The structure of superqubit states

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\(2ⁿ\)subsetSU\(2ⁿ\) 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 |00rangle.