Experimental demonstration of fault-tolerant state preparation with superconducting qubits

Abstract

Robust quantum computation requires encoding delicate quantum information into degrees of freedom that are hard for the environment to change. Quantum encodings have been demonstrated in many physical systems by observing and correcting storage errors, but applications require not just storing information; we must accurately compute even with faulty operations. The theory of fault-tolerant quantum computing illuminates a way forward by providing a foundation and collection of techniques for limiting the spread of errors. Here we implement one of the smallest quantum codes in a five-qubit superconducting transmon device and demonstrate fault-tolerant state preparation. We characterize the resulting codewords through quantum process tomography and study the free evolution of the logical observables. Our results are consistent with fault-tolerant state preparation in a protected qubit subspace.

References in corpus (9)

• Robust randomized benchmarking of quantum processes
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Experimental Quantum Computations on a Topologically Encoded Qubit
• Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
• 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
• Experimental demonstration of a graph state quantum error-correction code

Cited by in corpus (9)

• Nanomaterials for Quantum Information Science and Engineering
• Gate-error analysis in simulations of quantum computers with transmon qubits
• Strategies for practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers
• The XYZ${}^2$ hexagonal stabilizer code
• Superconducting qubits beyond the dispersive regime
• Quantum error correction with the color-Gottesman-Kitaev-Preskill code
• Error-rate-agnostic decoding of topological stabilizer codes
• Low-temperature environments for quantum computation and quantum simulation
• Supercomputer simulations of transmon quantum computers