Finite and Profinite Quantum Systems [E-Book] / by Apostolos Vourdas.
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...
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Full text |
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Personal Name(s): | Vourdas, Apostolos, author |
Edition: |
1st ed. 2017. |
Imprint: |
Cham :
Springer,
2017
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Physical Description: |
XIII, 196 pages 7 illustrations, 4 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9783319594958 |
DOI: |
10.1007/978-3-319-59495-8 |
Series Title: |
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Quantum Science and Technology
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Subject (LOC): |
- Mathematical symbols
- 1 Introduction
- 2 Partial orders and Pontryagin duality
- 3 The ring ℤ (d)
- 4 Quantum systems with variables in ℤ (d)
- 5 Finite Geometries and Mutually Unbiased Bases
- 6 Quantum logic of finite quantum systems
- 7 Galois fields
- 8 Quantum systems with variables in GF(pe)
- 9 p-adic numbers and profinite groups
- 10 A quantum system with positions in the profinite group ℤp
- 11 A quantum system with positions in the profinite group ℤ
- Index.