Quantum tetrahedron and its classical limit

Abstract

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.

Discussion of the tetraheron refinment is rewritten. Statistical analysis and asymptotics discussions are expanded

References in corpus (8)

• Reference frames, superselection rules, and quantum information
• Quantum Information and Relativity Theory
• Differential Geometry on the Space of Connections via Graphs and Projective Limits
• Quantum tetrahedra and simplicial spin networks
• Optimal strategies for sending information through a quantum channel
• A semiclassical tetrahedron
• Elliptic Rydberg states as direction indicators
• Physical boundary state for the quantum tetrahedron