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Mariami Gachechiladze

Mariami Gachechiladze PhD student

Room: B-111

Phone: +49 271 740 3716

Publications

See also arxiv

M. Gachechiladze, O. Gühne
Completing the proof of "Generic quantum nonlocality"
Phys. Lett. A 381, 1281 (2017), arXiv:1607.02948

In a recent paper by Popescu and Rohrlich [1] a proof has been presented showing that any pure entangled multiparticle quantum state violates some Bell inequality. We point out a gap in this proof, but we also give a construction to close this gap. It turns out that with some extra effort all the results from the aforementioned publication can be proven. Our construction shows how two-particle entanglement can be generated via performing local projections on a multiparticle state.

M. Gachechiladze, N. Tsimakuridze and O. Gühne
Graphical description of unitary transformations on hypergraph states
J. Phys. A: Math. Theor. 50, 19LT01 (2017), arXiv:1612.01447

Hypergraph states form a family of multiparticle quantum states that generalizes cluster states and graph states. We study the action and graphical representation of nonlocal unitary transformations between hypergraph states. This leads to a generalization of local complementation and graphical rules for various gates, such as the CNOT gate and the Toffoli gate. As an application we show that already for five qubits local Pauli operations are not sufficient to check local equivalence of hypergraph states. Furthermore, we use our rules to construct entanglement witnesses for three-uniform hypergraph states.

M. Gachechiladze, C. Budroni, O. Gühne
Extreme violation of local realism in quantum hypergraph states
Phys. Rev. Lett. 116, 070401 (2016), arXiv:1507.03570

Hypergraph states form a family of multiparticle quantum states that generalizes the well-known concept of Greenberger-Horne-Zeilinger states, cluster states, and more broadly graph states. We study the nonlocal properties of quantum hypergraph states. We demonstrate that the correlations in hypergraph states can be used to derive various types of nonlocality proofs, including Hardy-type arguments, Bell inequalities for genuine multiparticle nonlocality, and an exponentially increasing violation of local realism. Our results suggest that certain classes of hypergraph states are novel resources for quantum metrology and measurement-based quantum computation.



Master Thesis