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A soft beam search decoder for quantum low-density parity-check codes that uses internal decoder data as a confidence metric, removing the need for extra computation is introduced.
It is concluded that a trapped-ion quantum computer based on the Walking Cat Architecture can solve the ECDLP onsecp256k1 in approximately 25.7 days using 19,397 physical qubits with an estimated success probability of 63%.
An end-to-end real-time decoding stack for a universal fault-tolerant trapped-ion quantum computer architecture capable of decoding real workloads with millions of logical gates over hundreds of logical qubits is demonstrated.
This work designs a protocol for the joint measurement of $\ell$ commuting logical operators and designs a scheduler code determining the measurement sequence and allowing for the decoding of all logical measurement outcomes.
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