Biomedical subjects

Peter J Love

Publications and source records attributed to Peter J Love.

7 recordsLinked to original sources

PubMed2006

Four-qubit device with mixed couplings.

We present the first experimental results on a device with more than two superconducting qubits. The circuit consists of four three-junction flux qubits, with simultaneous ferro- and antiferromagnetic coupling implemented using shared Josephson junctions. Its response, which is dominated by the ground state, is characterized using low-frequency impedance measurement with a superconducting tank circuit coupled to the qubits. The results are found to be in excellent agreement with the quantum-mechanical predictions.

Journal Article↗

PubMed2005

Simulated quantum computation of molecular energies.

The calculation time for the energy of atoms and molecules scales exponentially with system size on a classical computer but polynomially using quantum algorithms. We demonstrate that such algorithms can be applied to problems of chemical interest using modest numbers of quantum bits. Calculations of the water and lithium hydride molecular ground-state energies have been carried out on a quantum computer simulator using a recursive phase-estimation algorithm. The recursive algorithm reduces the number of quantum bits required for the readout register from about 20 to 4. Mappings of the molecular wave function to the quantum bits are described. An adiabatic method for the preparation of a good approximate ground-state wave function is described and demonstrated for a stretched hydrogen molecule. The number of quantum bits required scales linearly with the number of basis functions, and the number of gates required grows polynomially with the number of quantum bits.

Journal Article↗

PubMed2004

Lattice gas simulations of dynamical geometry in one dimension.

We present numerical results obtained using a lattice gas model with dynamical geometry. The (irreversible) macroscopic behaviour of the geometry (size) of the lattice is discussed in terms of a simple scaling theory and obtained numerically. The emergence of irreversible behaviour from the reversible microscopic lattice gas rules is discussed in terms of the constraint that the macroscopic evolution be reproducible. The average size of the lattice exhibits power-law growth with exponent at late times. The deviation of the macroscopic behaviour from reproducibility for particular initial conditions ('rogue states') is investigated as a function of system size. The number of such 'rogue states' is observed to decrease with increasing system size. Two mean-field analyses of the macroscopic behaviour are also presented.

Journal Article↗

PubMed2003

Galilean-invariant lattice-Boltzmann models with H theorem.

We demonstrate that the requirement of Galilean invariance determines the choice of H function for a wide class of entropic lattice-Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-(2/D) for D>2, where D is the number of spatial dimensions. We use this observation to construct a fully explicit, unconditionally stable, Galilean-invariant, lattice-Boltzmann model for the incompressible Navier-Stokes equations, for which attainable Reynolds number is limited only by grid resolution.

Journal Article↗

PubMed2002

Towards the simplest hydrodynamic lattice-gas model.

It has been known since 1986 that it is possible to construct simple lattice-gas cellular automata whose hydrodynamics are governed by the Navier-Stokes equations in two dimensions. The simplest such model heretofore known has six bits of state per site on a triangular lattice. In this work, we demonstrate that it is possible to construct a model with only five bits of state per site on a Kagome lattice. Moreover, the model has a simple, deterministic set of collision rules and is easily implemented on a computer. In this work, we derive the equilibrium distribution function for this lattice-gas automaton and carry out the Chapman-Enskog analysis to determine the form of the Navier-Stokes equations.

Computer Simulation↗

PubMed2002

A particulate basis for a lattice-gas model of amphiphilic fluids.

We show that the flux-field expansion derived by Boghosian & Coveney for the Rothman-Keller immiscible fluid model can be derived in a simpler and more general way in terms of the completely symmetric tensor kernels introduced by those authors. Using this generalized flux-field expansion we show that the more complex amphiphilic model of Boghosian, Coveney & Emerton can also be derived from an underlying model of particle interactions. The consequences of this derivation are discussed in the context of previous equilibrium Ising-like lattice models and other non-equilibrium mesoscale models.

Computer Simulation↗

PubMed2002

Three-dimensional hydrodynamic lattice-gas simulations of ternary amphiphilic fluids under shear flow.

We describe the implementation of shear flow in a three-dimensional lattice-gas model for amphiphilic fluids. We investigate the effect of shear on the morphology of the bicontinuous ternary microemulsion phase, and in particular its effect on the formation and stability of a lamellar phase. Metastable lamellar phases were observed for both 32(3) and 64(3) systems subjected to shear, and the stability of preformed lamellar phases under shear flow established for both 64(3) and 128(3) systems. The effect of micellization on interfacial behaviour in these phases is discussed in the context of the linear non-equilibrium thermodynamic theory of rate processes and nonlinear Becker-Döring aggregation theory.

Computer Simulation↗