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Qudit Dicke state preparation

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arxiv 2301.04989 v4 pith:TXPYXH37 submitted 2023-01-12 quant-ph

classification quant-ph
keywords dickestatesquditcircuitqubitanaloguesarbitrarycases
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Qudit Dicke states are higher-dimensional analogues of an important class of highly-entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for preparing arbitrary qudit Dicke states deterministically is formulated. An explicit decomposition of the circuit in terms of elementary gates is presented, and is implemented in cirq for the qubit and qutrit cases.

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  1. A dynamical algebra of protocol-induced transformations on Dicke states

    quant-ph 2024-12 conditional novelty 6.0 of 10

    Two qubit-adding and qubit-removing protocols on Dicke states realize the Weyl algebra W(2), and their composition yields su(2) with Krawtchouk-polynomial eigenstates.

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