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

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

doi:10.1103/PhysRevA.67.022316

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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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 language	English
Pages (from-to)	022316-1-022316-9
Number of pages	9
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	67
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.67.022316
Publication status	Published - 2003

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10.1103/PhysRevA.67.022316

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AB - 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.

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

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