Optical cluster state: Difference between revisions

Revision as of 23:48, 14 December 2017

Revision as of 23:49, 14 December 2017

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Once a cluster state has been successfully generated, computation can be done with the resource state directly by applying measurements to the qubits on the lattice. This is the model of [[one-way quantum computer|measurement-based quantum computation]] (MQC), and it is equivalent to the [[quantum circuit|circuit model]].

Logical operations in MQC come about from the byproduct operators that occur during [[quantum teleportation]]. For example, given a single qubit state <math>|\psi\rangle</math>, one can connect this qubit to a plus state (<math>|+\rangle=\frac{1}{\sqrt{2}}(|0\rangle+|1\rangle)</math>) via a two-qubit controlled-Z operation. Then, upon measuring the first qubit in the Pauli-X basis, the original state of the first qubit is teleported to the second qubit with a measurement outcome dependent extra rotation, which one can see from the partial inner product of the measurement acting on the two-qubit state:

::<math>