Academic Journal
A generalisation of the Phase Kick-Back
| العنوان: | A generalisation of the Phase Kick-Back |
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| المؤلفون: | Ossorio-Castillo, Joaquín, Pastor–Díaz, Ulises, Tornero, José M. |
| المساهمون: | Ministerio de Ciencia e InnovaciÓn, Junta de Andalucía and ERDF |
| المصدر: | Quantum Information Processing ; volume 22, issue 3 ; ISSN 1573-1332 |
| بيانات النشر: | Springer Science and Business Media LLC |
| سنة النشر: | 2023 |
| الوصف: | In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing. We will begin by recalling the Phase Kick-Back technique to then introduce the new generalised version for $$f:\{0,1\}^{n}\rightarrow \{0,1\}^{m}$$ f : { 0 , 1 } n → { 0 , 1 } m functions using the eigenvalues of the oracle function $$\textbf{U}_f$$ U f . After that, we will present a new generalised version of the Deutsch–Jozsa problem and how it can be solved using the previously defined technique. We will also deal with a generalised version of the Bernstein–Vazirani problem and solve it using the generalised Phase Kick-Back. Finally, we show how we can use this technique to obtain an algorithm for Simon’s problem that improves the classical one. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1007/s11128-023-03884-8 |
| DOI: | 10.1007/s11128-023-03884-8.pdf |
| DOI: | 10.1007/s11128-023-03884-8/fulltext.html |
| الاتاحة: | http://dx.doi.org/10.1007/s11128-023-03884-8 https://link.springer.com/content/pdf/10.1007/s11128-023-03884-8.pdf https://link.springer.com/article/10.1007/s11128-023-03884-8/fulltext.html |
| Rights: | https://creativecommons.org/licenses/by/4.0 ; https://creativecommons.org/licenses/by/4.0 |
| رقم الانضمام: | edsbas.A7AA954 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s11128-023-03884-8 |
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