Nested multilevel entanglement in Matryoshka states

Guha Majumdar, M (2021) Nested multilevel entanglement in Matryoshka states. In: Pramana - Journal of Physics, 95 (4).

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Abstract

In this paper, the concept of nested multilevel entanglement is studied and formulated in terms of Matryoshka states. The generation of Matryoshka quantum resource states, which contain nested entanglement patterns, based on an anisotropic XY spin�spin interaction-based model has been proposed. Other classes of nested entanglement, such as in Matryoshka generalised GHZ states and Matryoshka Q-GHZ states, are studied. Generation, characterisation and application of a genuinely entangled seven-qubit resource state close to being a Matryoshka Q-GHZ states is explored, with theoretical schemes for quantum teleportation of arbitrary one-, two- and three-qubits states, bidirectional teleportation of arbitrary two-qubit states and probabilistic circular controlled teleportation proposed for the state. Fractal network protocols, surface codes and graph states as well as generation of arbitrary entangled states at remote locations are also discussed, to highlight the importance of this class of quantum states. © 2021, Indian Academy of Sciences.

Item Type:	Journal Article
Publication:	Pramana - Journal of Physics
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer
Keywords:	Qubits, -a; 03.65.; 03.67.; GHZ-state; Lx; Multilevels; Multipartite entanglements; Quantum state sharing; Ud, Quantum entanglement
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	21 Dec 2021 05:49
Last Modified:	21 Dec 2021 05:49
URI:	http://eprints.iisc.ac.in/id/eprint/70679

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