Demonstration of weight-four parity measurements in the surface code architecture

Abstract

We present parity measurements on a five-qubit lattice with connectivity amenable to the surface code quantum error correction architecture. Using all-microwave controls of superconducting qubits coupled via resonators, we encode the parities of four data qubit states in either the $X$- or the $Z$-basis. Given the connectivity of the lattice, we perform full characterization of the static $Z$-interactions within the set of five qubits, as well as dynamical $Z$-interactions brought along by single- and two-qubit microwave drives. The parity measurements are significantly improved by modifying the microwave two-qubit gates to dynamically remove non-ideal $Z$ errors.

8 pages, 4 figures

References in corpus (9)

• Fault-tolerant quantum computation with high threshold in two dimensions
• Robust randomized benchmarking of quantum processes
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Procedure for systematically tuning up crosstalk in the cross resonance gate
• Characterization of addressability by simultaneous randomized benchmarking
• Detecting bit-flip errors in a logical qubit using stabilizer measurements
• Process verification of two-qubit quantum gates by randomized benchmarking
• Microwave-induced coupling of superconducting qubits

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