The fastest generation of multipartite entanglement with natural interactions

Pawe{\l} Cie\'sli\'nskiWaldemar K{\l}obusPawe{\l} Kurzy\'nskiTomasz PaterekWies{\l}aw Laskowski

Mar 2023

摘要

Natural interactions among multiple quantum objects are fundamentallycomposed of two-body terms only. In contradistinction, single global unitariesthat generate highly entangled states usually arise from Hamiltonians thatcouple multiple individual subsystems simultaneously. Is it then possible tocreate strongly nonclassical multipartite correlations with a single unitarygenerated by the natural interactions? How does the two-body restrictioninfluence the time required for that? We answer these questions by studying theunitary evolutions of quantum states that are generated by Hamiltonians withtwo-body interactions. Our main focus is on the fastest generation ofmultipartite entangled Greenberger-Horne-Zeilinger (GHZ), W, Dicke andabsolutely maximally entangled (AME) states for up to seven qubits. Theseresults are obtained by constraining the energy in the system and accordinglycan be seen as state-dependent quantum speed limits for natural interactions.They give rise to a counter-intuitive effect where the creation of particularentangled states with an increasing number of particles does not require moretime. The methods used rely on extensive numerical simulations and analyticalestimations.

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