| CPC G06F 11/25 (2013.01) [G06F 11/1004 (2013.01); G06N 3/08 (2013.01); G06N 10/40 (2022.01); G06N 10/70 (2022.01); G06F 3/0604 (2013.01); G06F 3/0659 (2013.01); G06F 3/0679 (2013.01); H10N 99/05 (2023.02)] | 20 Claims |

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1. A photonic quantum computing system, comprising:
a non-transitory computer-readable memory medium;
a first encoded qubit comprising a first plurality of photonic quantum modes;
a second encoded qubit comprising a second plurality of photonic quantum modes;
a fusion controller; and
a plurality of fusion sites coupled to the fusion controller, wherein the photonic quantum computing system is configured to:
perform a first fusion measurement at a first fusion site of the plurality of fusion sites on a first photonic quantum mode of the first plurality of photonic quantum modes and a second photonic quantum mode of the second plurality of photonic quantum modes;
obtain a first classical measurement result of the first fusion measurement;
select a basis for performing a second fusion measurement based at least in part on the first classical measurement result;
perform the second fusion measurement at a second fusion site of the plurality of fusion sites on a third photonic quantum mode of the first plurality of photonic quantum modes and a fourth photonic quantum mode of the second plurality of photonic quantum modes according to the selected basis;
obtain a second classical measurement result of the second fusion measurement;
determine an encoded fusion measurement result of a fusion of the first encoded qubit and the second encoded qubit based at least in part on the first and second classical measurement results; and
store the encoded fusion measurement result in a non-transitory memory medium.
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