4.6 Article

SWAP test and Hong-Ou-Mandel effect are equivalent

期刊

PHYSICAL REVIEW A
卷 87, 期 5, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.87.052330

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  1. Junta de Castilla y Leon [VA342B11-2]
  2. MICINN [TEC2010-21303-C04-04]

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We show that the Hong-Ou-Mandel effect from quantum optics is equivalent to the SWAP test, a quantum information primitive which compares two arbitrary states. We first derive a destructive SWAP test that does not need the ancillary qubit that appears in the usual quantum circuit. Then we study the Hong-Ou-Mandel effect for two photons meeting at a beam splitter and prove it is, in fact, an optical implementation of the destructive SWAP test. This result offers both an interesting simple realization of a powerful quantum information primitive and an alternative way to understand and analyze the Hong-Ou-Mandel effect.

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