**Plenary Lecture
Pauli Matrices and Quantum Information**

**Professor Gregory L. Light**

Department of Finance

Providence College

Rhode Island, USA

E-mail: GLIGHT@providence.edu

**Abstract: **Since its inception quantum mechanics has been suffering from its foundational problem of the wave-particle duality, where all energies are treated as particles with waves interpreted as probabilities, resulting in enigmatic quantum entanglement, dark matter and energy, anti-matter asymmetry, and the neutrino parity asymmetry, to name just a few. On the other hand, the construct of a Hilbert space of all the wavefunctions is correct, precisely because it succeeds in integrating waves with particles, with the wavefunction serving as the probability distribution of a particle over the spacetime. The seemingly incongruent coexistence of astonishing experimental verifications of quantum theories and their glaring failures to explain all the notorious mysteries rests upon one missing piece: {(t+ti,x+yi,y+zi,z+xi)} that comprises of a linear space {(t,x,y,z)} and a circular space {(ti,yi,zi,xi)} coinciding as a diagonal four-manifold, where particle-waves reside with wave = probability = energy = 1/4 of the total energy of the particle-wave. As such, the mystery surrounding the complex number i in quantum mechanics is resolved at once: (x,y,z)=(i,0,0)≡(0,1,0), etc.. As a consequence, any distance λ between p and q in the spacetime {(t,x,y,z)} is instantly converted to a frequency ν = c/λ in the spacetime {(ti,yi,zi,xi)}, which has an equivalence-class-representatives-length of [0, 2×10⁻³⁴] meters; that is, p and q are represented in [0, 2×10⁻³⁴] meters, thus, quantum entanglement and the potential technology of instant information relay. My talk will revolve around Pauli matrices, which are the basis of quantum computation.

**Brief Biography of the Speaker: ** Dr. Gregory L. Light is Professor of Finance of Providence College (PC), where he has been teaching Statistics, Operations Research, among other quantitative subjects. Passionate in his subjects and caring for his students, he was nominated for the 2005 - 2006 Joseph R. Accinno Faculty Teaching Award by the PC Students Congress and more recently in 2015 awarded for teaching innovation. Equally engaged in has been his collaborative scholarly activities with his colleagues, opening new research avenues mutually. Dr. Light received his B.A. in Economics from National Taiwan University, M.B.A. from University of Illinois, Ph.D. in Business Economics and Public Policy from University of Michigan, followed by an M.A. in Mathematics by staying at UM-Ann Arbor and then a Ph.D.-ABD in Dynamical Systems in Applied Mathematics from Brown University. The dual tracks of his pursuits evolved from his interests in Mathematical Economics, Dynamical Systems and Physics. In Economics, he has proposed the analytic methodology of “relative derivatives” as an integration of elasticities in Economics with derivatives in Mathematics. In Physics, he has written a book, Quantum Particle-Waves in a Combined Universe by General Relativity, to be published soon. He plans to continue his interest in mathematical modeling, extending his research and enriching his teaching.