Random Unitaries Give Quantum Expanders - Quantum PhysicsReportar como inadecuado

Random Unitaries Give Quantum Expanders - Quantum Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We show that randomly choosing the matrices in a completely positive map fromthe unitary group gives a quantum expander. We consider Hermitian andnon-Hermitian cases, and we provide asymptotically tight bounds in theHermitian case on the typical value of the second largest eigenvalue. The keyidea is the use of Schwinger-Dyson equations from lattice gauge theory toefficiently compute averages over the unitary group.

Autor: M. B. Hastings

Fuente: https://arxiv.org/

Documentos relacionados