Understand
Self-tested quantum information processing provides a means for doing useful information processing with untrusted quantum apparatus.
- Previous work was limited to performing computations and protocols in real Hilbert spaces, which is not a serious obstacle if one is only interested in final measurement statistics being correct (for example, getting the correct factors of a large number after running Shor's factoring algorithm).
- This limitation was shown by McKague et al.
- to be fundamental, since there is no way to experimentally distinguish any quantum experiment from a special simulation using states and operators with only real coefficients.
Built on
Simulating quantum systems using real Hilbert spaces
Matthew McKague, Michele Mosca, and Nicolas Gisin · 1923
Earlier work this paper cites.
Eavesdrop-detecting quantum communications channel
C. H. Bennett, G. Brassard, S. Breidbart, and S Wiesner · 1984
Earlier work this paper cites.
Optimal eavesdropping in quantum cryptography with six states
Dagmar Bruß · 1998
Earlier work this paper cites.
Similar
Quantum cryptography with imperfect apparatus
Dominic Mayers and Andrew Yao · 1998
Cited alongside, same era.
Self-testing of universal and fault-tolerant sets of quantum gates
Wim van Dam, Frederic Magniez, Michele Mosca, and Miklos Santha · 2000
Cited alongside, same era.
Self testing quantum apparatus
Dominic Mayers and Andrew Yao · 2004
Cited alongside, same era.
Then
Self-testing of quantum circuits
Frédéric Magniez, Dominic Mayers, Michele Mosca, and Harold Ollivier · 2006
Later among the works it cites.
Bell inequalities: many questions, a few answers, 2007
Nicolas Gisin · 2007
Later among the works it cites.
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