We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Grover's algorithm and the secant varieties.
- Authors
Holweck, Frédéric; Jaffali, Hamza; Nounouh, Ismaël
- Abstract
In this paper we investigate the entanglement nature of quantum states generated by Grover's search algorithm by means of algebraic geometry. More precisely we establish a link between entanglement of states generated by the algorithm and auxiliary algebraic varieties built from the set of separable states. This new perspective enables us to propose qualitative interpretations of earlier numerical results obtained by M. Rossi et al. We also illustrate our purpose with a couple of examples investigated in details.
- Subjects
QUANTUM states; ALGEBRAIC geometry; QUANTUM entanglement; ALGORITHMS; SECANT function
- Publication
Quantum Information Processing, 2016, Vol 15, Issue 11, p4391
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-016-1445-2