Description
Practical implementation of Fault-Tolerant Quantum Computation (FTQC) relies on a means to efficiently mediate logical qubit interactions. Transversal Controlled-NOT (CNOT) gates solve this task by using a set of corresponding operations between associated data qubits across two code blocks. Device properties such as the number of available qubits and connectivity limitations have, until recently, severely restricted which quantum error correction codes could perform transversal CNOT benchmarks on real quantum devices. We evaluate the performance of transversal CNOT gates between small surface code logical qubits when performed on a Quantinuum H2 trapped ion quantum processor. We address gate zone limitations prohibiting parallelized syndrome measurement by measuring stabilizer operators for each logical qubit sequentially. Despite this, we observe circuit performance competitive with other modern quantum error correction demonstrations. When decoding using knowledge of correlations between logical qubits, we observe logical performance close to pseudothreshold when comparing with equivalent unencoded circuits, with an average error rate across all encoded circuits of 1.25%. These results suggest the potential for small, possibly partially fault-tolerant, surface code encoded quantum circuits to soon be run on trapped ion hardware.
| I am the presenting author | Yes |
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