Entanglement capabilities of the spin representation of (3+1)D-conformal transformations

Authors:
Klaus Scharnhorst
Affiliations:
Department of Physics and Astronomy, Faculty of Sciences, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands
Venue:
Quantum Information & Computation
Year:
2013

Citing 4
Cited 0

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Abstract

Relying on a mathematical analogy of the pure states of the two-qubit system of quantum information theory with four-component spinors we introduce the concept of the intrinsic entanglement of spinors. To explore its physical sense we study the entanglement capabilities of the spin representation of (pseudo-) conformal transformations in (3+1)- dimensional Minkowski space-time. We find that only those tensor product structures can sensibly be introduced in spinor space for which a given spinor is not entangled.