Unordered Tuples in Quantum Computation

Robert Furber, Bas Westerbaan

Research output: Chapter in Book/Report/Conference proceedingConference contribution


It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra of an unordered n-tuple of d-level quantum systems. Using some further elementary representation theory and number theory, we characterize the quantum cycles. We finish with a characterization of the von Neumann algebra for unordered words.
Original languageEnglish
Title of host publication2th International Workshop on Quantum Physics and Logic, U.K., July 15-17, 2015
EditorsChris Heunen, Peter Selinger, Jamie Vicary
PublisherOpen Publishing Association
Number of pages12
Publication statusPublished - 4 Nov 2015
Event12th International Workshop on Quantum Physics and Logic - Oxford, United Kingdom
Duration: 13 Jul 201517 Jul 2015

Publication series

NameElectronic Proceedings in Theoretical Computer Science
PublisherOpen Publishing Association
ISSN (Electronic)2075-2180


Workshop12th International Workshop on Quantum Physics and Logic
Abbreviated titleQPL 2015
Country/TerritoryUnited Kingdom
Internet address


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