Renan Cabrera Lafuente PhD.

Education

• Ph.D. in Physics, University of Windsor, Ontario, Canada, 2007.
• M.Sc. in Physics, Creighton University, Omaha, NE, USA, 2003.
• Lic. in Physics, UMSA, La Paz, Bolivia, 1998

My Blog

Current Research

• Quantum control with emphasis in robust control .
• Geometric representation of quantum States and unitary operators.
• Quantum state estimation.
• Symbolic/Numerical computation and GPU computation.
• Numerical Linear Algebra
• Application of Lie groups in engineering.

PhD Thesis

• A Geometric Algebra Approach to n-Qubit Systems

MSc. Thesis

• Simulation of jets in heavy ion collisions for the ALICE experiment.

Licenciatura Thesis

• Search for GeV GRBs with the INCA experiment.

Publications

• Renan Cabrera, Ofer Shir, Rebing Wu, Herschel Rabitz, Fidelity Between Unitary Operators and the generation of gates, robust against off-resonance perturbations, J. Phys. A: Math. Theor. 44, 095302 (2011)
  arXiv:1101.3817

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• Renan Cabrera, Traci Strohecker ,Herschel Rabitz, The Canonical Coset Decomposition of Unitary Matrices Through Householder Transformations , J. Math. Phys. 51, 082101 (2010)
  arXiv:1008.2477

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• Renan Cabrera, Herschel Rabitz, Calculation of the Unitary part of the Bures Measure for N-level Quantum Systems , J. Phys. A: Math. Theor. 42 445302 (8pp) (2009)
  arXiv:0910.2910

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• Renan Cabrera, Herschel Rabitz, The landscape of quantum transitions driven by single-qubit unitary transformations with implications for entanglement, J. Phys. A: Math. Theor. 42 275303 (2009).
  arXiv:0910.1566

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• W. E. Baylis, R. Cabrera & J. D. Keselica, Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin , Advances in Applied Clifford Algebras, 21, 2010.
  arXiv:0710.3144

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• R. Cabrera, W. E. Bayis, C. Rangan, Sufficient condition for the coherent control of n-qubit systems Phys. Rev. A, 76 , 033401, 2007
  arXiv:quant-ph/0703220

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• R. Cabrera, W. E. Baylis Average Fidelity in n-Qubit systems, Phys. Lett. A, 368 , 25-28, 2007
  arXiv:quant-ph/0701084

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• David Park, Renan Cabrera, Jean-Francois Gouyet, Tensorial 4.0 - A Mathematica package for tensor calculus , MiER, Vol 12, Num 2, 2007

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• David Park, Renan Cabrera, Jean-Francois Gouyet, Applications of Tensorial 4.0 , MiER, Vol 12, Num 2, 2007
  Abstract

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• R. Cabrera et al., Search for GeV GRBs with the INCA experiment, Astronomy and Astrophysics, Suppl. Ser., 138, 599, (1999).

Preprints

• Denys I. Bondar, Renan Cabrera, Herschel A. Rabitz, Wigner Function's Negativity Demystified , arXiv:1202.3628

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• Denys I. Bondar, Renan Cabrera, Herschel A. Rabitz, Conceptual Inconsistencies of Finite-dimensional Quantum and Classical Dynamics , arXiv:1112.3679

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• Denys I. Bondar, Renan Cabrera, Robert R. Lompay, Misha Yu. Ivanov, Herschel A. Rabitz, The Ehrenfest Quantization: The Derivation of Quantum, Classical, and Unified Mechanics from Observable Data , arXiv:1105.4014

Some of my computer programs online

• PyNewtonCUDA: A propagator of classical particles using GPU computing through pycuda
• Tensorial 3.0 : A package for tensor calculus with applications in General Relativity and Hamiltonian Mechanics.
• Stability analysis of non-lineal differential equations
• Fractals
• The phase-space of the pendulum
• Logic Programming in Mathematica
• A package for Magnus expansion
• How to calculate eigenvalues with Lapack from C
• How to calculate the inverse of a complex matrix with Lapack from C++
• How to calculate the inverse of a complex matrix with Lapack from C
  Many more programs on numerical linear algebra in my blog