Symmetric functions of qubits in an unknown basis

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Symmetric functions of qubits in an unknown basis

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 an unknown permutation. We show that, given such a state with Hamming weight |x| ≤ bn/2c, it is possible to reconstruct |x| with success probability 1 − |x|/(n − |x| + 1), and thus to compute any symmetric function o...

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ژورنال

عنوان ژورنال: Physical Review A

سال: 2009

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.79.062316