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A complete characterisation of All-versus-Nothing arguments for stabiliser states

Abstract:

An important class of contextuality arguments in quantum foundations are the All-versus-Nothing (AvN) proofs, generalising a construction originally due to Mermin. We present a general formulation of All-versus-Nothing arguments, and a complete characterisation of all such arguments which arise from stabiliser states. We show that every AvN argument for an n-qubit stabiliser state can be reduced to an AvN proof for a three-qubit state which is local Clifford-equivalent to the tripartite GHZ s...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1098/rsta.2016.0385

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Institution:
University of Oxford
Department:
Wolfson College
Role:
Author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
Role:
Author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
Role:
Author
Simons Institute for the Theory of Computing More from this funder
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Grant:
EP/N018745/1, ‘Contextuality as a Resource in Quantum Computation’; Doctoral training partnership
Oxford–Google Deepmind More from this funder
Publisher:
Royal Society Publisher's website
Journal:
Philosophical Transactions A: Mathematical, Physical and Engineering Sciences Journal website
Volume:
375
Issue:
2106
Pages:
0385
Publication date:
2017-10-02
Acceptance date:
2017-08-01
DOI:
EISSN:
1471-2962
ISSN:
1364-503X
Pubs id:
pubs:710848
URN:
uri:4781e586-2268-44e4-a3ef-d7a319a6e928
UUID:
uuid:4781e586-2268-44e4-a3ef-d7a319a6e928
Local pid:
pubs:710848
Paper number:
2106

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