Jacob Biamonte

I work on the physical theory of information and computation and towards a unified mathematical theory of networks.

Research Interests

• Mathematical physics, network theory, tensor network states, chemical reaction networks, field theory
• Computational complexity theory, circuit theory and connections to condensed matter physics
• Quantum algorithms to simulate many-body physics and ab initio chemistry on a quantum computer

My Courses

• Guest lecturer, Lectures on Tensor Network States, QIC 890/891 Selected Advanced Topics in Quantum Information, The University of Waterloo (Institute for Quantum Computation, IQC and Perimeter Institute for Theoretical Physics, PI), Waterloo Ontario, Canada, (2011).

• Credits: youtube lectures filmed and edited by Peter J. Kovacs and Craig Hennessey, trailer and interview orchestrated by Colin Hunter.

• My old St Peter's College Oxford staff page (2009 to 2011, no longer updated)
• My old page at Oxford University (2007 to 2010, no longer updated)
• My old page at Harvard (2007 & 2008, no longer updated)
• Quantum Information Toolkit for Matlab

 

Media Congratulations to James Whitfield for winning the 2011 Longuet-Higgins Young Authors Prize for Simulation of electronic structure Hamiltonians using quantum computers, Molecular Physics. Vol. 109. No. 5. Pages 735. (2010). Network Theory Part 18, John Baez and Jacob Biamonte, Azimuth blog, (2011). Network Theory Part 17, John Baez and Jacob Biamonte, Azimuth blog, (2011). Tensor Dispenser, (a blog article about my tensor networks course) by Colin Hunter, Quantum factory (2011). Our paper [AIP Advances 1, 022126 (2011)] has been in the top 20 most downloaded (reaching 5th) June, July, Aug, Sep, Oct 2011. Network Theory Part 7, Jacob Biamonte, Azimuth blog, (2011). Visitor Notes: Jacob Biamonte − Categorical Models of Quantum Information in the Simulation of Many−Body Systems, Jacob Biamonte, CQT's Annual Report (2010), (Jenny Hogan, editor) (pdf). Interview by Pete Wilton, Quantum simulators & super civilisations Jacob Biamonte on Tensor Network States, n-Category Café Some of our published work has been selected to be listed in the Virtual Journal of Quantum information: Vir. J. Quantum Inf. Volume 8, Issue 6, Information Theory, (2008); Vir. J. Quantum Inf. Volume 7, Issue 7, Implementations, (2007); Vir. J. Quantum Inf. Volume 7, Issue 5, Implementations, (2007); Vir. J. Quantum Inf. Volume 8, Issue 8, Algorithms and Computation, (2008). Some articles about our joint work [Nature Chemistry 2:106, 2010; Molecular Physics 109(5):735, 2010] on quantum algorithms: (New Scientist, Physics World, Science News, Wired!, MSNBC) Experience Guest lecturer, Institute for Quantum Computing (IQC), University of Waterloo Lecturer in Physics, St Peter's College, University of Oxford EPSRC Funded Postdoctoral Research Fellowship, University of Oxford Research Assistant, University of Oxford Research Fellow, Harvard University Research Physicist/Consultant, D-Wave Systems, Inc. The Quantum Computing Company Doctorate from the University of Oxford Talks Invariant Theory for Matrix Product States, Networking Tensor Networks: many-body systems and simulations, May 2012, Centro de Ciencias de Benasque Pedro Pascual, Benasque Spain. [Slides PPT and PDF] Quantum versus Classical Network Structure and Function, Tsinghua University, Beijing, China, Institute for Interdisciplinary Information Science (IIIS), Center for Quantum Information (CQI), (2011). [PDF of slides]. (My visit to IIIS and CQI was supported in part by the National Basic Research Program of China under Grants 2011CBA00300 and 2011CBA00302).  [YouKu Video] Penrose Graphical Notation for Tensor Network States, Perimeter Institute for Theoretical Physics Seminar Archive (PIRSA), (2011). [PDF of slides], http://pirsa.org/11080059/ (multiple media formats). Grants Awarded £150,000 (~$230,000) from the Sir John Templeton Foundation (with Kavan Modi, Vlatko Vedral and George Sudarshan) 2011-13. Recipient of EPSRC Doctoral Prize Fellowship 10/2010 - 8/2011. Awarded £174,422 (~$270,000) for EPSRC grant EP/G003017/1 (with Ed Blakey et al) 2008-10. Patent Embodiment of a Universal Adiabatic Quantum Computer, (patented in over 180 countries), U.S. Patent 60/910,445, International Patent WO/2008/122128, (4/2007). [rights owned by D-Wave Systems Inc.] Publications   Undecidability in Tensor Network States Jason Morton and Jacob Biamonte in review, (2012) http://arxiv.org/abs/1205.3315   Quantum Techniques for Stochastic Mechanics John Baez and Jacob Biamonte book in progress, (2012) http://math.ucr.edu/home/baez/quantum-mathematics.pdf   Tensor networks for entanglement evolution Sebastian Meznaric and Jacob Biamonte in review, (2012) http://arxiv.org/abs/1204.3599   Tensor networks and graphical calculus for open quantum systems Christopher J. Wood, Jacob D. Biamonte and David G. Cory in review (2011) http://arxiv.org/abs/1111.6950 Algebraically contractible topological tensor network states S. J. Denny, J. D. Biamonte, D. Jaksch and S. R. Clark J. Phys. A: Math. Theor. 45 015309, (2012). http://arxiv.org/abs/1108.0888 Categorical Quantum Circuits Ville Bergholm and Jacob Biamonte In Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 17, pages 25304-25324, 2011. http://arxiv.org/abs/1010.4840   Ground State Spin Logic James Whitfield, Mauro Faccin and Jacob D Biamonte in review, 2012. http://arxiv.org/abs/1205.1742   Categorical Tensor Network States Jacob D. Biamonte‚ Stephen R.Clark and Dieter Jaksch AIP Advances 1(4), 042172 (2011). http://arxiv.org/abs/1012.0531   Racing a quantum computer through Minkowski spacetime Jacob D Biamonte In J. Phys. Conf. Ser.. Vol. 1. No. 229. Pages 012020. 2010. Details | BibTeX | Link | DOI (10.1088/1742-6596/229/1/012020)   Simulation of electronic structure Hamiltonians using quantum computers James D. Whitfield‚ Jacob Biamonte and Alán Aspuru−Guzik In Molecular Physics. Vol. 109. No. 5. Pages 735. 2010. Details | BibTeX | Link   Adiabatic Quantum Simulators J.D. Biamonte‚ V. Bergholm‚ J.D. Whitfield‚ J. Fitzsimons and A. Aspuru−Guzik In AIP Advances 1(2), 022146, 2011. arXiv:1002.0368. Details | BibTeX | Download (pdf)   Fault Models for Quantum Mechanical Switching Networks Jacob D. Biamonte‚ Jeff S. Allen and Marek A. Perkowski In Journal of Electronic Testing: Theory and Applications. Vol. 26. No. 5. Pages 499−511. 2010. Details | BibTeX | Download (pdf) | DOI (10.1007/s10836-010-5171-x)   Towards quantum chemistry on a quantum computer B. P. Lanyon et al., In Nature Chem. No. 2. Pages 106–111. 2010. Details | BibTeX | Link (html) | DOI (10.1038/nchem.483)   Realizable Hamiltonians for universal adiabatic quantum computers J.D. Biamonte and Peter J. Love In Physical Review A 78‚ 012352. 2008. Details | BibTeX | Download | DOI (10.1103/PhysRevA.78.012352)   Non−perturbative k−body to two−body commuting conversion Hamiltonians and embedding problem instances into Ising spins J.D. Biamonte In Physical Review A 77‚ 052331. 2008. Details | BibTeX | Download | DOI (10.1103/PhysRevA.77.052331)   Four−level realization of 3−qubit reversible functions Guowu Yang‚ Xiaoyu Song‚ Marek A. Perkowski‚ William N. N. Hung‚ Jacob Biamonte and Zhiwei Tang In IET Computers and Digital Techniques. Vol. 1. No. 4. Pages 382–388. 2007. Details | BibTeX | Link | DOI (10.1049/iet-cdt:20060097)   Sign and magnitude tunable coupler for superconducting flux qubits R. Harris et al. In Physical Review Letters 98‚ 177001. 2007. Details | BibTeX   Fault testing quantum switching circuits Jacob Biamonte and Marek Perkowski In IET Circuits‚ Devices & Systems. 2006. Details | BibTeX | Link   The Cost of Quantum Gates Soonchil Lee‚ Seong−Joo Lee‚ Taegon Kim‚ Jae−Seung Lee‚ Jacob Biamonte and Marek Perkowski In Journal of Multiple−Valued Logic and Soft Computing. Vol. 12. No. 5−6. Pages 561−574. 2006. Details | BibTeX | Link (html)   Test set generation and fault localization software for reversible circuits Dean Pierce‚ Jacob Biamonte and Marek Perkowski In Proc. 7th International Symposium on Representations and Methodologies for Emergent Computing Technologies‚ Tokyo‚ Japan. Pages 8. September, 2005. Details | BibTeX | Download (pdf)   ATPG for reversible circuits using technology−related fault models J.S. Allen‚ J.D. Biamonte and M. Perkowski In Proc. 7th International Symposium on Representations and Methodology of Future Computing Technologies. Pages 8. September, 2005. Details | BibTeX | Download (pdf) | DOI (10.1.1.83.6049)   Extending classical test to quantum Jacob D. Biamonte; Minki Jeong; Jae−Seung Lee; Marek A. Perkowski In Proc. SPIE. Vol. 5842. No. 194. Pages 194−205. 2005. Details | BibTeX | Link | DOI (10.1117/12.623715)   Test generation and fault localization for quantum circuits M Perkowski and J Biamonte In ISMVL '05 Proceedings of the 35th International Symposium on Multiple−Valued Logic. Pages 62−68. 2005. Details | BibTeX | Link | DOI (10.1109/ISMVL.2005.46)