Implementation Schemes for the Factorized Quantum Lattice-Gas Algorithm for the One Dimensional Diffusion Equation using Persistent-Current Qubits

摘要

We present two experimental schemes that can be used to implement theFactorized Quantum Lattice-Gas Algorithm for the 1D Diffusion Equation withPersistent-Current Qubits. One scheme involves biasing the PC Qubit at multipleflux bias points throughout the course of the algorithm. An implementationanalogous to that done in Nuclear Magnetic Resonance Quantum Computing is alsodeveloped. Errors due to a few key approximations utilized are discussed anddifferences between the PC Qubit and NMR systems are highlighted.