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A Device-Independent Protocol for XOR Oblivious Transfer

Authors Srijita Kundu, Jamie Sikora, Ernest Y.-Z. Tan

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Author Details

Srijita Kundu
  • Centre for Quantum Technologies, National University of Singapore, Singapore
Jamie Sikora
  • Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada
Ernest Y.-Z. Tan
  • Institute for Theoretical Physics, ETH Zürich, Switzerland

Funding

  • Kundu, Srijita: Supported by the Singapore Ministry of Education and the National Research Foundation, Prime Minister’s Office, Singapore. Part of this work was done when S. K. was visiting the Institute for Quantum Computing at the University of Waterloo, Canada.
  • Sikora, Jamie: Supported by Government of Canada through the Department of Innovation, Science and Economic Development Canada, and by the Province of Ontario through the Ministry of Economic Development, Job Creation and Trade.
  • Tan, Ernest Y.-Z.: Supported by the Swiss National Science Foundation via the National Center for Competence in Research for Quantum Science and Technology (QSIT), the Air Force Office of Scientific Research (AFOSR) via grant FA9550-19-1-0202, and the QuantERA project eDICT.

Acknowledgements

We thank Jean-Daniel Bancal, Andrea Coladangelo, Lídia del Rio, Honghao Fu, Anand Natarajan, Christopher Portmann, Xingyao Wu and Vilasini Venkatesh for helpful discussions.

Cite As Get BibTex

Srijita Kundu, Jamie Sikora, and Ernest Y.-Z. Tan. A Device-Independent Protocol for XOR Oblivious Transfer. In 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 158, pp. 12:1-12:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020) https://doi.org/10.4230/LIPIcs.TQC.2020.12

Abstract

Oblivious transfer is a cryptographic primitive where Alice has two bits and Bob wishes to learn some function of them. Ideally, Alice should not learn Bob’s desired function choice and Bob should not learn any more than logically implied by the function value. While decent quantum protocols for this task are known, many quickly become insecure if an adversary were to control the quantum devices used in the implementation of the protocol. Here we present how some existing protocols fail in this device-independent framework, and give a fully-device independent quantum protocol for XOR oblivious transfer which is provably more secure than any classical protocol.

Subject Classification

ACM Subject Classification
  • Security and privacy → Cryptography
  • Theory of computation → Cryptographic primitives
Keywords
  • Quantum cryptography
  • device independence
  • oblivious transfer
  • semidefinite programming
  • security analysis

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