Thread by @fgrosshans

Now at #IWQNS, Rafael N. Alexander from @UNM on quantum computing with continuous variable clusters
#LTQI

@UNM Rafael N. Alexander: Once you have a graph states allows you to do quantum computing with local operations, through measurement based quantum computation (MBQC). ∃ a sort of dictionnary translating circuits into graphical operations.
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@UNM RAfael N. Alexander: 2 approahces for qauntum computing with bosonic modes:
1 = «Where is my photon ?», aka linear photonic computing
2 = «What is the state of my mode/oscillator ?» a.k.a. this talk
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@UNM Rafael N. Alexander: Gaussian pure states, up to displacement and phase are described by a matrix Z=V+iU st the mutlimode wavefunction Ψ(q)∝exp(-iq^T Z q). It corresponds to a graph, with iU part corresponding to loops, which can be neglected for ∞ squeezing #IWQNS #LTQI

@UNM Rafael N. Alexander: Cluster states can be generated trough suitably pumped OPO. His paper on a proposal to do so: arxiv:1903.03918
arxiv.org/abs/1903.03918
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@UNM Rafael N. Alexander: Non Gaussian operations are needed. GKP states are good state for this: arXiv:1903.00012 arxiv.org/abs/1903.00012 . The problem is how to make them !
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@UNM @threadreaderapp : Please kindly unroll