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The sequential quantum random access code (QRAC) allows two or more decodersto obtain a desired message with higher success probability than the bestclassical bounds by appropriately modulating the measurement sharpness. Here,we propose an entanglement-assisted sequential QRAC protocol which can enabledevice-independent tasks. By relaxing the equal sharpness and mutually unbiasedmeasurement limits, we widen the sharpness modulation region from aone-dimensional interval to a two-dimensional triangle. Then, we demonstrateour scheme experimentally and get more than 27 standard deviations above theclassical bound even when both decoders perform approximately projectivemeasurements. We use the observed success probability to quantify theconnection among sequential QRAC, measurement sharpness, measurementbiasedness, and measurement incompatibility. Finally, we show that our protocolcan be applied to sequential device-independent randomness expansion and ourmeasurement strategy can enhance the success probability of decoding the entireinput string. Our results may promote a deeper understanding of therelationship among quantum correlation, quantum measurement, and quantuminformation processing.

Widening the sharpness modulation region of an entanglement-assisted sequential quantum random access code: Theory, experiment, and application