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Geometric phases in quantum information

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arxiv 1503.04847 v2 pith:D6T73BDT submitted 2015-03-16 quant-ph

classification quant-ph
keywords quantumdevelopmentinformationgeometricphaseswellapplicationscomputation
verification ladder T0 review T1 audit T2 compute T3 formal
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The rise of quantum information science has opened up a new venue for applications of the geometric phase (GP), as well as triggered new insights into its physical, mathematical, and conceptual nature. Here, we review this development by focusing on three main themes: the use of GPs to perform robust quantum computation, the development of GP concepts for mixed quantum states, and the discovery of a new type of topological phases for entangled quantum systems. We delineate the theoretical development as well as describe recent experiments related to GPs in the context of quantum information.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Observation of Geometric Phase in a Molecular Aharonov-Bohm System Using IBM Quantum Computer

    quant-ph 2019-09 reject novelty 3.0 of 10

    The paper reports measuring a π geometric phase for a two-level Longuet-Higgins Hamiltonian on IBM quantum hardware, but the circuit is a direct rotation rather than an adiabatic simulation.

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