Phys. Rev. A 65, 032320 (2002) [5 pages]Mutually unbiased binary observable sets on N qubitsReceived 17 October 2001; published 27 February 2002 The Pauli operators (tensor products of Pauli matrices) provide a complete basis of operators on the Hilbert space of N qubits. We prove that the set of 4N-1 Pauli operators may be partitioned into 2N+1 distinct subsets, each consisting of 2N-1 internally commuting observables. Furthermore, each such partitioning defines a unique choice of 2N+1 mutually unbiased basis sets in the N-qubit Hilbert space. Examples for 2 and 3 qubit systems are discussed with emphasis on the nature and amount of entanglement that occurs within these basis sets. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.032320
DOI:
10.1103/PhysRevA.65.032320
PACS:
03.67.-a, 03.65.Ta, 03.65.Ud
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