Affiliation:
1. Department of Physics University of Miami P.O. Box 248046 Coral Gables FL 33124 USA
2. Department of Physics and Astronomy University of Bologna Via Irnerio 46 Bologna I‐40126 Italy
3. INFN Sezione di Bologna Via Irnerio 46 Bologna I‐40126 Italy
Abstract
AbstractThe 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.
Funder
Directorate for Mathematical and Physical Sciences
Università di Bologna
Istituto Nazionale di Fisica Nucleare
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