Quantum tomography for Dirac spinors

Abstract

We present a tomographic scheme, based on spacetime symmetries, for the reconstruction of the internal degrees of freedom of a Dirac spinor. We discuss the circumstances under which the tomographic group can be taken as SU(2), and how this crucially depends on the choice of the gamma matrix representation. A tomographic reconstruction process based on discrete rotations is considered, as well as a continuous alternative.

9 pages, LaTeX; v2: minor changes, references added. A slightly revised version has been accepted for publication in Phys. Lett. A

References in corpus (9)

• Symplectic tomography as classical approach to quantum systems
• Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
• Quantum Time Evolution in Terms of Nonredundant Expectation Values
• Different realizations of tomographic principle in quantum state measurement
• Quasiprobability and Probability Distributions for Spin 1/2 States
• The Pauli Equation for Probability Distributions
• Group Theoretical Quantum Tomography
• Clifford Algebras and Spinors
• Relativistic properties of marginal distributions

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• A probabilistic approach to quantum mechanics based on tomograms
• Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method
• Additional fermionic fields onto parallelizable 7-spheres
• Emergent spinor fields from exotic spin structures
• New constrained generalized Killing spinor field classes in warped flux compactifications