2006/06/01 by W. E. Baylis, R. Cabrera, Renán Cabrera +5
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #Matrix Theory and Algorithms #Quantum Information and Cryptography #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0606019
4 pages, no figures, revision corrects a couple of minor errors
openalex publication_date 2006/06/01 · arxiv created 2006/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Just as any state of a single qubit or 2-level system can be obtained from any other state by a rotation operator parametrized by three real Euler angles, we show how any state of an n-qubit or 2n-level system can be obtained from any other by a compact unitary transformation with 2^(n+1)-1 real angles, 2n of which are azimuthal-like and the rest polar-like. The results follow from a modeling of the Hilbert space of n-qubits by a minimal left ideal of an associative algebra. This representation is expected to be useful in the design of new compact control techniques or more efficient algorithms in quantum computing.