Gelo Noel M.Tabia
Reseach Fellow in Cryptography

Institute of Computer Science, University of Tartu

Research Interests: Quantum cryptography, Foundations of quantum mechanics, Quantum information theory
Education
University of Waterloo - Waterloo, Ontario, Canada

Major: Ph.D., Physics (Quantum Information), October 2013

Thesis:"Geometry of Quantum State Space from Symmetric Informationally Complete Probabilities"

Advisors: Chris Fuchs, Norbert Lütkenhaus

National University of Singapore - Singapore

Major: M.Sc., Physics (Research), October 2009

Thesis: "Security of a Basis-Independent Scheme for Quantum Cryptography"

Advisor: Berthold-Georg Englert

Major: B.Sc. (Honours), Physics, June 2006

Minor: Mathematics

Honors and Awards

Perimeter Institute PhD Award, 2010-2013

National University of Singapore Research Scholarship, 2006-2008

National University of Singapore Second Class Upper Honours in Physics, 2006

Singapore Scholarship (Ministry of Foreign Affairs), 2001-2006

Academic Experience
Institute of Computer Science, University of Tartu, Estonia
Research Fellow in Cryptography - March 2014 to present
  • Quantum cryptography research, particularly the post-quantum security of classical protocols
Perimeter Institute for Theoretical Physics, Canada
Graduate Student Researcher - September 2009 to March 2014
  • Research into foundations of quantum mechanics, particularly the geometry of quantum states in terms of SIC-POVM probabilities
Institute for Quantum Computing, University of Waterloo, Canada
Graduate Student Member - September 2009 to October 2013
  • Quantum information research, particularly schemes for implementing SIC-POVMs with linear optics
Centre for Quantum Technologies, National University of Singapore, Singapore
Graduate Student Member - August 2006 to October 2009
  • Quantum cryptography research, particularly a key distribution scheme using reference-frame-free qubits
National University of Singapore, Singapore
Full-time Teaching Assistant - August 2008 to June 2009
  • Prepared tutorial material and taught discussion classes for general education courses for non-physics majors:
    • GEK1520 Understanding the Universe -- introduction to modern astronomy
    • GEK2505 Taming Chaos -- general conecpts in chaos and nonlinear dynamics
Lab Demonstrator - August 2005 to April 2008
  • Managed experiments for physics lab for Engineering majors and Experimental Physics for Physics juniors
Professional Affiliations

Member, American Physical Society, 2009 to present

Associate Member, Institute of Physics UK, 2010 to present

Member, Estonian Physical Society , 2016 to present

Journal Publications

G. N. M. Tabia, "Recursive multiport schemes for implementing quantum algorithms with photonic integrated circuits," Physical Review A  93  (2016) 012323

G. Tabia, D. M. Appleby, "Exploring the geometry of qutrit state space with SIC-POVMs," Physical Review A  88  (2013) 012131

G. N. M. Tabia, "Experimental scheme for qubit and qutrit symmetric informationally complete positive operator-valued measurements using multiport devices", Physical Review A 86 (2012) 062107.

Z. E. D. Medendorp, F. A. Torres-Ruiz, L. K. Shalm, G. N. M. Tabia, C. A. Fuchs, A. M. Steinberg, "Experimental characterization of qutrits using SIC-POVMs", Physical Review A 83 (2011) 051801R.

G. Tabia, B.-G. Englert, "Efficient Quantum Key Distribution with Trines of Reference-Frame-Free Qubits," Physics Letters A 375 (2011) 817-822.

J. Suzuki, G. Tabia, B.-G. Englert, "Symmetric Construction of Reference-Frame-Free Qudits," Physical Review A 78 (2008) 052328.

G. Tabia, R. Parwani, "Universality in an Information-Theoretic Motivated Nonlinear Schrodinger Equation," IOP Journal of Physics A: Mathematical and Theoretical 40 (2007) 5621-5635.

Conference Proceedings

Mayuresh Vivekanand Anand, Ehsan Ebrahimi Targhi, Gelo Noel Tabia, and Dominique Unruh, "Post-Quantum Security of the CBC, CFB, OFB, CTR, and XTS Modes of Operation," Proc. 7th International Workshop on Post-Quantum Cryptography (Fukuoka, Japan, February 24-26, 2016) ,  9606  Lecture Notes in Computer Science, Springer (2016) 44-63.

Ehsan Ebrahimi Targhi, Gelo Noel Tabia, and Dominique Unruh, "Quantum Collision-Resistance of Non-Uniformly Distributed Functions," Proc. 7th International Workshop on Post-Quantum Cryptography (Fukuoka, Japan, February 24-26, 2016) ,  9606  Lecture Notes in Computer Science, Springer (2016) 79-85.

Conference Presentations

"Recursive linear optical networks for realizing quantum algorithms" , ( slides )
American Physical Society March Meeting 2016,  Baltimore Maryland, United States (14 - 18 March 2016).

"Quantum rewinding via phase estimation" ,
American Physical Society March Meeting 2015,  San Antonio, Texas, United States (2 - 6 March 2015).

"A Multiport Scheme for Performing SIC-POVMs",
American Physical Society March Meeting 2013,  Baltimore Maryland, United States (18 - 22 March 2013).

"Maximal Consistency and the Geometry of Quantum States",
Graduate Student Research Conference 2012,  University of Waterloo, Waterloo, Ontario, Canada (25 April 2012).

"Quantum State Space as a Maximal Consistent Set",
American Physical Society March Meeting 2012,  Boston, Massachusetts, United States (27 February - 2 March 2012)

"Qutrits Under a Microscope",
American Physical Society March Meeting 2011,  Dallas, Texas, United States (21 - 25 March 2011).

"Representing Quantum States via Symmetric Informationally-complete Measurements", AQuA First Graduate Student Congress on Quantum Information and Computation, Centre for Quantum Technologies, National University of Singapore, Singapore (5 - 12 December 2010).

"Exploring Qutrits Through Symmetric Informationally Complete Measurements",
American Physical Society March Meeting 2010, Portland, Oregon, United States (15 - 19 March 2010).

Poster Presentations

"Recursive quantum algorithms for integrated optics", 19th Conference on Quantum Information Processing , Banff Centre, Alberta, Canada (10-15 January 2016) .

Schools and Workshops Attended

21st Estonian Winter School in Computer Science (EWSCS), Palmse, Estonia (28 February -- 4 March 2016)

International Quantum Key Distribution Summer School , Institute for Quantum Computing, Waterloo, Ontario Canada (17 - 21 August 2015)

IEEE European School on Information Theory , Tallinn, Estonia (14 - 18 April 2014)

The Quantum Landscape, Perimeter Institute, Waterloo, Ontario, Canada (27 - 31 May 2013)

Workshop on Quantum Foundations in the Light of Quantum Information III, Centre de Recherches Mathmatiques (CRM), Universit de Montral, Montreal, Quebec, Canada (6 - 9 December 2011)

11th Canadian Summer School on Quantum Information and "Practical linear optical schemes for implementing qutrit SIC-POVMs", 8th Canadian Student Conference in Quantum Information, Jouvence, Centre de Villegiature, Orford, Quebec, Canada (6 - 17 June 2011).

Quantum Physics in Higher Dimensional Hilbert Spaces, International Akademie Traunkirchen, Klosterplatz 2, 4801 Traunkirchen, Austria (27 July - 1 August 2010).

Mathematical Horizons for Quantum Physics, Institute for Mathematical Sciences, National University of Singapore, Singapore (28 July - 17 August 2008).

Fourth Asia-Pacific Workshop and Third Asia-Pacific Conference on Quantum Information Science, Institute of Advanced Study, Nanyang Technological University, Singapore (30 July - 2 August 2007).

Talks and Seminars Given

"Quantum state space as a maximal consistent set", National Institute of Physics, University of the Philippines (17 July 2012).

"Maximal Consistent Sets and the Geometry of Physical State Space", Graduate Student Seminar, Institute of Mathematics, University of the Philippines (9 July 2012).

"Do quantum effects play a role in biology?", Physics 10 Undergraduate Seminar Series, Department of Physics and Astronomy, University of Waterloo (5 June 2012).

Research Notes
  • Entropy of SIC probability distributions for qubits and qutrits (pdf)
  • Quantum channels as affine maps on SIC probability distributions (pdf)
  • Implementing SIC-POVMs on a path-encoded optical storage loop (pdf)
  • PPBS projection as a weak measurement (pdf)
Course Reports
  • Quantum Logic (pdf)
  • Quantum Computing with Cluster States (pdf), (slides)
  • Cryptographic Security from Contextuality (pdf)
  • Neutrino Mass and Neutrino Oscillations (pdf), (slides)