Spin‐s$s$ Dicke States and Their Preparation
Abstract The notion of spin‐ 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 qudit Dicke states. They satisfy a recursion formula, which is used to formulate an efficient quantum circuit for their preparation, whose size scales as , where is the number of qudits and 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.
Authors
- David Raveh (ORCID: https://orcid.org/0000-0001-6818-8159)
- Rafael I. Nepomechie (ORCID: https://orcid.org/0000-0003-1000-3400)
- Francesco Ravanini (ORCID: https://orcid.org/0000-0003-4538-3984)
Institutions
- University of Miami (US)
- Istituto Nazionale di Fisica Nucleare, Sezione di Bologna (IT)
- University of Bologna (IT)
Publication Details
- Journal
- Advanced Quantum Technologies
- Published
- 2024-09-09
- DOI
- https://doi.org/10.1002/qute.202400057
- Citations
- 7
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 2.43
Funders
- National Science Foundation
- Università di Bologna
- Istituto Nazionale di Fisica Nucleare
- Directorate for Mathematical and Physical Sciences