Document Type

Article

Publication Date

2-27-2002

Publication Title

Physical Review A - Atomic, Molecular, and Optical Physics

Abstract

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.

DOI

10.1103/PhysRevA.65.032320

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Physics Commons

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