DOE OSTI · 2861361
Efficient Preparation of Dicke States
Abstract
Here, we present an algorithm utilizing midcircuit measurement and feedback that prepares Dicke states with polylogarithmically many ancillae and polylogarithmic depth. Our algorithm uses only global midcircuit projective measurements and adaptively chosen global rotations. This improves over prior work that was only efficient for Dicke states of low weight or was not efficient in both depth and width. Our algorithm can also naturally be implemented in a cavity QED context using logarithmic time, zero ancillae, and atom-photon coupling scaling with the square root of the system size.
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Yu, Jeffery [Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States). Joint Quantum Institute] (ORCID:0009000256162968), Muleady, Sean R. [Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States). Joint Quantum Institute] (ORCID:0000000250053763), Wang, Yu-Xin [Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)] (ORCID:0000000328481216), Schine, Nathan [Univ. of Maryland, College Park, MD (United States). Joint Quantum Institute], Gorshkov, Alexey V. [Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States). Joint Quantum Institute] (ORCID:0000000305093421), Childs, Andrew M. [Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)] (ORCID:000000029903837X). 2026-01-20. Efficient Preparation of Dicke States. https://doi.org/10.1103/9gjk-rgql
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