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• W3136622682 abstract "We investigate the possibilities for a deterministic conversion between two important types of maximally entangled multiqubit states, namely, $W$ and Greenberger-Horne-Zeilinger (GHZ) states, in the Rydberg-blockade regime of a neutral-atom system where each atom is subject to four external laser pulses. Such interconversions between $W$ states and their GHZ counterparts have quite recently been addressed using the method of shortcuts to adiabaticity, more precisely techniques based on Lewis-Riesenfeld invariants [R.-H. Zheng et al., Phys. Rev. A 101, 012345 (2020)]. Motivated in part by this recent work, we revisit the $W$ to GHZ state-conversion problem using a fundamentally different approach, which is based on the dynamical symmetries of the system and a Lie-algebraic parametrization of its permissible evolutions. In contrast to the previously used invariant-based approach, which leads to a state-conversion protocol characterized by strongly time-dependent Rabi frequencies of external lasers, ours can also yield one with time-independent Rabi frequencies. This feature makes our protocol more easily applicable experimentally, with the added advantage that it allows the desired state conversion to be carried out in a significantly shorter time with the same total laser pulse energy used." @default.
• W3136622682 created "2021-03-29" @default.
• W3136622682 creator A5025287869 @default.
• W3136622682 creator A5025438151 @default.
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• W3136622682 date "2021-03-22" @default.
• W3136622682 modified "2023-10-03" @default.
• W3136622682 title "Conversion from <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>W</mml:mi></mml:math> to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach" @default.
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• W3136622682 doi "https://doi.org/10.1103/physreva.103.032427" @default.
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