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Spontaneous parametric down-conversion (SPDC) is the most widely-used source of high-dimensional entangled two-photon states, and the entanglement in the spatial degree of freedom is considered best suited for harnessing high-dimensional…

The full Schmidt decomposition of spatiotemporally entangled states generated from spontaneous parametric down-conversion (SPDC) has not been carried out until now due to the immense computational complexity arising from the large…

量子物理 · 物理学 2026-02-10 Rakesh Pradhan , Girish Kulkarni

The amount of entanglement that exists in a parametric down-converted state is investigated in terms of all the degrees of freedom of the state. We quantify the amount of entanglement by the Schmidt number of the state, represented as a…

量子物理 · 物理学 2020-05-13 Filippus S. Roux

We investigate the procedure of Schmidt modes extraction in systems with continuous variables. An algorithm based on singular value matrix decomposition is applied to the study of entanglement in an "atom-photon" system with spontaneous…

量子物理 · 物理学 2007-05-23 A. Yu. Bogdanov , Yu. I. Bogdanov , K. A. Valiev

We study the spatial properties of high-gain parametric down-conversion (PDC). From the Hamiltonian we find the Schmidt modes, apply the Bloch-Messiah reduction, and calculate analytically the measurable quantities, such as the angular…

量子物理 · 物理学 2016-03-29 Polina R. Sharapova , Angela M. Perez , Olga V. Tikhonova , Maria V. Chekhova

In this work the Schmidt number of the two-photon state generated by parametric-down conversion (PDC) is evaluated in the framework of a fully spatio-temporal model for PDC. A comparison with the results obtained in either purely spatial or…

量子物理 · 物理学 2014-01-30 A. Gatti , T. Corti , E. Brambilla , D. B. Horoshko

Metasurface enables the generation and manipulation of multiphoton entanglement with flat optics, providing a more efficient platform for large-scale photonic quantum information processing. Here, we show that a single metasurface optical…

量子物理 · 物理学 2024-06-26 Kui An , Zilei Liu , Ting Zhang , Siqi Li , You Zhou , Xiao Yuan , Leiran Wang , Wenfu Zhang , Guoxi Wang , He Lu

We experimentally study the properties of coherent mode decomposition for intensity correlation function of quasi-thermal light. We use the technique of spatial mode selection developed for studying transverse entanglement of photon pairs,…

量子物理 · 物理学 2013-07-12 I. B. Bobrov , S. S. Straupe , E. V. Kovlakov , S. P. Kulik

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

量子物理 · 物理学 2020-04-22 Mikhail Fedorov

We report an experimental self-calibrating tomography scheme for entanglement characterization in high-dimensional quantum systems using Schmidt decomposition techniques. The self-tomography technique based on maximal likelihood estimation…

Entangled photons have the remarkable ability to be more sensitive to signal and less sensitive to noise than classical light. Joint photons can sample an object collectively, resulting in faster phase accumulation and higher spatial…

光学 · 物理学 2015-09-04 Chien-Hung Lu , Matthew Reichert , Xiaohang Sun , Jason W. Fleischer

Photons entangled in their position-momentum degrees of freedom (DoFs) serve as an elegant manifestation of the Einstein-Podolsky-Rosen paradox, while also enhancing quantum technologies for communication, imaging, and computation. The…

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,…

量子物理 · 物理学 2024-11-14 Charles Roques-Carmes , Aviv Karnieli , David A. B. Miller , Shanhui Fan

Entanglement among a large number of qubits is a crucial resource for many quantum algorithms. Such many-body states have been efficiently generated by entangling a chain of itinerant photonic qubits in the optical or microwave domain.…

Hyperentangled photonic states - exhibiting nonclassical correlations in several degrees of freedom - offer improved performance of quantum optical communication and computation schemes. Experimentally, a hyperentanglement of…

量子物理 · 物理学 2021-06-21 Michał Lipka , Michał Parniak

The characterization of high-dimensional entanglement plays a crucial role in the field of quantum information science. Conventional entanglement criteria measuring coherent superpositions of multiple basis states face experimental…

量子物理 · 物理学 2026-02-12 Jin-Min Liang , Shuheng Liu , Shao-Ming Fei , Qiongyi He

We present an entanglement-based quantitative phase gradient microscopy technique that employs principles from quantum ghost imaging and ghost diffraction. In this method, a transparent sample is illuminated by both photons of an entangled…

量子物理 · 物理学 2026-03-09 Yingwen Zhang , Paul-Antoine Moreau , Duncan England , Ebrahim Karimi , Benjamin Sussman

We derive an analytical form of the Schmidt modes of spontaneous parametric down-conversion (SPDC) biphotons in both Cartesian and polar coordinates. We show that these correspond to Hermite-Gauss (HG) or Laguerre-Gauss (LG) modes only for…

量子物理 · 物理学 2012-08-02 Filippo M. Miatto , Thomas Brougham , Alison M. Yao

Quantum entangled states of light are essential for quantum technologies and fundamental tests of physics. While quantum information science has relied on systems with entanglement in 2D degrees of freedom, e.g. quantum bits with…

光学 · 物理学 2017-10-06 Matthew Reichert , Hugo Defienne , Jason W. Fleischer

We explore, both experimentally and theoretically, the propagation dynamics of spatially entangled photon pairs (biphotons). Characterization of entanglement is done via the Schmidt number, which is a universal measurement of the degree of…

光学 · 物理学 2017-06-28 Matthew Reichert , Xiaohang Sun , Jason W. Fleischer
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