2017/05/31 by Spencer Breiner, Carl A. Miller, Neil J. Ross · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.22331/q-2019-05-27-146
published as Quantum 3, 146 (2019) · Publishable version. Diagrams have been polished, minor revisions to the text, and an appendix added with supplementary proofs
arxiv created 2019/05/20 · arxiv updated 2019/05/29
We introduce a framework for graphical security proofs in device-independent quantum cryptography using the methods of categorical quantum mechanics. We are optimistic that this approach will make some of the highly complex proofs in quantum cryptography more accessible, facilitate the discovery of new proofs, and enable automated proof verification. As an example of our framework, we reprove a previous result from device-independent quantum cryptography: any linear randomness expansion protocol can be converted into an unbounded randomness expansion protocol. We give a graphical proof of this result, and implement part of it in the Globular proof assistant.