Year: 2002
Type: article
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 ${4}^{N}\ensuremath{-}1$ Pauli operators may be partitioned into ${2}^{N}+1$ distinct subsets, each consisting of ${2}^{N}\ensuremath{-}1$ internally commuting observables. Furthermore, each such partitioning defines a unique choice of ${2}^{N}+1$ 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.
Source: Physical Review A
Authors: Jay Lawrence, Časlav Brukner, Anton Zeilinger
Institutions: Dartmouth College, University of Vienna
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2113906175