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quant-ph2009★ 3 cited
Symmetric functions of qubits in an unknown basis
Ashley Montanaro
Consider an n qubit computational basis state corresponding to a bit string x, which has had an unknown local unitary applied to each qubit, and whose qubits have been reordered by…
quant-ph2008★ 2 cited
Quantum algorithms for shifted subset problems
Ashley Montanaro
We consider a recently proposed generalisation of the abelian hidden subgroup problem: the shifted subset problem. The problem is to determine a subset S of some abelian group, giv…
quant-ph2007★ 1 cited
Quantum search of partially ordered sets
Ashley Montanaro
We investigate the generalisation of quantum search of unstructured and totally ordered sets to search of partially ordered sets (posets). Two models for poset search are considere…