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Phys. Rev. Lett. 105, 100507 (2010) [4 pages]

Four-Qubit Entanglement Classification from String Theory

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L. Borsten1,*, D. Dahanayake1,†, M. J. Duff1,‡, A. Marrani2,§, and W. Rubens1,**
1Theoretical Physics, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
2Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305-4060, USA

Received 30 June 2010; published 2 September 2010

We invoke the black-hole–qubit correspondence to derive the classification of four-qubit entanglement. The U-duality orbits resulting from timelike reduction of string theory from D=4 to D=3 yield 31 entanglement families, which reduce to nine up to permutation of the four qubits.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.100507
DOI:
10.1103/PhysRevLett.105.100507
PACS:
03.67.Mn, 03.65.Ud, 04.70.Dy, 11.25.Mj

*leron.borsten@imperial.ac.uk

duminda.dahanayake@imperial.ac.uk

m.duff@imperial.ac.uk

§marrani@lnf.infn.it

**william.rubens06@imperial.ac.uk