Control aspects of holonomic quantum computation
arXiv:quant-ph/0202055 · doi:10.1063/1.1888028
Abstract
A unifying framework for the control of quantum systems with non-Abelian holonomy is presented. It is shown that, from a control theoretic point of view, holonomic quantum computation can be treated as a control system evolving on a principal fiber bundle. An extension of methods developed for these classical systems may be applied to quantum holonomic systems to obtain insight into the control properties of such systems and to construct control algorithms for two established examples of the computing paradigm.
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Cited by in corpus (7)
- Geometry and symmetry of quantum and classical-quantum variational principles
- Schrödinger-Koopman quasienergy states of quantum systems driven by a classical flow
- Holonomy of a principal composite bundle connection, non-abelian geometric phases and gauge theory of gravity
- Adiabatic theorem for bipartite quantum systems in weak coupling limit
- Adiabatic quantum control hampered by entanglement
- Geometric and holonomic quantum computation
- Particle-Number Threshold for Non-Abelian Geometric Phases