The notion of su(2) spin-s Dicke states is introduced, 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 is used 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.
Nepomechie R.I., Ravanini F., Raveh D. (2024). Spin-s Dicke States and Their Preparation. ADVANCED QUANTUM TECHNOLOGIES, 2024, 1-11 [10.1002/qute.202400057].
Spin-s Dicke States and Their Preparation
Nepomechie R. I.Membro del Collaboration Group
;Ravanini F.Membro del Collaboration Group
;
2024
Abstract
The notion of su(2) spin-s Dicke states is introduced, 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 is used 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.| File | Dimensione | Formato | |
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