2008/08/31 by Daniel R. Terno
Computer Science · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #Quantum Mechanics and Applications #gr-qc #quant-ph
paper · pdf · doi:10.1088/0264-9381/26/3/035010
published as Class.Quant.Grav.26:035010,2009 · Discussion of the tetraheron refinment is rewritten. Statistical analysis and asymptotics discussions are expanded
arxiv created 2008/10/27 · openalex publication_date 2009/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an asymptotically optimal generalized measurement for the Classical information that is retrieved from a quantum tetrahedron is intrinsically fuzzy. We present an asymptotically optimal generalized measurement for the extraction of classical information from a quantum tetrahedron. For a single tetrahedron the optimal uncertainty in dihedral angles is shown to scale as an inverse of the surface area. Having commutative observables allows to show how the clustering of many small tetrahedra leads to a faster convergence to a classical geometry.