Universal control of quantum subspaces and subsystems

Journal Article · Sun Feb 01 00:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.022313· OSTI ID:20640705

Zanardi, Paolo ^[1]; Lloyd, Seth ^[1]

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1. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We describe a broad dynamical-algebraic framework for analyzing the quantum control properties of a set of naturally available interactions. General conditions under which universal control is achieved over a set of subspaces/subsystems are found in terms of the representation theory of the group U{sub A} of allowed quantum evolutions. In some cases universal control can be achieved in all the state-space sectors carrying an irreducible action of U{sub A}. All known physical examples of universal control on subspaces/systems are related to the framework developed here. Implications for quantum-information processing are discussed.

• OSTI ID: 20640705
• Journal Information: Physical Review. A, Vol. 69, Issue 2; Other Information: DOI: 10.1103/PhysRevA.69.022313; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONTROL
CORRELATIONS
DATA PROCESSING
ENERGY LEVELS
EVOLUTION
GROUP THEORY
INFORMATION THEORY
QUANTUM MECHANICS
SPACE