The structure of superqubit states

L. Borsten, K. Brádler, M. J. Duff

Research output: Contribution to journalReview articlepeer-review


Superqubits provide a supersymmetric generalisation of the conventional qubit in quantum information theory. After a review of their current status, we address the problem of generating entangled states. We introduce the global unitary supergroup UOSp((3n+1)/2/(3n?1)/2) for an n-superqubit system, which contains as a subgroup the local unitary supergroup [UOSp(2/1)]n. While for 4 > n > 1 the bosonic subgroup in UOSp((3n + 1)/2/(3n ? 1)/2) does not contain the standard global unitary group SU(2n), it does have an USp(2n) ⊂ SU(2n) subgroup which acts transitively on the n-qubit subspace, as required for consistency with the conventional multi-qubit framework. For two superqubits the UOSp(5/4) action is used to generate entangled states from the "bosonic" separable state /00}.

Original languageEnglish
Pages (from-to)371-386
Number of pages16
JournalRivista del Nuovo Cimento
Issue number7-8
Publication statusPublished - 1 Jul 2015


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