Block spin density matrix of the inhomogeneous AKLT model

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Block spin density matrix of the inhomogeneous AKLT model

We study the inhomogeneous generalization of a 1-dimensional AKLT spin chain model. Spins at each lattice site could be different. Under certain conditions, the ground state of this AKLT model is unique and is described by the Valence-Bond-Solid (VBS) state. We calculate the density matrix of a contiguous block of bulk spins in this ground state. The density matrix is independent of spins outsi...

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ar X iv : 0 80 2 . 32 21 v 2 [ qu an t - ph ] 4 A pr 2 00 8 Entanglement and Density Matrix of a Block of Spins in AKLT Model

We study a 1-dimensional AKLT spin chain, consisting of spins S in the bulk and S/2 at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-Solid (VBS) state. We investigate the density matrix of a contiguous block of bulk spins in this ground state. It is shown that the density matrix is a projector onto a subspace of dimension (S + 1) 2 . This subspace is des...

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ژورنال

عنوان ژورنال: Quantum Information Processing

سال: 2008

ISSN: 1570-0755,1573-1332

DOI: 10.1007/s11128-008-0080-y