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arXiv · 2507.13308

Simple ways of preparing qudit Dicke states

Noah B. Kerzner·Federico Galeazzi·Rafael I. Nepomechie
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Abstract

Dicke states are permutation-invariant superpositions of qubit computational basis states, which play a prominent role in quantum information science. We consider here two higher-dimensional generalizations of these states: $SU(2)$ spin-$s$ Dicke states and $SU(d)$ Dicke states. We present various ways of preparing both types of qudit Dicke states on a qudit quantum computer, using two main approaches: a deterministic approach, based on exact canonical matrix product state representations; and a probabilistic approach, based on quantum phase estimation. The quantum circuits are explicit and straightforward, and are arguably simpler than those previously reported.

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Noah B. Kerzner, Federico Galeazzi, Rafael I. Nepomechie. 2025-07-17. Simple ways of preparing qudit Dicke states. https://doi.org/10.2478/qic-2025-0036

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