Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems
Abstract
The use of d-state systems, or qudits, in quantum information processing is discussed. Three-state and higher dimensional quantum systems are known to have very different properties from two-state systems, i.e., qubits. In particular there exist qudit states which are not equivalent under local unitary transformations unless a selection rule is violated. This observation is shown to be an important factor in the theory of decoherence-free, or noiseless, subsystems. Experimentally observable consequences and methods for distinguishing these states are also provided, including the explicit construction of new decoherence-free or noiseless subsystems from qutrits. Implications for simulating quantum systems with quantum systems are also discussed.
Keywords
Cite
@article{arxiv.quant-ph/0508221,
title = {Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems},
author = {Mark S. Byrd},
journal= {arXiv preprint arXiv:quant-ph/0508221},
year = {2009}
}
Comments
13 pages, 1 figures, Version 2: Typos corrected, references fixed and new ones added, also includes referees suggested changes and a new example