2007/06/30 by Chris R. Laumann, C. Laumann, Antonello Scardicchio +2 · 3 citations
Mathematics · Physics and Astronomy · #Bethe lattice #Complex Network Analysis Techniques #Generalization #Ising model #Ising spin #Lattice (music) #Mathematics #Observable #Physics #Quantum #Quantum mechanics #Random Matrices and Applications #Spin (aerodynamics) #Spin glass #Statistical physics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.78.134424
published as Phys. Rev. B 78, 134424 (2008) · 27 pages, 9 figures
arxiv created 2008/09/03 · openalex publication_date 2008/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a generalization of the cavity method to quantum spin glasses on fixed connectivity lattices. Our work is motivated by the recent refinements of the classical technique and its potential application to quantum computational problems. We numerically solve for the phase structure of a connectivity q=3 transverse field Ising model on a Bethe lattice with \ifmmode±\else\textpm\fiJ couplings and investigate the distribution of various classical and quantum observables.