Optical cluster state: Difference between revisions

Revision as of 19:42, 11 June 2018

Revision as of 08:59, 30 August 2018

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</math>.

for <math>m=0,1</math> denoting the measurement outcome as either the <math>+1</math> eigenstate of Pauli-X for <math>m=0</math> or the <math>-1</math> eigenstate for <math>m=1</math>. A two qubit state <math>|\phi\rangle</math> connected by a pair of controlled-Z operations to the state <math>CZ|+\rangle^{\otimes 2}</math> yeildsyields a two-qubit operation on the teleported <math>|\phi\rangle</math> state after measuring the original qubits:

::<math>(\langle+|Z^{m_1}\otimes\langle+|Z^{m_2}\otimes I)CZ_{1,3}CZ_{2,4}(|\phi\rangle\otimes CZ|+\rangle^{\otimes 2})=\frac{1}{2}CZ(HZ^{m_1}\otimes HZ^{m_2})|\phi\rangle</math>.