The checkerboard family of entangled states of two qutrits

Open Physics - Tập 9 Số 1 - 2011
Dragomir Ž. Djoković1
1Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

Tóm tắt

AbstractBy modifying the method of Bruß and Peres, we construct two new families of entangled two qutrit states. For all density matrices ρ in these families we have ρ ij = 0 for i + j odd. The first family depends on 27 independent real parameters and includes both PPT and NPT states. The second family consists of PPT entangled states. The number of independent real parameters of this family is ≥ 11

Từ khóa


Tài liệu tham khảo

B. Baumgartner, B.C. Hiesmayr, H. Narnhofer, Phys. Rev. A 74, 032327 (2006)

B. Baumgartner, B.C. Hiesmayr, H. Narnhofer, Phys. Lett. A 372, 2190 (2008)

C.H. Bennett, D.P. DiVincenzo, T. Mor, P.W. Shor, J.A. Smolin, B.M. Terhal, Phys. Rev. Lett. 82, 5385 (1999)

W.M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry (Academic Press, New York, 1975)

D. Bruß, A. Peres, Phys. Rev. A 61, 030301(R) (2000)

J.I. de Vincente, Quantum Inf. Comput. 7, 624 (2007)

D.P. DiVincenzo, T. Mor, P.W. Shor, J.A. Smolin, B.M. Terhal, Commun. Math. Phys. 238, 379 (2003)

K.-C. Ha, S.-H. Kye, J. Phys. A-Math. Gen. 38, 9039 (2005)

M. Horodecki, P. Horodecki, Phys. Rev. A 59, 4206 (1999)

M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A 223, 1 (1996)

M. Horodecki, P. Horodecki, R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998)

M. Horodecki, P. Horodecki, R. Horodecki, In G. Alber et al. (Ed.), Quantum Information Theory: An Intro- duction to Basic Theoretical Concepts and Experiments, Springer Tracts in Modern Physics Vol. 173 (Springer Verlag, Berlin, 2001) 151

P. Horodecki, Phys. Lett. A 232, 333 (1997)

W.C. Kim, S.-H. Kye, Phys. Lett. A 369, 16 (2007)

A. Peres, Phys. Rev. Lett. 77, 1413 (1996)

P.W. Shor, J.A. Smolin, B.M. Terhal, Phys. Rev. Lett. 86, 2681 (2001)