|Title||Fundamental limits on key rates in device-independent quantum key distribution|
|Publication Type||Journal Article|
|Year of Publication||2020|
|Authors||Kaur, E, Wilde, MM, Winter, A|
|Journal||New Journal of Physics|
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 . Finally, we prove that quantum intrinsic non-locality is bounded from above by intrinsic steerability.