Geometry of three-qubit entanglement
Journal Article
·
· Physical Review. A
- Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1111 Budapest Budafoki u.8 (Hungary)
A geometrical description of three-qubit entanglement is given. A part of the transformations corresponding to stochastic local operations and classical communication on the qubits is regarded as a gauge degree of freedom. Entangled states can be represented by the points of the Klein quadric Q, a space known from twistor theory. It is shown that three-qubit invariants are vanishing on special subspaces of Q with interesting geometric properties. An invariant characterizing the Greenberger-Horne-Zeilinger class is proposed. A geometric interpretation of the canonical decomposition and the inequality for distributed entanglement is also given.
- OSTI ID:
- 20650216
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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