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Qudit Dicke state preparation
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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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A dynamical algebra of protocol-induced transformations on Dicke states
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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