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Schmidt modes of non-collinear biphoton angular wave functions are found analytically. The experimentally realizable procedure is described for their separation. Parameters of the Schmidt decomposition are used for evaluation of the degree…

Quantum Physics · Physics 2014-11-11 Mikhail Fedorov

Two-photon states entangled in continuous variables such as wavevector or frequency represent a powerful resource for quantum information protocols in higher-dimensional Hilbert spaces. At the same time, there is a problem of addressing…

A double-Gaussian model and the Schmidt modes are found for the biphoton wave function characterizing spontaneous parametric down-conversion with the degenerate collinear phase-matching of the type I and with a pulsed pump. The obtained…

Quantum Physics · Physics 2015-05-13 M. V. Fedorov , Yu. M. Mikhailova , P. A. Volkov

We demonastrate experimental technique for generating spatially single-mode broadband biphoton field. The method is based on dispersive optical element which precisely tailors the structure of type-I SPDC frequency angular spectrum in order…

Quantum Physics · Physics 2015-08-19 K. G. Katamadze , N. A. Borshchevskaya , I. V. Dyakonov , A. V. Paterova , S. P. Kulik

Polarization features and entanglement of biphoton polarization qutrits are briefly outlined. Schmidt modes of qutrits are found analytically and in a general form by the method different from the standard one and based on the original…

Quantum Physics · Physics 2013-08-13 Mikhail Fedorov , Nikolai Miklin

We report a proof-of-principle experiment demonstrating that appropriately chosen set of Hermite-Gaussian modes constitutes a Schmidt decomposition for transverse momentum states of biphotons generated in the process of spontaneous…

Quantum Physics · Physics 2015-03-19 S. S. Straupe , D. P. Ivanov , A. A. Kalinkin , I. B. Bobrov , S. P. Kulik

Entangled qudits, the high-dimensional entangled states, play an important role in the study of quantum information. How to prepare entangled qudits in an efficient and easy-to-operate manner is still a challenge in quantum technology.…

Quantum Physics · Physics 2023-07-18 Zi-Xiang Yang , Zi-Qi Zeng , Ying Tian , Shun Wang , Ryosuke Shimizu , Hao-Yu Wu , Shilong Liu , Rui-Bo Jin

We consider theoretically how to extract mode dependent single photons from a time/frequency multimode non-classical beam. To achieve this task, we calculate the properties of sum frequency generation with a pulse shaped pump, taking into…

Quantum Physics · Physics 2014-06-18 Valentin A. Averchenko , Valérian Thiel , Nicolas Treps

We develop a distillation protocol for multilevel qubits (qudits) using generalized beam splitters like in the proposal of Pan et al. for ordinary qubits. We find an acceleration with respect to the scheme of Bennet et al. when extended to…

Quantum Physics · Physics 2009-11-10 M. A. Martin-Delgado , M. Navascues

We report interferometric schemes to prepare arbitrary states of four-dimensional qudits (ququarts) based on biphoton states of ultrafast-pumped frequency-nondegenerate spontaneous parametric down-conversion. Preparation and tomographic…

Control over the joint spectral amplitude of a photon pair has proved highly desirable for many quantum applications, since it contains the spectral quantum correlations, and has crucial effects on the indistinguishability of photons, as…

Quantum Physics · Physics 2023-11-17 Anatoly Shukhin , Inbar Hurvitz , Sivan Trajtenberg-Mills , Ady Arie , Hagai Eisenberg

We theoretically investigate the spectral property of a biphoton state from multiplexed thermal atomic ensembles. This biphoton state originates from the cascade emissions, which can be generated by two weak pump fields under four-wave…

Quantum Physics · Physics 2020-04-10 T. H. Chang , G. -D. Lin , H. H. Jen

The Schmidt-decomposition formalism is proposed to be used for evaluation of the degree of quadrature entanglement in two-mode multiphoton states.

Quantum Physics · Physics 2020-04-22 Mikhail Fedorov

Purely azimuthal entanglement is analyzed for noncollinear frequency-degenerate biphoton states. The degree of azimuthal entanglement is found to be very high, with the Schmidt parameter $K$ on the order of the ratio of the pump waist to…

Quantum Physics · Physics 2016-03-23 M. V. Fedorov

In this work we present a simple method to reconstruct the complex spectral wavefunction of a biphoton, and hence gain complete information about the spectral and temporal properties of a photon pair. The technique, which relies on quantum…

We investigate the spectral properties of the biphoton state from the cascade emissions of cold atomic ensembles, which composes of a telecommunication photon (signal) followed by an infrared one (idler) via four-wave mixing.\ With…

Quantum Physics · Physics 2016-01-20 H. H. Jen , Y. -C. Chen

The ability to efficiently characterize the spatial correlations of entangled states of light is critical for applications of many quantum technologies such as quantum imaging. Here, we demonstrate highly efficient theoretical and…

Quantum Physics · Physics 2024-10-08 Mahtab Amooei , Girish Kulkarni , Jeremy Upham , Robert W. Boyd

Entanglement is a unique feature of quantum mechanics. In coupled systems of light and matter, entanglement manifests itself in the linear superposition of multipartite quantum states (e.g., parametrized by the multiple spatial, spectral,…

Quantum Physics · Physics 2024-11-14 Charles Roques-Carmes , Aviv Karnieli , David A. B. Miller , Shanhui Fan

We define a class of multi-mode single photon states suitable for quantum information applications. We show how standard amplitude modulation techniques may be used to control the pulse shape of single photon states.

Quantum Physics · Physics 2009-11-13 G. J. Milburn

The novel experimental realization of four-level optical quantum systems (ququarts) is presented. We exploit the polarization properties of frequency non-degenerate biphoton field to obtain such systems. A simple method that does not rely…

Quantum Physics · Physics 2007-05-23 E. V. Moreva , G. A. Maslennikov , S. S. Straupe , S. P. Kulik
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