The fastest generation of multipartite entanglement with natural interactions

Natural interactions among multiple quantum objects are fundamentally composed of two-body terms only. In contradistinction, single global unitaries that generate highly entangled states typically arise from Hamiltonians that couple multiple individual subsystems simultaneously. Here, we study the t...

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Published in:arXiv.org 2023-09
Main Authors: Cieśliński, Paweł, Kłobus, Waldemar, Kurzyński, Paweł, Paterek, Tomasz, Laskowski, Wiesław
Format: Article
Language:English
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Entangled states
Quantum entanglement
Qubits (quantum computing)
Speed limits
Subsystems
Symmetry
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Kłobus, Waldemar
Kurzyński, Paweł
Paterek, Tomasz
Laskowski, Wiesław
description Natural interactions among multiple quantum objects are fundamentally composed of two-body terms only. In contradistinction, single global unitaries that generate highly entangled states typically arise from Hamiltonians that couple multiple individual subsystems simultaneously. Here, we study the time to produce strongly nonclassical multipartite correlations with a single unitary generated by the natural interactions. We restrict the symmetry of two-body interactions to match the symmetry of the target states and focus on the fastest generation of multipartite entangled Greenberger-Horne-Zeilinger (GHZ), W, Dicke and absolutely maximally entangled (AME) states for up to seven qubits. These results are obtained by constraining the energy in the system and accordingly can be seen as state-dependent quantum speed limits for symmetry-adjusted natural interactions. They give rise to a counter-intuitive effect where the creation of particular entangled states with an increasing number of particles does not require more time. The methods used rely on extensive numerical simulations and analytical estimations.
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subjects Entangled states
Quantum entanglement
Qubits (quantum computing)
Speed limits
Subsystems
Symmetry
title The fastest generation of multipartite entanglement with natural interactions
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