Highly entangled multi-qubit states with simple algebraic structure
- 22 September 2009
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 42 (41)
- https://doi.org/10.1088/1751-8113/42/41/415301
Abstract
Recent works by Brown et al and Borras et al have explored numerical optimisation procedures to search for highly entangled multi-qubit states according to some computationally tractable entanglement measure. We present an alternative scheme based upon the idea of searching for states having not only high entanglement but also simple algebraic structure. We report results for 4, 5, 6, 7 and 8 qubits discovered by this approach, showing that many of such states do exist. In particular, we find a maximally entangled 6-qubit state with an algebraic structure simpler than the best results known so far. For the case of 7, we discover states with high, but not maximum, entanglement and simple structure, as well as other desirable properties. Some preliminary results are shown for the case of 8 qubits.Keywords
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This publication has 14 references indexed in Scilit:
- Quantum teleportation and state sharing using a genuinely entangled six-qubit stateJournal of Physics A: Mathematical and Theoretical, 2009
- Robustness of highly entangled multiqubit states under decoherencePhysical Review A, 2009
- Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit statePhysical Review A, 2008
- On maximal entanglement between two pairs in four-qubit pure statesJournal of Physics A: Mathematical and Theoretical, 2007
- Searching for highly entangled multi-qubit statesJournal of Physics A: General Physics, 2005
- Computable measure of entanglementPhysical Review A, 2002
- Limits for Entanglement MeasuresPhysical Review Letters, 2000
- Volume of the set of separable statesPhysical Review A, 1998
- Universal Scaling Functions for Numbers of Percolating Clusters on Planar LatticesPhysical Review Letters, 1996
- Optimization by Simulated AnnealingScience, 1983