Spin-s Dicke states and their preparation
- URL: http://arxiv.org/abs/2402.03233v1
- Date: Mon, 5 Feb 2024 17:46:13 GMT
- Title: Spin-s Dicke states and their preparation
- Authors: Rafael I. Nepomechie, Francesco Ravanini, David Raveh
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 $s k n$ for $k\ll 2
s n$, 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.
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