TY - JOUR
AB - 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.
AU - Lawrence, W. E.
AU - Brukner, Č.
AU - Zeilinger, A.
DA - 2002/02/27/
JF - Phys. Rev. A
PY - 2002
SE - 2002/02/27/
SP - 5
TI - Mutually unbiased binary observable sets on N qubits
UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLRAAN000065000003032320000001&idtype=cvips&gifs=yes
ER -