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Spin-s Dicke states and their preparation
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abstract
We introduce the notion of $su(2)$ spin-$s$ Dicke states, which are higher-spin generalizations of usual (spin-1/2) Dicke states. These multi-qudit states can be expressed as superpositions of $su(2s+1)$ qudit Dicke states. They satisfy a recursion formula, which we use to formulate an efficient quantum circuit for their preparation, whose size scales as $sk(2sn-k)$, where $n$ is the number of qudits and $k$ is the number of times the total spin-lowering operator is applied to the highest-weight state. The algorithm is deterministic and does not require ancillary qudits.
Forward citations
Cited by 2 Pith papers
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Spin-$s$ $U(1)$-eigenstate preparation
A Gray-code-based quantum circuit prepares arbitrary fixed-digit-sum (U(1)) eigenstates of spin-s chains, yielding the first preparation of spin-s XXX Bethe states.
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Benchmarking Quantum Simulations of the Lipkin-Meshkov-Glick Model Using Large Tensor Networks
DMRG yields LMG ground energies to N=1400; on IBM hardware SQD stays within ~1% to ~17 particles while VQE does so only near N=6.
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