<transcript><audio_23>the IQ pness of this circuit gives it some non-robustness to noise so the the main result here is a polinomial Time classical simulation algorithm for sampling from the output</transcript><transcript><audio_24>distribution of any iqp circuit Beyond an o of1 depth and single Cubit poly nois of constant strength is intersperse between Gates so to place this in the context of existing results uh imagine having circuit depth on this axis and</transcript><transcript><audio_25>what's been shown before like 20 years ago actually is that uh if you go past the depth of log n your distribution with this uncorrected noise model becomes close to uniform so you're</transcript><transcript><audio_26>already trivially classically simulatable um and surprisingly there's not a result a lot of results that go to very far below this depth threshold so in the case of iqp circuits we know that</transcript> the IQ pness of this circuit gives it some non-robustness to noise so the the main result here is a polinomial Time classical simulation algorithm for sampling from the output distribution of any iqp circuit Beyond an o of1 depth and single Cubit poly nois of constant strength is intersperse between Gates so to place this in the context of existing results uh imagine having circuit depth on this axis and what's been shown before like 20 years ago actually is that uh if you go past the depth of log n your distribution with this uncorrected noise model becomes close to uniform so you're already trivially classically simulatable um and surprisingly there's not a result a lot of results that go to very far below this depth threshold so in the case of iqp circuits we know that
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