swap test and Hong-Ou-Mandel effect are equivalent
By Juan Carlos García-Escartín, Pedro Chamorro-Posada. 2013
174 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/ad4cff261d06396592d1e32a9d205c7a89879318
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Patrick J. Coles
- M. Cerezo
- Lukasz Cincio
- Ryan Larose
- Suguru Endo
- Oscar Higgott
- Daochen Wang
- Stephen Brierley
In Atomic and Molecular Physics, and Optics
- M. Cerezo
- Patrick J. Coles
- Lukasz Cincio
- Suguru Endo
- Ryan Larose
- Mattia Fiorentini
- Ryuji Takagi
- Stefan H. Sack
Citations in the corpus
- Parameterized quantum circuits as machine learning models (2019, background): “Similarly, destructive SWAP and Hadamard tests [49, 117] could be gradually replaced by non-destructive variants.”
- Fundamental limits of quantum error mitigation (2021, methodology): “One can significantly reduce the circuit depth by employing the destructive SWAP test [67].”
- Quantum-assisted quantum compiling (2018, methodology): “Another way is to apply U to one copy of |ψ0〉 and V to another copy of |ψ0〉, and then measure the overlap [9, 43] between these two states.”
- Variational Quantum Computation of Excited States (2018, methodology): “[4, 10] that the same outcome distribution can be attained more efficiently without an ancilla, using parallel Bell-basis measurements and classical logic.”
- Variational Quantum Linear Solver (2019, methodology): “In particular, we introduce the Hadamard-Overlap Test circuit, which should be of interest on its own as it is likely to have applications outside of the scope of VQLS.”