Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems

Details Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems

2005-08-29

arxiv.org/abs/quant-ph/0508221v2

Phys. Rev. A 73, 032330 (2006).

Physics

Quantum Physics

13 pages, 1 figures, Version 2: Typos corrected, references fixed and new ones added, also includes referees suggested changes

Scientific paper

10.1103/PhysRevA.73.032330

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.

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