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Two-Way Teleportation

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Grudka A., Chhajlany R.

Acta Physica Polonica A

2003

vol. 104

issue 5

409-413

A protocol for teleporting two qudits simultaneously in opposite directions using a single pair of maximally entangled qudits is presented. This procedure works provided that the product of dimensions d_1 and d_2 of the two qudits to be teleported does not exceed the dimension d of the individual qudits in the maximally entangled pair.

Towards Spin-Wave Like Approach to the J-J' Heisenberg Antiferromagnet in Terms of Composite Spins

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Grzybowski P., Chhajlany R.

Acta Physica Polonica A

2009

vol. 115

issue 1

168-170

Conventional spin-wave approach relies on an expansion around a relevant classical (unentangled) ground state or equivalently the ground state in the mean field approximation for the quantum model. However, for systems which may admit valence bond ground states, such as the staggered J-J' Heisenberg antiferromagnet, single site mean field approximation is obviously an incorrect zeroth order approximation. In this paper, we introduce a mean field approximation for clusters consisting of two spins connected by a strong bond in the aforementioned model. We identify the quantum critical point and calculate the ground state magnetization within this cluster mean field approximation in one and two dimensions. Finally, we derive an effective dimer Hamiltonian, in the standard basis operator formalism, which may be a basis for further spin-wave like expansions around the cluster mean field approximation ground state.

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2 Acta Physica Polonica A

1 2009

1 2003

2 Chhajlany R.

1 Grudka A.

1 Grzybowski P.

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Two-Way Teleportation

Towards Spin-Wave Like Approach to the J-J' Heisenberg Antiferromagnet in Terms of Composite Spins