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BERRY-LIKE PHASE AND GAUGE FIELD IN QUANTUM COMPUTING

    https://doi.org/10.1142/9789814383332_0006Cited by:1 (Source: Crossref)
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    Abstract:

    We show that global geometric properties and gauge invariance play a non-trivial role in quantum computing and in quantum optics. The covariant derivative operator is constructed and related to free energy. Global geometric (Berry-like phase) characterization of the system and its gauge invariant behavior are described as properties emerging from the collective behavior of fluctuating quantum phases of qubit states.