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20250190837. Lower-boun (Microsoft Technology Licensing, LLC)

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LOWER-BOUNDING DISTANCE OF STABILIZER CHANNEL SEQUENCE

Abstract: a computing system including one or more processing devices configured to receive a stabilizer channel sequence of three or more stabilizer channels and respective fault sets. the one or more processing devices compute a lower-bound channel distance of the stabilizer channel sequence at least in part by computing lower-bound channel distances of compositions of adjacent pairs of stabilizer channels. for a stabilizer channel and a plurality of partition timestep counts, computing the lower-bound channel distance further includes receiving an indication of whether there exists a partition of the fault set of that stabilizer channel that has that partition timestep count and for which the stabilizer channel is time-local. computing the lower-bound channel distance further includes selecting a lowest value among the lower-bound channel distances of the compositions and each of the partition timestep counts that has a time-locality-satisfying partition. the one or more processing devices output the lower-bound channel distance.

Inventor(s): Vadym KLIUCHNIKOV, Michael Edward BEVERLAND

CPC Classification: G06N10/70 (Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation)

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