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Jusak Sali Kosasih
Indonesian Center for Theoretical and Mathematical Physics, Institut Teknologi Bandung
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Path Independence in Adiabatic Quantum Computing for Hadamard Gate Jusak Sali Kosasih; S. Suhadi; Freddy Permana Zen
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 1 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.1.3

Abstract

The computation time in adiabatic quantum computing (AQC) is determined by the time limit of the adiabatic evolution, which in turn depends on the evolution path. In this research we have used the variational method to find an optimized path. For the simplest case involving a single qubit and for the most general path involving one or more independent interpolating functions, the result is path independent. This result does not change when there is an extra Hamiltonian term. We have also applied these two scenarios in AQC to a Hadamard gate. Adding an extra Hamiltonian gives a non-trivial result compared to the normal AQC, however it does not result in a speed-up. Moreover, we show that in these two scenarios we can choose an arbitrary path provided that it satisfies the boundary conditions.
On The Double-Vacua Duality of Multi-Scalar Higgs and NGB-Dual Higgses in Scherk-Schwarz Breaking of 5-dimensional SU(6) Symmetry Jusak Sali Kosasih; Andreas Hartanto; Laksana Tri Handoko; Freddy Permana Zen
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 2 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.2.3

Abstract

A special condition of Scherk-Schwarz and S^1/Z2 orbifold breaking brings about both a weakly-coupled SU(6) baby Higgs and a strongly-coupled will-be simplest little Higgs scalar in the near-brane of SU(3) x SU(3)x U(1). The latter produces SU(3) VEVs and simplest little-like Higgs after triplet-triplet splitting and, under quadratic-based and non-quadratic-based Coleman-Weinberg potential, the simplest little-like Higgs yields exotic Higgses, scalar-pair and 3-scalar Higgses in the so-called one-by-one and collective breakings. A generalized non-quadratic-based Coleman-Weinberg potential utilizing a NGB-like scalar produces NGB-dual Higgses with a squared mass relevant to the components of a 3-scalar Higgs that further create a duality of 3-scalar Higgs and NGB-dual Higgses. This is due to a double-vacua property such that each vacuum responds equally to the shifts happening at either non-zero or zero-VEV vacuum.
Co-Authors Andreas Hartanto Freddy Permana Zen Laksana Tri Handoko S. Suhadi