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Practical schemes of detecting entanglement with a single Hong-Ou-Mandel interferometer via quantum 2-design

Joonwoo Bae

In this work, we show that measurement in quantum 2-design, such as mutually unbiased bases (MUBs) or symmetric, informationally complete states (SICs), improves the capability of detecting entangled states both theoretically and experimentally. On the theoretical side, we show that measurement in quantum 2-design can detect entangled states twice compared to entanglement witnesses. On the implementation side, we present the scheme of entanglement detection with two detectors only of a Hong-Ou-Mandel interferometer. The experimental scheme applies single-copy level measurement followed by post-processing of measurement outcomes, which is feasible with current technologies.In this work, we show that measurement in quantum 2-design, such as mutually unbiased bases (MUBs) or symmetric, informationally complete states (SICs), improves the capability of detecting entangled states both theoretically and experimentally. On the theoretical side, we show that measurement in quantum 2-design can detect entangled states twice compared to entanglement witnesses. On the implementation side, we present the scheme of entanglement detection with two detectors only of a Hong-Ou-Mandel interferometer. The experimental scheme applies single-copy level measurement followed by post-processing of measurement outcomes, which is feasible with current technologies.

Quantum Communications and Quantum ImagingAug 30, 20170 citations

Numerical symmetrization of state of identical particles

O. V. Utyuzh, Grzegorz Andrzej Wilk, Z. Włodarczyk

The method of numerical symmetrization of state of identical particles proposed by us before is clarified and discussed.

arXiv:hep-ph/0610408Brazilian Journal of PhysicsJun 1, 20075 citations

The Bragg regime of the two-particle Kapitza–Dirac effect

Pedro Sancho

We analyse the Bragg regime of the two-particle Kapitza–Dirac arrangement, completing the basic theory of this effect. We provide a detailed evaluation of the detection probabilities for multi-mode states, showing that a complete description must include the interaction time in addition to the usual dimensionless parameter w . The arrangement can be used as a massive two-particle beam splitter. In this respect, we present a comparison with Hong–Ou–Mandel-type experiments in quantum optics. The analysis reveals the presence of dips for massive bosons and a differentiated behaviour of distinguishable and identical particles in an unexplored scenario. We suggest that the arrangement can provide the basis for symmetrization verification schemes.We analyse the Bragg regime of the two-particle Kapitza–Dirac arrangement, completing the basic theory of this effect. We provide a detailed evaluation of the detection probabilities for multi-mode states, showing that a complete description must include the interaction time in addition to the usual dimensionless parameter w . The arrangement can be used as a massive two-particle beam splitter. In this respect, we present a comparison with Hong–Ou–Mandel-type experiments in quantum optics. The analysis reveals the presence of dips for massive bosons and a differentiated behaviour of distinguishable and identical particles in an unexplored scenario. We suggest that the arrangement can provide the basis for symmetrization verification schemes.

arXiv:1107.0636Journal of Physics B Atomic Molecular and Optical PhysicsJun 29, 20117 citations

Error symmetrization in quantum computers

Asher Peres

It is possible to reduce some types of quantum computation errors by symmetrizing the quantum state of a redundant array. Various models are discussed.

arXiv:quant-ph/9605009May 13, 19963 citations

Second-order superposition operations via Hong-Ou-Mandel interference

Su-Yong Lee, Hyunchul Nha

We propose an experimental scheme to implement a second-order nonlocal superposition operation ${\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{a}}^{\ifmmode\dagger\else\textdagger\fi{}2}+{e}^{i\ensuremath{\varphi}}{\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{b}}^{\ifmmode\dagger\else\textdagger\fi{}2}$ and its variants by way of Hong-Ou-Mandel interference. The second-order coherent operations enable us to generate a NOON state with high particle number in a heralded fashion and also can be used to enhance the entanglement properties of continuous variable states. We discuss the feasibility of our proposed scheme considering realistic experimental conditions such as on-off photodetectors with nonideal efficiency and imperfect single-photon sources.We propose an experimental scheme to implement a second-order nonlocal superposition operation ${\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{a}}^{\ifmmode\dagger\else\textdagger\fi{}2}+{e}^{i\ensuremath{\varphi}}{\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{b}}^{\ifmmode\dagger\else\textdagger\fi{}2}$ and its variants by way of Hong-Ou-Mandel interference. The second-order coherent operations enable us to generate a NOON state with high particle number in a heralded fashion and also can be used to enhance the entanglement properties of continuous variable states. We discuss the feasibility of our proposed scheme considering realistic experimental conditions such as on-off photodetectors with nonideal efficiency and imperfect single-photon sources.

arXiv:1204.2687Physical Review AApr 10, 201246 citations

Entanglement generation through particle detection in systems of identical fermions

P.A. Bouvrie, A. Valdés-Hernández, A.P. Majtey +2 more

arXiv:1608.03456Annals of PhysicsJun 20, 201713 citations

A scheme for symmetrization verification

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A scheme for symmetrization verification

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