Related papers: Simple ways of preparing qudit Dicke states

Simple ways of preparing qudit Dicke states

URL: http://arxiv.org/abs/2507.13308v1
Date: Thu, 17 Jul 2025 17:27:26 GMT
Title: Simple ways of preparing qudit Dicke states
Authors: Noah B. Kerzner, Federico Galeazzi, Rafael I. Nepomechie,
Abstract summary: We consider two higher-dimensional generalizations of these states: $SU(2)$ spin-$s$ Dicke states and $SU(d)$ Dicke states.<n>We present various ways of preparing both types of qudit Dicke states on a qudit quantum computer, using two main approaches.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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