The Qubits of Qunivac
James Baugh, David Finkelstein, Andrei Galiautdinov

TL;DR
The paper introduces Qunivac, a theoretical quantum cosmology model that extends quantum processes with a Clifford algebra framework, enabling Lorentz-invariant programming of the Dirac equation and incorporating gauge and field theories.
Contribution
It formulates a reversible quantum logic for the universe as a computer using Clifford algebras and quantum groups, extending quantum cosmology.
Findings
Qunivac's qubits obey Clifford-Wilczek statistics.
It allows Lorentz-invariant Dirac equation programming.
Qunivac includes a quantum gauge group.
Abstract
We formulate a theory of quantum processes, extend it to a generic quantum cosmology, formulate a reversible quantum logic for the Quantum Universe As Computer, or Qunivac. Qunivac has an orthogonal group of cosmic dimensionality. It has a Clifford algebra of ``cosmonions,'' extending the quaternions to a cosmological number of anticommuting units. Its qubits obey Clifford-Wilczek statistics and are associated with unit cosmonions. This makes it relatively easy to program the Dirac equation on Qunivac in a Lorentz-invariant way. Qunivac accommodates a field theory and a gauge theory. Its gauge group is necessarily a quantum group.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Algebraic and Geometric Analysis
