swap test and Hong-Ou-Mandel effect are equivalent
- 29 May 2013
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 87 (5) , 052330
Abstract
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.Keywords
All Related Versions
This publication has 21 references indexed in Scilit:
- Detecting the Drift of Quantum Sources: Not the de Finetti TheoremPhysical Review Letters, 2011
- Nonlocality and communication complexityReviews of Modern Physics, 2010
- A Fabry–Perot-like two-photon interferometer for high-dimensional time-bin entanglementJournal of Modern Optics, 2005
- Quantum mechanical description of linear opticsAmerican Journal of Physics, 2004
- Quantum cryptographyReviews of Modern Physics, 2002
- Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular MomentumPhysical Review Letters, 2001
- Quantum FingerprintingPhysical Review Letters, 2001
- From Schrödinger’s equation to the quantum search algorithmAmerican Journal of Physics, 2001
- The capacity of the quantum channel with general signal statesIEEE Transactions on Information Theory, 1998
- Measurement of subpicosecond time intervals between two photons by interferencePhysical Review Letters, 1987