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| URI | http://purl.tuc.gr/dl/dias/9ED6A9CA-1681-482E-8AE6-FF248CD10196 | - |
| Αναγνωριστικό | https://doi.org/10.22331/q-2021-05-04-454 | - |
| Αναγνωριστικό | https://quantum-journal.org/papers/q-2021-05-04-454/ | - |
| Γλώσσα | en | - |
| Μέγεθος | 19 pages | en |
| Τίτλος | Qubit-efficient encoding schemes for binary optimisation problems | en |
| Δημιουργός | Tan Benjamin | en |
| Δημιουργός | Lemonde Marc-Antoine | en |
| Δημιουργός | Thanasilp Supanut | en |
| Δημιουργός | Tangpanitanon Jirawat | en |
| Δημιουργός | Angelakis Dimitrios | en |
| Δημιουργός | Αγγελακης Δημητριος | el |
| Εκδότης | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften | en |
| Περίληψη | We propose and analyze a set of variational quantum algorithms for solving quadratic unconstrained binary optimization problems where a problem consisting of nc classical variables can be implemented on O(lognc) number of qubits. The underlying encoding scheme allows for a systematic increase in correlations among the classical variables captured by a variational quantum state by progressively increasing the number of qubits involved. We first examine the simplest limit where all correlations are neglected, i.e. when the quantum state can only describe statistically independent classical variables. We apply this minimal encoding to find approximate solutions of a general problem instance comprised of 64 classical variables using 7 qubits. Next, we show how two-body correlations between the classical variables can be incorporated in the variational quantum state and how it can improve the quality of the approximate solutions. We give an example by solving a 42-variable Max-Cut problem using only 8 qubits where we exploit the specific topology of the problem. We analyze whether these cases can be optimized efficiently given the limited resources available in state-of-the-art quantum platforms. Lastly, we present the general framework for extending the expressibility of the probability distribution to any multi-body correlations. | 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 | 2022-12-01 | - |
| Ημερομηνία Δημοσίευσης | 2021 | - |
| Θεματική Κατηγορία | Variational quantum algorithms | el |
| Θεματική Κατηγορία | Binary optimization problems | en |
| Βιβλιογραφική Αναφορά | B. Tan, M.-A. Lemonde, S. Thanasilp, J. Tangpanitanon, and D. G. Angelakis, “Qubit-efficient encoding schemes for binary optimisation problems,” Quantum, vol. 5, May 2021, doi: 10.22331/q-2021-05-04-454. | en |
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