Optical cluster state: Difference between revisions

Revision as of 22:41, 14 December 2017

Revision as of 22:44, 14 December 2017

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On a [[silicon photonic]] chip, one of the most common platforms for implementing LOQC, there are two typical choices for encoding [[quantum information]], though many more options exist.<ref>Rudolph, [https://arxiv.org/abs/1607.08535 "Why I am optimistic about the silicon-photonic route to quantum computing"], ''APL Photonics'', 2017.</ref> Photons have useful degrees of freedom in the spatial modes of the possible photon paths or in the polarization of the photons themselves. The way in which a cluster state is generated varies with which encoding has been chosen for implementation.

Storing information in the spatial modes of the photon paths is often referred to as dual rail encoding. In a simple case, one might consider the situation where a photon has two possible paths, a horizontal path with [[laddercreation and annihilation operators|creation operator]] <math>a^\dagger</math> and a vertical path with creation operator <math>b^\dagger</math>, where the logical zero and one states are then represented by

::<math>a^\dagger |0_a,0_b\rangle=|1_a,0_b\rangle=|0\rangle_L</math>