Fundamental limits on key rates in device-independent quantum key distribution

Abstract

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 ρ ˆ . Finally, we prove that quantum intrinsic non-locality is bounded from above by intrinsic steerability.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 01, 2020
Source ID
10.1088/1367-2630/ab6eaa

Entities

People

  • Andreas Winter
  • Eneet Kaur
  • Mark M. Wilde

Organizations

  • Comissió Interdepartamental de Recerca i Innovació Tecnològica
  • Ministry of Economy, Industry and Competitiveness
  • National Science Foundation
  • Office of Naval Research

Tags

Fields of Study

  • Computer science

Readers

  • Educational Psychology
  • Mathematical Modeling and Probability Theory.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Key Distribution