Title
Quantum computation using action variables
Abstract
In 2014, Lloyd and Montangero have made a brief research proposal on universal quantum computation in integrable systems. The main idea is to encode qubits into quantum action variables and build up quantum gates by the method of resonant control. We study this proposal to argue quantum computation using action variables as fault-tolerant quantum computation, whose fault tolerance is guaranteed by the quantum KAM theorem. Besides, we view the Birkhoff norm form as a mathematical framework of the extended harmonic oscillator quantum computation.
Year
DOI
Venue
2022
10.1007/s11128-022-03693-5
Quantum Information Processing
Keywords
DocType
Volume
Quantum computing, Integrable system, Action variable, KAM theorem, Birkhoff normal form, Quantum Hamilton–Jacobi equation
Journal
21
Issue
ISSN
Citations 
10
1573-1332
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Yong Zhang1406.01
Konglong Wu200.34