Quantum Information Science

Quantum computation

Foundational articles on quantum computing by Richard Feynman

Richard Feynman, "There's Plenty of Room at the Bottom," Caltech Engineering and Science, Vol. 23, No. 22 (1960).
This is a transcript of Feynman's talk given on December 29, 1959 at the annual meeting of the American Physical Society.
Richard Feynman, "Simulating Physics with Computers," International Journal of Theoretical Physics, Vol. 21, Nos. 6/7 (1982)

Lattice models

Below are listings of the research topics investigated by the QC Group arranged in tabular form. In my modeling approach, I use either bits or qubits as the containers of information, the fundamental unit being a binary number either 0 or 1. In my lattice models of classical dynamics, I treat point particles as bits. And, in my lattice models of quantum dynamics, I treat point particles as qubits. Joint information is used too, either as correlated bits or entangled qubits. I consider lattice models where the number of bits (or the number of bits contained in the qubits) is conserved.

Classical dynamics

particles & fields	classical matter	fluid dynamics	nonlinear physics
number density field & velocity field	neutral matter	Navier-Stokes equation	vortices, shocks & turbulence
number density field & velocity and magnetic fields	magnetized matter	magnetohydrodynamic equations	magnetic vortices & MHD turbulence
charged 4-current & electric and magnetic fields	charged matter	plasmas and classical limit of the coupled Dirac equation and the Maxwell equations	Thirring-Coleman solitons & optical solitons
stress-energy tensor field & metric tensor field	gravitating matter & curved space	Dirac equation in curved space and Higgs model equation & Einstein equation	cosmic strings & black holes

Quantum dynamics

particles & fields	quantum matter	quantum fluid dynamics	nonlinear quantum physics
spin-0 bosons & single macroscopic quantum particle	superfluids	Gross-Pitaevskii equation	quantum vortices & quantum turbulence
entangled spin-1/2 fermions & Landau-Ginzburg order parameter	superconducting fluids	Dirac-Maxwell-London equations and Bogoliubov-de Gennes equation & Landau-Ginzburg equation	magnetic quantum vortices & Abrikosov lattice
spin-f bosons & multiplet bosonic field	spinor Bose-Einstein condensates superfluids	spin-f BEC equation	non-Abelian quantum vortices & Skyrmions and Dirac monopoles
chiral fermions & gauge fields	Fermi condensates	Mead-Wilczek equation and quantum Yang-Mills equation	not fully understood at this time