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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…
Entanglement in Graph States and its Applications
- M. Hein, W. Dur, J. Eisert, R. Raussendorf, M. V. D. Nest, H. Briegel
- Computer Science, Physics
- 11 February 2006
This review gives a tutorial introduction into the theory of graph states, and discusses the basic notions and properties of these states, including aspects of non-locality, bi-partite and multi- partite entanglement and its classification in terms of the Schmidt measure.
Quantum repeaters based on entanglement purification
A scheme is presented that allows entanglement purification over arbitrary long channels and tolerates errors on the percent level and requires a polynomial overhead in time, and an overhead in local resources that grows only logarithmically with the length of the channel.
Distillability and partial transposition in bipartite systems
Institut fu¨r Theoretische Physik, Universit¨at Hannover, D-30167 Hannover, Germany(February 1, 2008)We study the distillability of a certain class of bipartitedensity operators which can be obtained…
Measurement-based quantum computation
Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics are harnessed and exploited. A number of models of quantum computation…
Classification of multiqubit mixed states: Separability and distillability properties
We give a complete, hierarchic classification for arbitrary multiqubit mixed states based on the separability properties of certain partitions. We introduce a family of N-qubit states to which any…
Separability and Distillability of Multiparticle Quantum Systems
We present a family of 3-qubit states to which any arbitrary state can be depolarized. We fully classify those states with respect to their separability and distillability properties. This provides a…
Multiparticle entanglement purification for two-colorable graph states (20 pages)
An experimental realization of a multiparty purification protocol in optical lattices which is issued to improve the fidelity of cluster states created in such systems.
Role of memory errors in quantum repeaters
It is shown that the communication distance is limited in standard operation mode due to memory errors resulting from unavoidable waiting times for classical signals, and how to overcome these limitations by improving local memory and introducing two operational modes of the quantum repeater.
Classical simulation versus universality in measurement-based quantum computation
It is shown that the Schmidt-rank width, a measure recently introduced to assess universality of resource states, plays a crucial role in also this context and is related to the optimal description of states in terms of tree tensor networks.