My overall research goal is to design efficient software tools to identify and analyze advantages and pitfalls in emergent computing technologies such as quantum computers. In order to better engineer such devices, it is important to obtain simulation-based studies that help understand exactly how they work and what their computational limitations are. As part of my PhD research, I have designed new data structures and algorithms that facilitate simulation of broader classes of quantum circuits that are beyond the capabilities of current state-of-the-art simulators. In contrast to other simulation techniques, which are hard to parallelize, my technique is inherently parallel and thus can take advantage of highly-efficient distributed computing frameworks. Additional research interests include: computational geometry, bioinformatics and business analytics.
H. J. García and I. L. Markov, Simulation of Quantum Circuits via Stabilizer Frames, IEEE Transactions on Computers, vol. 64, no. 8, 2015.
H. J. García, Hybrid Techniques for Simulating Quantum Circuits using the Heisenberg Representation, PhD Dissertation, The University of Michigan, 2014.
H. J. García, I. L. Markov and A. W. Cross, On the Geometry of Stabilizer States, Quantum Information and Computation (QIC), vol. 14, no. 7–8, pp. 683–720, 2014.
H. J. García and I. L. Markov, Quipu: High-performance Simulation of Quantum Circuits using Stabilizer Frames, IEEE International Conference on Computer Design (ICCD), pp. 404–410, Asheville, October 6–10, 2013. Third place – SHPE 2013 technical poster competition.
H. J. García and I. L. Markov, Efficient Inner-product Algorithm for Stabilizer States, arXiv:1210.6646, 2012.
H. J. García and I. L. Markov, Spinto: High-performance Energy Minimization in Spin Glasses, IEEE Design Automation and Test in Europe Conference (DATE), pp. 160–165, Dresden, March 8–10, 2010.
H. J. García and I. L. Markov, High-performance Energy Minimization with Applications to Adiabatic Quantum Computing, arXiv:0912.3912, 2009. First place – SHPE 2009 technical paper competition.
H. J. García and I. L. Markov, High-performance Solver for Finding Ground States in Ising Spin Glasses, International Workshop on Logic Synthesis (IWLS), UC Berkeley, 2009.
H. J. García and I. L. Markov, High-Level Quantum Programming with Quantum Walks, Master Thesis, The University of Michigan, 2007.
M. Wynn, A. Ventura, J. Sepulchre, H. J. García and S. Merajver, Kinase inhibitors can produce off-target effects and activate linked pathways by retroactivity, BMC Systems Biology, vol. 5, no. 1, 2011.
E. J. Kennedy, A. Ventura, Z. Wu, H. J. García and S. Merajver, Visualization of the Activation/Deactivation Cycle of RhoC in Inflammatory Breast Cancer, American Association for Cancer Research, vol. 10, no. 8, supplement 1, 2010.
R. Vijayaraghavan, H. J. García and G. V. Puskorius, A Volume Allocation Model to Increase Vehicle Line Profitability, SIAM Conference on Mathematics for Industry, Wayne State University, 2005.