Entanglement gauge and the non-Abelian geometric phase with two photonic qubits

Karl-Peter Marzlin, Stephen D. Bartlett, Barry C. Sanders

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    8 Citations (Scopus)
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    Abstract

    We introduce the entanglement gauge describing the combined effects of local operations and nonlocal unitary transformations on bipartite quantum systems. The entanglement gauge exploits the invariance of nonlocal properties for bipartite systems under local (gauge) transformations. This new formalism yields observable effects arising from the gauge geometry of the bipartite system. In particular, we propose a non-Abelian gauge theory realized via two separated spatial modes of the quantized electromagnetic field manipulated by linear optics. In this linear optical realization, a bipartite state of two separated spatial modes can acquire a non-Abelian geometric phase.
    Original languageEnglish
    Pages (from-to)022316-1-022316-9
    Number of pages9
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume67
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Bibliographical note

    Copyright 2003 by The American Physical Society. Reprinted from Physical review A.

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