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      High-Dimensional Pixel Entanglement: Efficient Generation and Certification

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          Abstract

          Photons offer the potential to carry large amounts of information in their spectral, spatial, and polarisation degrees of freedom. While state-of-the-art classical communication systems routinely aim to maximize this information-carrying capacity via wavelength and spatial-mode division multiplexing, quantum systems based on multi-mode entanglement usually suffer from low state quality, long measurement times, and limited encoding capacity. At the same time, entanglement certification methods often rely on assumptions that compromise security. Here we show the certification of photonic high-dimensional entanglement in the transverse position-momentum degree-of-freedom with a record quality, measurement speed, and entanglement dimensionality, without making any assumptions about the state or channels. Using a tailored macro-pixel basis, precise spatial-mode measurements, and a modified entanglement witness, we demonstrate state fidelities of up to 94.4% in a 19-dimensional state-space, entanglement in up to 55 local dimensions, and an entanglement-of-formation of up to 4 ebits. Furthermore, our measurement times show an improvement of more than two orders of magnitude over previous state-of-the-art demonstrations. Our results pave the way for noise-robust quantum networks that saturate the information-carrying capacity of single photons.

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          On-chip generation of high-dimensional entangled quantum states and their coherent control

          Optical quantum states based on entangled photons are essential for solving questions in fundamental physics and are at the heart of quantum information science. Specifically, the realization of high-dimensional states (D-level quantum systems, that is, qudits, with D > 2) and their control are necessary for fundamental investigations of quantum mechanics, for increasing the sensitivity of quantum imaging schemes, for improving the robustness and key rate of quantum communication protocols, for enabling a richer variety of quantum simulations, and for achieving more efficient and error-tolerant quantum computation. Integrated photonics has recently become a leading platform for the compact, cost-efficient, and stable generation and processing of non-classical optical states. However, so far, integrated entangled quantum sources have been limited to qubits (D = 2). Here we demonstrate on-chip generation of entangled qudit states, where the photons are created in a coherent superposition of multiple high-purity frequency modes. In particular, we confirm the realization of a quantum system with at least one hundred dimensions, formed by two entangled qudits with D = 10. Furthermore, using state-of-the-art, yet off-the-shelf telecommunications components, we introduce a coherent manipulation platform with which to control frequency-entangled states, capable of performing deterministic high-dimensional gate operations. We validate this platform by measuring Bell inequality violations and performing quantum state tomography. Our work enables the generation and processing of high-dimensional quantum states in a single spatial mode.
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            Multidimensional quantum entanglement with large-scale integrated optics

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              Significant-Loophole-Free Test of Bell’s Theorem with Entangled Photons

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                Author and article information

                Contributors
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                Journal
                Quantum
                Quantum
                Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
                2521-327X
                December 24 2020
                December 24 2020
                : 4
                : 376
                Affiliations
                [1 ]Institute of Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh, UK
                [2 ]Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia
                [3 ]Institute of Computer Science, Masaryk University, Brno, Czech Republic
                [4 ]Institute for Quantum Optics and Quantum Information - IQOQI Vienna, Austrian Academy of Sciences, Vienna, Austria
                [5 ]Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria
                Article
                10.22331/q-2020-12-24-376
                943fedb2-217c-489f-ad81-c35161a38d42
                © 2020

                https://creativecommons.org/licenses/by/4.0/

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