Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 42, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/7/072002
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Funding
- Alberta Ingenuity Fund
- Pacific Institute for the Mathematical Sciences
- Alberta's Informatics Circle of Research Excellence (iCORE)
- Canadian Network of Centres of Excellence for the Mathematics of Information Technology and Complex Systems (MITACS)
- Canadian Institute for Advanced Research
- General Dynamics Canada
- Natural Science and Engineering Research Council of Canada (NSERC)
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We prove that any three linearly independent pure quantum states can always be locally distinguished with nonzero probability regardless of their dimension, entanglement or multipartite structure. Almost always, all three states can be unambiguously identified. The only exceptional case, where one state is locally knowable but the other two are not, is found among multi-qubit states.
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