Current Position

Senior researcher at Microsoft Quantum - Redmond

Education

• Ph.D. (2017) from the MIT Deparment of Physics. My advisor was Prof. Isaac L. Chuang.
• M.Sci. and B.A. (2012) from Christ’s College of the University of Cambridge.

Research

• Push the limits of quantm computing in simulating physics, and to understand physics as a heuristic for solving computational problems.
• I am interested in and have worked on quantum algorithms for simulation, machine learning, linear algebra, imaging, search, and tomography.
• I also have also worked on noise models and the control of trapped ion quantum computing.

Publications

Authorship in physics venues (e.g. Physical review) are typically ordered by contribution. Authorship in computer science venues (e.g. STOC / FOCS) are typically ordered alphabetically.

1. Well-conditioned multiproduct Hamiltonian simulation
   • Guang Hao Low, Vadym Kliuchnikov, Nathan Wiebe
   • arXiv:1907.11679
2. Hamiltonian simulation by Qubitization
   • Guang Hao Low, Isaac L. Chuang
   • arXiv:1610.06546
   • Quantum 3, 163 (2019)
   • Featured in Quantum: Framework for Hamiltonian simulation and beyond
3. Downfolding of many-body Hamiltonians using active-space models: extension of the sub-system embedding sub-algebras approach to unitary coupled cluster formalisms
   • Nicholas P. Bauman, Eric J. Bylaska, Sriram Krishnamoorthy, Guang Hao Low, Nathan Wiebe, Christopher E. Granade, Martin Roetteler, Matthias Troyer, Karol Kowalski
   • arXiv:1902.01553
   • The Journal of Chemical Physics 151, 014107 (2019)
4. Hamiltonian simulation with nearly optimal dependence on spectral norm
   • Guang Hao Low
   • arXiv:1807.03967
   • Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, Pages 491-502 (2019)
5. Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
   • András Gilyén, Yuan Su, Guang Hao Low, Nathan Wiebe
   • arXiv:1806.01838
   • Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, Pages 193-204 (2019)
6. Q# and NWChem: Tools for scalable quantum chemistry on qantum computers
   • Guang Hao Low, Nicholas P. Bauman, Christopher E. Granade, Bo Peng, Nathan Wiebe, Eric J. Bylaska, Dave Wecker, Sriram Krishnamoorthy, Martin Roetteler, Karol Kowalski, Matthias Troyer, Nathan A. Baker
   • arXiv:1904.01131
7. Black-box quantum state preparation without arithmetic
   • YR Sanders, Guang Hao Low, A Scherer, DW Berry
   • arXiv:1807.03206
   • Physical Review Letters 122, 020502 (2019)
   • Editors’ suggestion
8. Trading T-gates for dirty qubits in state preparation and unitary synthesis
   • Guang Hao Low, Vadym Kliuchnikov, L Schaeffer
   • arXiv:1812.00954
9. Quantum algorithm for simulating real time evolution of lattice Hamiltonians
   • Jeongwan Haah, Matthew Hastings, Robin Kothari, Guang Hao Low
   • arXiv:1801.03922
   • IEEE 59th Annual Symposium on Foundations of Computer Science, Pages 350-360 (2018)
10. Hamiltonian simulation in the interaction picture
    • Guang Hao Low, Nathan Wiebe
    • arXiv:1805.00675
11. Improved techniques for preparing eigenstates of fermionic Hamiltonians
    • Dominic W. Berry, Mária Kieferová, Artur Scherer, Yuval R. Sanders, Guang Hao Low, Nathan Wiebe, Craig Gidney, Ryan Babbush
    • arXiv:1711.10460
    • npj Quantum Information 4, 22 (2018)
12. Heisenberg scaling of imaging resolution by coherent enhancement
    • Robert McConnell, Guang Hao Low, Theodore J. Yoder, Colin D. Bruzewicz, Isaac L. Chuang, John Chiaverini, Jeremy M. Sage
    • arXiv:1606.02188
    • Physical Review A 96, 051801(R) (2017)
13. Hamiltonian simulation by uniform spectral amplification
    • Guang Hao Low, Isaac L. Chuang
    • arXiv:1707.05391
14. Hamiltonian simulation with optimal sample complexity
    • Shelby Kimmel, Cedric Yen-Yu Lin, Guang Hao Low, Maris Ozols, Theodore J. Yoder
    • arXiv:1608.00281
    • npj Quantum Information 3, 13 (2017)
15. Parallel position-controlled composite quantum logic gates with trapped ions
    • Michael S. Gutierrez, Guang Hao Low, Richard Rines, Helena Zhang
    • arXiv:1702.03568;
16. Optimal Hamiltonian simulation by quantum signal processing
    • Guang Hao Low, Isaac L. Chuang
    • arXiv:1608.00281
    • Physical Review Letters 118, 010501 (2017)
17. Methodology of resonant equiangular composite quantum gates
    • Guang Hao Low, Theodore J. Yoder, Isaac L. Chuang
    • arXiv:1603.03996
    • Physical Review X 6, 041067 (2016)
18. Iterative precision measurement of branching ratios applied to 5P states in 88Sr+
    • Helena Zhang, Michael Gutierrez, Guang Hao Low, Richard Rines, Jules Stuart, Tailin Wu, Isaac L. Chuang
    • arXiv:1605.04210
    • New Journal of Physics 18, 123021 (2016)
19. Effects of electrode surface roughness on motional heating of trapped ions
    • Kuan-Yu Lin, Guang Hao Low, Isaac L. Chuang
    • arXiv:1605.02808
    • Physical Review A 94, 013418 (2016)
20. Robust calibration of a universal single-qubit gate set via robust phase estimation
    • Shelby Kimmel, Guang Hao Low, Theodore J. Yoder
    • arXiv:1502.02677
    • Physical Review A 92, 062315 (2015)
21. Quantum imaging by coherent enhancement
    • Guang Hao Low, Theodore J. Yoder, Isaac L. Chuang
    • arXiv:1409.7993
    • Physical Review Letters 114 100801 (2015)
    • Featured in Physics: Quantum Particles Spotted in Less Time
22. Fixed-point quantum search with an optimal number of queries
    • Theodore J. Yoder, Guang Hao Low, Isaac L. Chuang
    • arXiv:1409.3305
    • Physical Review Letters 113 210501 (2014)
    • Editors’ suggestion; Featured in Physics: Quantum Search Gets an Update
23. Quantum inference on Bayesian networks
    • Guang Hao Low, Theodore J. Yoder, Isaac L. Chuang
    • arXiv:1402.7359
    • Physical Review A 89, 062315 (2014)
24. Optimal arbitrarily accurate composite pulse sequences
    • Guang Hao Low, Theodore J. Yoder, Isaac L. Chuang
    • arXiv:1307.2211
    • Physical Review A 89, 022341 (2014)
25. Finite-geometry models of electric field noise from patch potentials in ion traps
    • Guang Hao Low, Peter F. Herskind, Isaac L. Chuang
    • arXiv:1109.2995
    • Physical Review A 84, 053425 (2011)
26. Laser-induced charging of microfabricated ion traps
    • Shannon X. Wang, Guang Hao Low, Nathan S. Lachenmyer, Yufei Ge, Peter F. Herskind, Isaac L. Chuang
    • arXiv:1108.0092
    • Journal of Applied Physics 110, 104901 (2011)
27. Effects of collisional decoherence on multipartite entanglement: How entanglement might not be relatively common
    • Guang Hao Low, Zhiming Shi, Ye Yeo
    • arXiv:quant-ph/0602169
    • Physical Review A 74, 012307 (2006)

Thesis

Quantum signal processing by single-qubit dynamics

• Guang Hao Low
• Massachusetts Institute of Technology (2017)