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Ιδρυματικό Αποθετήριο [SANDBOX]
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| URI | http://purl.tuc.gr/dl/dias/8DE9069C-E11B-475F-A55B-B14051656B70 | - |
| Αναγνωριστικό | https://doi.org/10.3390/quantum4030015 | - |
| Αναγνωριστικό | https://www.mdpi.com/2624-960X/4/3/15 | - |
| Γλώσσα | en | - |
| Μέγεθος | 17 pages | en |
| Τίτλος | Entanglement in quantum search database: periodicity variations and counting | en |
| Δημιουργός | Ellinas Dimosthenis | en |
| Δημιουργός | Ελληνας Δημοσθενης | el |
| Δημιουργός | Konstantakis Christos | en |
| Δημιουργός | Κωνσταντακης Χρηστος | el |
| Εκδότης | MDPI | en |
| Περίληψη | Employing the single item search algorithm of N dimensional database it is shown that: First, the entanglement developed between two any-size parts of database space varies periodically during the course of searching. The periodic entanglement of the associated reduced density matrix quantified by several entanglement measures (linear entropy, von Neumann, Renyi), is found to vanish with period 𝒪(𝑠𝑞𝑟𝑡(𝑁)) . Second, functions of equal entanglement are shown to vary also with equal period. Both those phenomena, based on size-independent database bi-partition, manifest a general scale invariant property of entanglement in quantum search. Third, measuring the entanglement periodicity via the number of searching steps between successive canceling out, determines N, the database set cardinality, quadratically faster than ordinary counting. An operational setting that includes an Entropy observable and its quantum circuits realization is also provided for implementing fast counting. Rigging the marked item initial probability, either by initial advice or by guessing, improves hyper-quadratically the performance of those phenomena. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2024-04-18 | - |
| Ημερομηνία Δημοσίευσης | 2022 | - |
| Θεματική Κατηγορία | Quantum search | en |
| Θεματική Κατηγορία | Quantum entanglement | en |
| Θεματική Κατηγορία | Grover | en |
| Θεματική Κατηγορία | Counting | en |
| Βιβλιογραφική Αναφορά | D. Ellinas, and C. Konstandakis, “Entanglement in quantum search database: periodicity variations and counting,” Quantum Rep., vol. 4, no. 3, pp. 221-237, July 2022, doi: 10.3390/quantum4030015. | en |
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