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Qubits with predominantly erasure errors present distinctive advantages forquantum error correction(QEC) and fault tolerant quantum computing. Logicalqubits based on dual-rail encoding that exploit erasure detection have beenrecently proposed in superconducting circuit architectures, either with coupledtransmons or cavities. Here, we implement a dual-rail qubit encoded in acompact, double-post superconducting cavity. Using an auxiliary transmon, weperform erasure detection on the dual-rail subspace. We characterize thebehaviour of the codespace by a novel method to perform joint-Wignertomography. This is based on modifying the cross-Kerr interaction between thecavity modes and the transmon. We measure an erasure rate of 3.981 +/- 0.003(ms)-1 and a residual dephasing error rate up to 0.17 (ms)-1 within thecodespace. This strong hierarchy of error rates, together with the compact andhardware-efficient nature of this novel architecture, hold promise in realisingQEC schemes with enhanced thresholds and improved scaling.

Erasure detection of a dual-rail qubit encoded in a double-post superconducting cavity