In this paper, we introduce intrinsic non-locality and quantum intrinsic non-locality as quantifiers for Bell non-locality, and we prove that they satisfy certain desirable properties such as faithfulness, convexity, and monotonicity under local operations and shared randomness. We then prove that intrinsic non-locality is an upper bound on the secret-key-agreement capacity of any device-independent protocol conducted using a device characterized by a correlation p, while quantum intrinsic non-locality is an upper bound on the same capacity for a correlation arising from an underlying quantum model. We also prove that intrinsic steerability is faithful, and it is an upper bound on the secret-key-agreement capacity of any one-sided-device-independent protocol conducted using a device characterized by an assemblage ρˇ. Finally, we prove that quantum intrinsic non-locality is bounded from above by intrinsic steerability.
Publication Source (Journal or Book title)
New Journal of Physics
Kaur, E., Wilde, M., & Winter, A. (2020). Fundamental limits on key rates in device-independent quantum key distribution. New Journal of Physics, 22 (2) https://doi.org/10.1088/1367-2630/ab6eaa