| 書目名稱 | Finite and Profinite Quantum Systems | | 編輯 | Apostolos Vourdas | | 視頻video | http://file.papertrans.cn/344/343674/343674.mp4 | | 概述 | Provides a unique overview of finite quantum systems in a pedagogical form suitable for advanced students and researchers alike, presenting theory complemented with examples.Offers an introduction to | | 叢書名稱 | Quantum Science and Technology | | 圖書封面 |  | | 描述 | .This monograph provides an introduction to finite quantum systems, a field at the interface between quantum information and number theory, with applications in quantum computation and condensed matter physics...The first major part of this monograph studies the so-called `qubits‘ and `qudits‘, systems with periodic finite lattice as position space. It also discusses the so-called mutually unbiased bases, which have applications in quantum information and quantum cryptography. Quantum logic and its applications to quantum gates is also studied.?.The second part studies finite quantum systems, where the position takes values in a Galois field. This combines quantum mechanics with Galois theory. The third part extends the discussion to quantum systems with variables in profinite groups, considering the limit where the dimension of the system becomes very large. It uses the concepts of inverse and direct limit and studies quantum mechanics on p-adic numbers...Applications of the formalism include quantum optics and quantum computing, two-dimensional electron systems in magnetic fields and the magnetic translation group, the quantum Hall effect, other areas in condensed matter physics, | | 出版日期 | Book 2017 | | 關鍵詞 | Finite quantum systems; Galois fields; Profinite groups; Mutually unbiased bases; Quantum Logic; Heisenbe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-59495-8 | | isbn_softcover | 978-3-319-86636-9 | | isbn_ebook | 978-3-319-59495-8Series ISSN 2364-9054 Series E-ISSN 2364-9062 | | issn_series | 2364-9054 | | copyright | Springer International Publishing AG 2017 |
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