Entanglement, Discord and Other Quantum Correlations
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Abstract
While symmetry considerations have played a central role in many areas of physics, this has not been true in the new field of quantum information (computation, cryptography, and teleportation). We will discuss states and operators of two (or more) qubits, and higher dimensional "qudits," from the symmetry groups and algebras pertaining to them. The study of the time evolution of such systems can gain much from the insights and techniques provided by such considerations, especially of sub-groups relevant to particular Hamiltonians. Geometrical pictures that generalize the familiar Bloch sphere of a single spin/qubit are one product of such studies.
Bio
A. Ravi. P. Rau is a Professor of Physics at Louisiana State University who conducts theoretical studies in atomic and molecular physics. He has held visiting faculty positions at Yale, the Raman Research Institute, Bangalore, India, the Tata Institute of Fundamental Research, Bombay, India, the Australian National University, Camberra, and the University of Freiberg, German. he was also a Visiting Fellow at the Joint Institute for Laboratory Astrophysics, Boulder, Co, in 1984. He is a Fellow of the American Physical Society and wa awarded the K. S. Krishman Gold Medal from the University of Delhi.
Our recent interest is in the area of quantum information: studies of entanglement and other correlations such as quantum discord, their evolution under dissipative and decoherent processes and how they may be controlled, geometrical and symmetry studies of operators and states of N qubits and connections betweem the Lie and clifford algebras involved with topics in projective geometry and design theory.
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