Title: Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic
Authors: Hostens, Erik ×
Dehaene, Jeroen
De Moor, Bart #
Issue Date: Apr-2005
Publisher: Published by the American Physical Society through the American Institute of Physics
Series Title: Physical Review A, Atomic, Molecular and Optical Physics vol:71 issue:4 pages:043215
Abstract: We describe generalizations of the Pauli group, the Clifford group, and stabilizer states for qudits in a Hilbert space of arbitrary dimension d. We examine a link with modular arithmetic, which yields an efficient way of representing the Pauli group and the Clifford group with matrices over Z(d). We further show how a Clifford operation can be efficiently decomposed into one and two-qudit operations. We also focus in detail on standard basis expansions of stabilizer states.
ISSN: 1050-2947
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Tutorial services, Faculty of Engineering
ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

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