Simulation for the feature of non abelian anyons in quantum double model using quantum state preparation Zheng-Wei zhou(周正威) Key Lab of Quantum Information, CAS, USTC In collaboration with Univ. of sci. Tech. of china XW.Luo(罗希望) Y-J.Han(韩永建) XX.Zhou(周幸祥) G.C.Guo(郭光灿) Jinhua Aug 14, 2012
Simulation for the feature of non-Abelian anyons in quantum double model using quantum state preparation Jinhua Aug 14, 2012 Zheng-Wei Zhou(周正威） Key Lab of Quantum Information , CAS, USTC In collaboration with: Univ. of Sci. & Tech. of China X.-W. Luo (罗希望) Y.-J. Han (韩永建) X.-X. Zhou (周幸祥) G.-C. Guo (郭光灿)
Outline a. Some backgrounds on Quantum simulation Introduction to topological quantum computing based on Kitaev's group algebra(quantum double)model a Il. Simulation for the feature of non-abelian anyons in quantum double model using quantum state preparation a Summary
Outline ◼ I. Some Backgrounds on Quantum Simulation ◼ II. Introduction to topological quantum computing based on Kitaev’s group algebra (quantum double) model ◼ III. Simulation for the feature of non-Abelian anyons in quantum double model using quantum state preparation ◼ Summary
. Backgrounds on Quantum Simulation
I. Backgrounds on Quantum Simulation
Nature isnt classical. and if you want to make a simulation of Nature, you'd better make it quantum mechanical, and it's a wonderful problem, because it doesn 't look so easy. (Richard Feynman) KI+ l,+1] Ⅳ7)=exp(-iHnT)y0
“Nature isn't classical, and if you want to make a simulation of Nature, you'd better make it quantum mechanical, and it's a wonderful problem, because it doesn't look so easy.” (Richard Feynman)
Why Quantum Simulation? Answer 1: Where present many body theory fails . so far Example: 2D Fermi Hubbard Fermi liquid H=-t2(ci o +cfo Cio)+u2n, n, i,0 doped resonant valence bond(rvb)state(?) half-filling(parent compounds hole-doping superposition of singlet coverings hole pairs condense(BCs) 只+… other: time dependent problems, quantum chemistry, quantum simulation as interplay between theory and experiment