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Three qubits can be entangled in two inequivalent ways

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single… Expand

Long-distance quantum communication with atomic ensembles and linear optics

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Cold Bosonic Atoms in Optical Lattices

- D. Jaksch, C. Bruder, J. Cirac, C. Gardiner, P. Zoller
- Physics
- 26 May 1998

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the… Expand

Matrix product state representations

- D. Pérez-García, F. Verstraete, M. Wolf, J. Cirac
- Computer Science, Mathematics
- Quantum Inf. Comput.
- 25 August 2006

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Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication

- H. Briegel, W. Dür, J. Cirac, P. Zoller
- Computer Science
- 28 December 1998

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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

- F. Verstraete, V. Murg, J. Cirac
- Physics, Mathematics
- 1 March 2008

This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected… Expand

Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

- F. Verstraete, J. Cirac
- Physics
- 2 July 2004

We describe quantum many--body systems in terms of projected entangled--pair states, which naturally extend matrix product states to two and more dimensions. We present an algorithm to determine… Expand

Quantum State Transfer and Entanglement Distribution among Distant Nodes in a Quantum Network

- J. Cirac, P. Zoller, H. Kimble, H. Mabuchi
- Physics
- 12 November 1996

We propose a scheme to utilize photons for ideal quantum transmission between atoms located at spatially separated nodes of a quantum network. The transmission protocol employs special laser pulses… Expand

Optimization of entanglement witnesses

- M. Lewenstein, B. Kraus, J. Cirac, P. Horodecki
- Physics
- 2 May 2000

An entanglement witness (EW) is an operator that allows to detect entangled states. We give necessary and sufficient conditions for such operators to be optimal, i.e. to detect entangled states in an… Expand

Dipole blockade and quantum information processing in mesoscopic atomic ensembles.

- M. Lukin, M. Fleischhauer, +4 authors P. Zoller
- Physics, Medicine
- Physical review letters
- 7 November 2000

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