Published September 2012
| Version v1
Journal article
Geometry of the adiabatic theorem
Creators
- 1. Departamento de Física, Instituto de Ciências Exatas e Biológicas, Universidade Federal de Ouro Preto, CEP 35400-000, Ouro Preto, Minas Gerais (Brazil)
- 2. Centro Federal de Educação Tecnológica de Minas Gerais Campus VIII, CEP 37022-560, Varginha, Minas Gerais (Brazil)
- 3. Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, CP 702, CEP 30161-970, Belo Horizonte, Minas Gerais (Brazil)
Description
We present a simple and pedagogical derivation of the quantum adiabatic theorem for two-level systems (a single qubit) based on geometrical structures of quantum mechanics developed by Anandan and Aharonov, among others. We have chosen to use only the minimum geometric structure needed for the understanding of the adiabatic theorem for this case. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/0143-0807/33/5/1063Additional details
Identifiers
Publishing Information
- Journal Title
- European Journal of Physics
- Journal Volume
- 33
- Journal Issue
- 5
- Journal Page Range
- p. 1063-1072
- ISSN
- 0143-0807
- CODEN
- EJPHD4
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 43128301
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ADIABATIC PROCESSES; QUANTUM MECHANICS; QUBITS; SIMULATION
- Descriptors DEC
- INFORMATION; MECHANICS; QUANTUM INFORMATION