Hector Bombin

Research Interests

Topological quantum error-correcting codes and their connections with statistical mechanics, topological quantum computation and topological order.

Recent Publications

• H. Bombin, G. Duclos-Cianci, D. Poulin, Universal topological phase of 2D stabilizer codes, New J. Phys. 14, 073048 (2012), arxiv: 1103.4606
• Ruben S. Andrist, H. Bombin, Helmut G. Katzgraber, M. A. Martin-Delgado, Optimal error correction in topological subsystem codes, Phys. Rev. A 85, 050302 (2012), arxiv: 1204.1838
• H. Bombin, Ruben S. Andrist, Masayuki Ohzeki, Helmut G. Katzgraber, M. A. Martin-Delgado, Strong Resilience of Topological Codes to Depolarization, Phys. Rev. X 2, 021004 (2012), arxiv: 1202.1852
• H. Bombin, M.A. Martin-Delgado, Nested Topological Order, New J. Phys. 13, 125001 (2011), arxiv: 0803.429
• R. S. Andrist, H. G. Katzgraber, H. Bombin, M. A. Martin-Delgado, Tricolored Lattice Gauge Theory with Randomness: Fault-Tolerance in Topological Color Codes, New J. Phys. 13, 083006 (2011), arxiv: 1005.0777
• H. Bombin, Cliord Gates by Code Deformation, New J. Phys. 13, 043005 (2011), arxiv: 1006.5260
• H. Bombin, Topological Order with a Twist: Ising Anyons from an Abelian Model, Phys. Rev. Lett. A 81, 030403 (2010) arxiv: 1004.1838
• H. Bombin, Topological Subsystem Codes, Phys. Rev. A 81, 032301 (2010), arxiv: 0908.4246
• M. Kargarian, H. Bombin, M.A. Martin-Delgado, Topological Color Codes and Two-Body Quantum Lattice Hamiltonians, New J. Phys. 12, 025017 (2010), arxiv: 0906.4127
• H.G. Katzgraber, H. Bombin, R.S. Andrist, M.A. Martin-Delgado, Topological color codes on Union Jack lattices: A stable implementation of the whole Clifford group, Phys. Rev. A 81, 012319 (2010), arxiv: 0910.0573
• H.G. Katzgraber, H. Bombin, M.A. Martin-Delgado, Error Threshold for Color Codes and Random 3-Body Ising Models, Phys. Rev. Lett. 103, 090501 (2009), arxiv: 0902.4845
• H. Bombin, M. Kargarian, M.A. Martin-Delgado, Interacting Anyonic Fermions in a Two-Body Color Code Model, Phys. Rev. B 80, 075111 (2009), arxiv: 0811.0911
• H. Bombin, M.A. Martin-Delgado, Quantum Measurements and Gates by Code Deformation, J. Phys. A: Math. Theor. 42, 095302 (2009), arxiv: 0704.2540
• H. Bombin, M.A. Martin-Delgado, An Interferometry-Free Protocol for Demonstrating Topological Order, Phys. Rev. B 78, 165128 (2008), arxiv: 0705.0007
• H. Bombin, M.A. Martin-Delgado, A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation, Phys. Rev. B 78, 115421 (2008), arxiv: 0712.0190
• H. Bombin, M.A. Martin-Delgado, Statistical Mechanical Models and Topological Color Codes, Phys. Rev. A 77, 042322 (2008), arxiv: 0711.0468
• H. Bombin, M.A. Martin-Delgado, Optimal Resources for Topological 2D Stabilizers Code: Comparative Study, Phys. Rev. A 76, 012305 (2007), arxiv: quant-ph/0703272
• H. Bombin, M.A. Martin-Delgado, Homological Error Correction: Classical and Quantum Codes, J. Math. Phys. 48, 052105 (2007), arxiv: 0605094
• H. Bombin, M.A. Martin-Delgado, Topological Computation without Braiding, Phys. Rev. Lett. 98, 160502 (2007), arxiv: quant-ph/0610024
• H. Bombin, M.A. Martin-Delgado, Exact Topological Order in D=3 and Beyond: Branyons and Brane-Net Condensates, Phys. Rev. B 75, 075103 (2007), arxiv: cond-mat/0607736
• H. Bombin, M.A. Martin-Delgado, Topological Quantum Distillation, Phys. Rev. Lett 97, 180501 (2006), arxiv: quant-ph/0605138
• H. Bombin, M.A. Martin-Delgado, Topological Quantum Error Correction with Optimal Encoding Rate, Phys. Rev. A 73, 062303 (2006), arxiv: quant-ph/0602063
• H. Bombin, M.A. Martin-Delgado, Entanglement Distillation Protocols and Number Theory, Phys. Rev. A 72, 032313 (2005), arxiv: quant-ph/0503013
• H. Bombin, Structure of 2D Topological Stabilizer Codes, arxiv: 1107.2707
• H. Bombin, R. W. Chhajlany, M. Horodecki, M.A. Martin-Delgado, Self-Correcting Quantum Computers, arxiv: 0907.5228
• H. Bombin, M. Kargarian, M.A. Martin-Delgado Quantum 2-Body Hamiltonian for Topological Color Codes, in "Fortschritte der Physik, Proceedings of the Scala Conference 2009", D. Vitali, I Marzoli, S. Mancini, G. Di Giuseppe (editors), Fortsch. Phys. 57, 1103(2009) arxiv: 0907.0948
• H. Bombin, M.A. Martin-Delgado, D-Colexes: Topological Computation and Brane-Net Condensates, in "Quantum Communication, Measurement and Computing", O. Hirota, J.H. Shapiro and M. Sasaki (editors), NICT Press, 2006 (pp. 77-80).
• H. Bombin, M.A. Martin-Delgado, Quantum Distillation Protocols and Number Theory, in "Quantum Information Processing: From Theory to Experiment", D.G. Angelakis, M. Christandl, A. Ekert, A. Kay and S. Kulik (editors), IOS Press, NATO Science Se- ries: Computer and Systems Sciences, vol. 199, May 2006 (pp. 34-40).

Seminars

• Strong Resilience of Topological Codes to Depolarization, Coogeeâ
• Structure of 2D Topological Stabilizer Codes, 2nd International Conference on Quantum Error Correction, Los Angeles, USA
• Universal topological phase of 2D stabilizer codes, Quantum Information in Many Body Physics, Montreal, Canada
• Topological quantum error correcting codes and statistical physics, Quantum Information meets Statistical Mechanics (Cursos de Verano de El Escorial), El Escorial, Spain
• H. Bombin, Structure of 2D Topological Stabilizer Codes, 6th Conference on Theory of Quantum Computation, Communication and Cryptography (TQC), Madrid, Spain
• Anyons, Twists and Topological Codes, Caltech, Pasadena, USA
• Anyons, Twists and Topological Codes, Universidad Complutense de Madrid, Madrid, Spain
• Anyons, Twists and Topological Codes, Kinki University, Osaka, Japan
• Topological Quantum Error Correcting Codes and Statistical Physics, Kyoto University, Kyoto, Japan
• Anyons, Twists and Topological Codes, INTRIQ Conference, Sherbrooke, Canada
• Anyons, Twists and Topological Codes, INTRIQ, Sherbrooke, Canada
• Clifford Group by Code Deformation on Topological Subsystem Codes, AQIS'10 Conference, University of Tokyo, Tokyo, Japan
• Twists in Topological Codes, QAMF Workshop, University of British Columbia, Vancouver, Canada
• Topological Quantum Error Correcting Codes and Statistical Physics, Tokyo Institute of Technology, Tokyo, Japan
• Topological Subsystem Codes, Imperial College, London, UK
• Topological Subsystem Codes, Universidad Complutense de Madrid, Madrid, Spain
• Topological Subsystem Codes, National Quantum Information Centre, Gdansk, Poland
• Interacting Anyonic Fermions in a Two-Body Color Code Model, University of New Mexico, Albuquerque, USA
• Interacting Anyonic Fermions in a Two-Body Color Code Model, Texas A&M University, College Station, USA
• Interacting Anyonic Fermions in a Two-Body Color Code Model, Caltech, Pasadena, USA
• Topological Error Correction, INQI, Gdansk, Poland
• Interacting Anyonic Fermions in a Two-Body Color Code Model, ITF, Amsterdam, Netherlands
• Topological Color Codes, 1st International Conference on Quantum Error Correction, Los Angeles, USA
• A family of non-Abelian Kitaev models on the lattice, 4th Mini-Symposium on Topological Quantum Computation, Ringberg Castle, Germany
• Quantum Measurements and Gates by Code Deformation, MPQ-MPIPKS, Garching, Germany
• Quantum Measurements and Gates by Code Deformation, Quantum Computation and Topological Orders (Cursos de Verano de El Escorial), El Escorial, Spain
• Quantum Measurements and Gates by Code Deformation, 3rd Mini-Symposium on Topological Phases and Quantum Computation, Innsbruck, Austria
• D-Colexes: Topological Computation and Brane-Net Condensates, APS March Meeting, Denver, USA
• Topological Color codes, 2nd Mini Symposium on Topological Quantum Computation, Maynooth, Ireland
• Topological Clifford Group and Topological Order, Symposium on Quantum Technologies, The Cambridge-MIT Institute, Cambridge, UK