be-send state which the first party(Sender) wants to transfer to the second party (Receiver). The quantum state can be written generally in standard basis as: | *'''Input:''' The qubit <math>|\psi\rangle</math> is the to-be-send state which the first party(Sender) wants to transfer to the second party (Receiver). The quantum state can be written generally in standard basis as: | ||
<math>|\psi\rangle = \alpha |0\rangle_{O} + \beta |1\rangle_{O}</math>, <math>\alpha</math> and <math>\beta</math> coefficients are unknown to the Sender.</br> | <math>|\psi\rangle = \alpha |0\rangle_{O} + \beta |1\rangle_{O}</math>, <math>\alpha</math> and <math>\beta</math> coefficients are unknown to the Sender.</br></br> | ||
'''<u>Stage</u>''' Share entangled qubits (EPR pair) | '''<u>Stage 1</u>''' Share entangled qubits (EPR pair)</br> | ||
# Generate an EPR pair (or a maximally-entangled two-qubit sate) and give one qubit to the sender(A) and one to the receiver(B). The shared EPR state between the two parties is described as:</br> | # Generate an EPR pair (or a maximally-entangled two-qubit sate) and give one qubit to the sender(A) and one to the receiver(B). The shared EPR state between the two parties is described as:</br> | ||
<math>|\Phi^+\rangle_{AB} = \frac{1}{\sqrt{2}} (|0\rangle_A|0\rangle_B + |1\rangle_A|1\rangle_B)</math> | <math>|\Phi^+\rangle_{AB} = \frac{1}{\sqrt{2}} (|0\rangle_A|0\rangle_B + |1\rangle_A|1\rangle_B)</math> | ||
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# '''if''' he receives <math>11 \rightarrow</math> he performs <math>ZX</math> (Pauli X then a Pauli Z) | # '''if''' he receives <math>11 \rightarrow</math> he performs <math>ZX</math> (Pauli X then a Pauli Z) | ||
*As a result, the state of the receiver will be: <math>|\psi\rangle_B = \alpha|0\rangle + \beta |1\rangle</math> | *As a result, the state of the receiver will be: <math>|\psi\rangle_B = \alpha|0\rangle + \beta |1\rangle</math> | ||
==Further Information== | ==Further Information== | ||