Mutually unbiased binary observable sets on N qubits
By J. Lawrence, Č. Brukner, Anton Zeilinger. 2001
162 citations recorded by the source corpus.
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 - 1 Pauli operators may be partitioned into 2 N + 1 distinct subsets, each consisting of 2 N -1 internally commuting observables. Furthermore, each such partitioning defines a unique choice of 2 N + I 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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/98904708a0938862ed71bdb77e2497e795aea1e7
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Photonic State Tomography (2005, background): “In single-qubit Poincaré space, the axes indicating mutually unbiased measurement bases are at right angles (Lawrence et al., 2002).”
- Entropic uncertainty relations—a survey (2009, unknown): “A similar result for d = 2 k has also been shown in (Lawrence et al. , 2002).”