The simulation of a quantum search algorithm in an Ising spin chain is equivalent to solving a system of 2^*L* coupled first order differential equations with *L* being the number of qubits. The near-resonant approximation can be used to simplify the evolution of the states in the database. In this work, we compare the simulation of a quantum search algorithm using the exact evolution according to Schr{\"o}dinger equation and using the near-resonant approximation. Our results show that the error of the near-resonant approximation is comparable to that of the exact evolution in terms of the fidelity measure. The advantage gained in having this small error at the near-resonant approximation is its faster execution time relative to the exact case.

},
author = {Neris D Ilano and Ronald Banzon and Cristine Villagonzalo}
}
@inproceedings {315,
title = {Threshold carrying capacity for competing populations in a Penna model},
booktitle = {Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Congress},
year = {2016},
month = {18{\textendash}21 Aug 2016},
pages = {SPP-2016-5C-05},
address = {University of the Philippines Visayas, Iloilo City},
abstract = {We consider two types of Penna model populations: VA, where the Verhulst factor is applied to the entire population, and VB, for which Verhulst is applied to newborns only. Resources are shared by summing both populations during coevolution. We determined a relative threshold carrying capacity for VB that still drives VA to extinction.},
author = {Christopher Patrick P. Elegado and Ronald Banzon}
}
@inproceedings {320,
title = {A critically damped quantum search may not necessarily be optimal},
booktitle = {Proceedings of the AQIS Conference 2015},
year = {2015},
month = {24{\textendash}30 Aug 2015},
pages = {147-148},
address = {Korea Institute for Advanced Study, Seoul},
abstract = {We explore the rate at which the target state is obtained in a damped quantum search of an Ising system. As the number of target states is reduced, the damped quantum search gives a higher probability of success than that of the classical search. For any system in general, a new damping parameter was obtained from an optimization of the damped quantum search. Application of the optimum damping parameter per iteration on the damped quantum search shows a significant improvement of the probability of success over the critically damped quantum search.},
url = {http://aqis-conf.org/2015/program/},
author = {Neris D Ilano and Ronald Banzon and Cristine Villagonzalo}
}
@conference {350,
title = {Effect of varying the position of the ancilla qubit and the coupling constants in the simulation of Grover{\textquoteright}s quantum search algorithm},
year = {2015},
month = {7{\textendash}11 Jan 2015},
pages = {P-62},
publisher = {9th International Conference on Computational Physics},
address = {National University of Singapore},
abstract = {We simulate Grover{\textquoteright}s algorithm in an Ising spin chain quantum computer with spatially-dependent coupling constant. The interaction to the nearest and second-nearest neighbor of the spins is considered. The behavior of the fidelity as a function of the number of Grover iteration during the algorithm is determined. For a fixed location of the ancilla qubit, the overall fidelity decreases as we increase the size of the database. Also, as we vary the coupling constant per neighbor, we obtain a high fidelity for a given number of iteration. The simulation of the algorithm using a classical computer system restricts the size of the database that gives a high fidelity result.},
url = {http://www.physics.nus.edu.sg/iccp9/},
author = {Neris D Ilano and Cristine Villagonzalo and Ronald Banzon}
}
@conference {354,
title = {Simulation of Grover{\textquoteright}s algorithm with spatially-dependent coupling constant},
year = {2014},
month = {16{\textendash}25 Sep 2014},
pages = {19},
publisher = {Okinawa School in Physics: Coherent Quantum Dynamics},
address = {Okinawa Institute of Science and Technology, Japan},
abstract = {We simulate Grover{\textquoteright}s algorithm in an Ising spin chain quantum computer with spatially-dependent coupling constant. The simulation shows that the tendency of two distinct states to transition from the same initial state is reduced. The fidelity with the ideal result and the probability of finding the target state are also investigated.},
url = {https://groups.oist.jp/cqd/participants-0},
author = {Neris D Ilano and Cristine Villagonzalo and Ronald Banzon}
}
@article {Pi{\~n}ol2011101,
title = {Catastrophic senescence and semelparity in the Penna aging model},
journal = { Theory Biosci.},
volume = {130},
number = {2},
year = {2011},
note = {cited By 2},
pages = {101-106},
abstract = {The catastrophic senescence of the Pacific salmon is among the initial tests used to validate the Penna aging model. Based on the mutation accumulation theory, the sudden decrease in fitness following reproduction may be solely attributed to the semelparity of the species. In this work, we report other consequences of mutation accumulation. Contrary to earlier findings, such dramatic manifestation of aging depends not only on the choice of breeding strategy but also on the value of the reproduction age, R, and the mutation threshold, T. Senescence is catastrophic when T <= R. As the organism{\textquoteright}s tolerance for harmful genetic mutations increases, the aging process becomes more gradual. We observe senescence that is threshold dependent whenever T \> R. That is, the sudden drop in survival rate occurs at age equal to the mutation threshold value.

},
doi = {10.1007/s12064-010-0115-7},
author = {Chrysline Margus N Pi{\~n}ol and Ronald Banzon}
}
@inproceedings {249,
title = {Persistence in the zero temperature dynamics of the 1D Ising model with long range interactions},
booktitle = {Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress},
year = {2011},
month = {24{\textendash}26 Oct 2011},
pages = {SPP2011-PB-33},
address = {University of the Philippines Diliman, Quezon City},
abstract = {We study the zero-temperature dynamics of the 1D Ising Model with long range interactions. In particular, we focus on the persistence behavior as the strength of the long range interaction is varied. Persistence pertains to those spins that did not flip after some time. We observe that whatever the strength of the long range interaction, the system exhibits blocking where some spins do not flip at all. The system size is also varied to see its effect on these properties.

},
url = {https://paperview.spp-online.org/proceedings/article/view/3240},
author = {Hilton Lazo and Ronald Banzon and Cristine Villagonzalo}
}
@inproceedings {rodriguez-spp-2007,
title = {Crafting a predictor-corrector method},
booktitle = {Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress},
year = {2007},
month = {24{\textendash}26 Oct 2007},
pages = {SPP-2007-068},
address = {University of the Phlippines Los Ba{\~n}os, Laguna},
abstract = {We aim to tailor a predictor-corrector method for an oscillatory-type of solution. The derived method consists of a fourth order predictor and corrector pair. The corrector was chosen from the so-called stability triangle which ensures the method{\textquoteright}s stability. Methods with small errors were chosen as correctors. These correctors were each paired to the already existing Milne-Simpson{\textquoteright}s predictor. The pair with the least error was selected and examined for a simple harmonic oscillator and a damped driven oscillator. The results clearly illustrate the validity of the method for an oscillatory-type of solution since it has reasonably small errors and it was shown to be comparable to the performance of RK4. Our resulting PC4 method has the advantage of less function evaluations, which translates to less error compared to RK4.

},
author = {Mariel Rodriguez and Ronald Banzon}
}
@inproceedings {antonio-spp-2006,
title = {Particle density dependence of molecular dynamics estimated reaction rates},
booktitle = {Proceedings of the 24th Samahang Pisika ng Pilipinas Physics Congress},
year = {2006},
month = {25{\textendash}27 Oct 2006},
pages = {SPP-2006-72},
address = {Ateneo de Davao University, Davao City},
abstract = {The dependence of the rate of reaction on the particle density of a one-dimensional gaseous system was investigated using molecular dynamics. The particle density in the system was changed by changing the size of the particles, the length of the system, and the number of particles in the system. It was found that, in general, as particle density increased, the rate of the reaction for a system that forms diatomic molecules increased. It was also shown that as the initial kinetic energy of the particles as denoted by the speed was increased, the rate of the reaction increased as well. These findings agree with empirical observations.

},
author = {Kristine Eia S Antonio and Ronald Banzon}
}
@inproceedings {jaramillo-spp-2005,
title = {Constrained percolation in two dimensions},
booktitle = {Proceedings of the 23rd Samahang Pisika ng Pilipinas Physics Congress},
year = {2005},
month = {26{\textendash}28 Oct 2005},
pages = {SPP-2005-130},
address = {Central Philippine University, Iloilo City},
abstract = {The effect of implanting square lattice sites of zero occupation probability at the center of a finite but large square lattice for site percolation was investigated. The introduction of symmetrical forbidden site lattices of different sizes inside 40x40 and 60x60 lattices yield percolation threshold values increasing with the size of the forbidden lattice. It was shown that topology in two dimensions dictates the value of the percolation threshold.

},
author = {Christian Oliver Jaramillo and Cristine Villagonzalo and Ronald Banzon}
}
@article {Marco2004,
title = {Hopping in a molecular wire},
journal = {Science Diliman},
volume = {16},
year = {2004},
pages = {10-11},
abstract = {We utilize the Hubbard model approach in analyzing the effect of the hopping parameter in the transport properties of a two-atom molecular device.

},
url = {http://journals.upd.edu.ph/index.php/sciencediliman/article/view/86},
author = {Ronaldo Marco Jr and Ronald Banzon and Cristine Villagonzalo}
}