We present two experimental schemes that can be used to implement the Factorized Quantum Lattice-Gas Algorithm for the 1D Diffusion Equation with Persistent-Current Qubits. One scheme involves biasing the PC Qubit at multiple flux bias points throughout the course of the algorithm. An implementation analogous to that done in Nuclear Magnetic Resonance Quantum Computing is also developed. Errors due to a few key approximations utilized are discussed and differences between the PC Qubit and NMR systems are highlighted.
As proposed, we upgraded the system console on an existing Bruker Instruments, 14 T nuclear magnetic resonance (NMR) spectrometer to enable an improved implementation of type II quantum computers (TTQC). This upgrade is fully functional and has permitted our NMR studies to be moved to higher strength magnetic fields for better sensitivity and spectral dispersion. The TTQC experiments continue in collaboration with Dr. J. Yepez of the Air Force Research Laboratory. We have completed studies of the I-D dynamics of the diffusion equation and the Burger's equation with various viscosity. We have nearly completed additional studies showing both the scaling of errors in TTQC and a new novel mapping to reciprocal space lattices. The latter is hoped to be a first step toward running the TTQC with a closed feedback loop. The closed loop computations will permit continuous quantum computation in a lattice gas architecture.