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We introduce a single-number metric, quantum volume, that can be measuredusing a concrete protocol on near-term quantum computers of modest size($n\lesssim 50$), and measure it on several state-of-the-art transmon devices,finding values as high as 16. The quantum volume is linked to system errorrates, and is empirically reduced by uncontrolled interactions within thesystem. It quantifies the largest random circuit of equal width and depth thatthe computer successfully implements. Quantum computing systems withhigh-fidelity operations, high connectivity, large calibrated gate sets, andcircuit rewriting toolchains are expected to have higher quantum volumes. Thequantum volume is a pragmatic way to measure and compare progress towardimproved system-wide gate error rates for near-term quantum computation anderror-correction experiments.

Validating quantum computers using randomized model circuits