Geometric Algebra in Quantum Information Processing

  title={Geometric Algebra in Quantum Information Processing},
  author={Timothy F. Havel and C. Doran},
  journal={arXiv: Quantum Physics},
This paper develops a geometric model for coupled two-state quan- tum systems (qubits) using geometric (aka Clifford) algebra. It begins by showing how Euclidean spinors can be interpreted as entities in the geometric algebra of a Euclidean vector space. This algebra is then lifted to Minkowski space-time and its associated geometric algebra, and the insights this provides into how density operators and entanglement behave under Lorentz transfor- mations are discussed. The direct sum of… Expand
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