By Apostolos Vourdas
This monograph presents an advent to finite quantum platforms, a box on the interface among quantum details and quantity concept, with purposes in quantum computation and condensed subject physics.
The first significant a part of this monograph reports the so-called `qubits' and `qudits', structures with periodic finite lattice as place area. It additionally discusses the so-called together impartial bases, that have functions in quantum details and quantum cryptography. Quantum good judgment and its functions to quantum gates can also be studied.
The moment half experiences finite quantum structures, the place the location takes values in a Galois box. This combines quantum mechanics with Galois conception. The 3rd half extends the dialogue to quantum platforms with variables in profinite teams, contemplating the restrict the place the size of the process turns into very huge. It makes use of the ideas of inverse and direct restrict and stories quantum mechanics on p-adic numbers.
Applications of the formalism comprise quantum optics and quantum computing, two-dimensional electron structures in magnetic fields and the magnetic translation crew, the quantum corridor impact, different components in condensed subject physics, and quickly Fourier Transforms.
The monograph combines principles from quantum mechanics with discrete arithmetic, algebra, and quantity idea. it's compatible for graduate scholars and researchers in quantum physics, arithmetic and machine science.
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This monograph offers an creation to finite quantum platforms, a box on the interface among quantum details and quantity idea, with functions in quantum computation and condensed subject physics. the 1st significant a part of this monograph experiences the so-called `qubits' and `qudits', structures with periodic finite lattice as place area.
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Finite and Profinite Quantum Systems (Quantum Science and Technology) by Apostolos Vourdas
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