--- _id: '9001' abstract: - lang: eng text: Quantum illumination is a sensing technique that employs entangled signal-idler beams to improve the detection efficiency of low-reflectivity objects in environments with large thermal noise. The advantage over classical strategies is evident at low signal brightness, a feature which could make the protocol an ideal prototype for non-invasive scanning or low-power short-range radar. Here we experimentally investigate the concept of quantum illumination at microwave frequencies, by generating entangled fields using a Josephson parametric converter which are then amplified to illuminate a room-temperature object at a distance of 1 meter. Starting from experimental data, we simulate the case of perfect idler photon number detection, which results in a quantum advantage compared to the relative classical benchmark. Our results highlight the opportunities and challenges on the way towards a first room-temperature application of microwave quantum circuits. acknowledgement: "This work was supported by the Institute of Science and Technology Austria (IST Austria), the European Research Council under grant agreement number 758053 (ERC StG QUNNECT) and the EU’s Horizon 2020 research and innovation programme under grant agreement number 862644 (FET Open QUARTET). S.B. acknowledges support from the Marie Skłodowska Curie\r\nfellowship number 707438 (MSC-IF SUPEREOM), DV acknowledge support from EU’s Horizon 2020 research and innovation programme under grant agreement number 732894 (FET Proactive HOT) and the Project QuaSeRT funded by the QuantERA ERANET Cofund in Quantum Technologies, and J.M.F from the Austrian Science Fund (FWF) through BeyondC (F71), a NOMIS foundation research grant, and the EU’s Horizon 2020 research and\r\ninnovation programme under grant agreement number 732894 (FET Proactive\r\nHOT)." article_number: '9266397' article_processing_charge: No author: - first_name: Shabir full_name: Barzanjeh, Shabir id: 2D25E1F6-F248-11E8-B48F-1D18A9856A87 last_name: Barzanjeh orcid: 0000-0003-0415-1423 - first_name: Stefano full_name: Pirandola, Stefano last_name: Pirandola - first_name: David full_name: Vitali, David last_name: Vitali - first_name: Johannes M full_name: Fink, Johannes M id: 4B591CBA-F248-11E8-B48F-1D18A9856A87 last_name: Fink orcid: 0000-0001-8112-028X citation: ama: 'Barzanjeh S, Pirandola S, Vitali D, Fink JM. Microwave quantum illumination with a digital phase-conjugated receiver. In: IEEE National Radar Conference - Proceedings. Vol 2020. IEEE; 2020. doi:10.1109/RadarConf2043947.2020.9266397' apa: 'Barzanjeh, S., Pirandola, S., Vitali, D., & Fink, J. M. (2020). Microwave quantum illumination with a digital phase-conjugated receiver. In IEEE National Radar Conference - Proceedings (Vol. 2020). Florence, Italy: IEEE. https://doi.org/10.1109/RadarConf2043947.2020.9266397' chicago: Barzanjeh, Shabir, Stefano Pirandola, David Vitali, and Johannes M Fink. “Microwave Quantum Illumination with a Digital Phase-Conjugated Receiver.” In IEEE National Radar Conference - Proceedings, Vol. 2020. IEEE, 2020. https://doi.org/10.1109/RadarConf2043947.2020.9266397. ieee: S. Barzanjeh, S. Pirandola, D. Vitali, and J. M. Fink, “Microwave quantum illumination with a digital phase-conjugated receiver,” in IEEE National Radar Conference - Proceedings, Florence, Italy, 2020, vol. 2020, no. 9. ista: 'Barzanjeh S, Pirandola S, Vitali D, Fink JM. 2020. Microwave quantum illumination with a digital phase-conjugated receiver. IEEE National Radar Conference - Proceedings. RadarConf: National Conference on Radar vol. 2020, 9266397.' mla: Barzanjeh, Shabir, et al. “Microwave Quantum Illumination with a Digital Phase-Conjugated Receiver.” IEEE National Radar Conference - Proceedings, vol. 2020, no. 9, 9266397, IEEE, 2020, doi:10.1109/RadarConf2043947.2020.9266397. short: S. Barzanjeh, S. Pirandola, D. Vitali, J.M. Fink, in:, IEEE National Radar Conference - Proceedings, IEEE, 2020. conference: end_date: 2020-09-25 location: Florence, Italy name: 'RadarConf: National Conference on Radar' start_date: 2020-09-21 date_created: 2021-01-10T23:01:17Z date_published: 2020-09-21T00:00:00Z date_updated: 2023-08-24T11:10:49Z day: '21' department: - _id: JoFi doi: 10.1109/RadarConf2043947.2020.9266397 ec_funded: 1 external_id: arxiv: - '1908.03058' isi: - '000612224900089' intvolume: ' 2020' isi: 1 issue: '9' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1908.03058 month: '09' oa: 1 oa_version: Preprint project: - _id: 26336814-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '758053' name: A Fiber Optic Transceiver for Superconducting Qubits - _id: 237CBA6C-32DE-11EA-91FC-C7463DDC885E call_identifier: H2020 grant_number: '862644' name: Quantum readout techniques and technologies - _id: 258047B6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '707438' name: 'Microwave-to-Optical Quantum Link: Quantum Teleportation and Quantum Illumination with cavity Optomechanics SUPEREOM' - _id: 257EB838-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '732894' name: Hybrid Optomechanical Technologies publication: IEEE National Radar Conference - Proceedings publication_identifier: isbn: - '9781728189420' issn: - 1097-5659 publication_status: published publisher: IEEE quality_controlled: '1' related_material: record: - id: '7910' relation: earlier_version status: public scopus_import: '1' status: public title: Microwave quantum illumination with a digital phase-conjugated receiver type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 2020 year: '2020' ... --- _id: '9007' abstract: - lang: eng text: Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle method to count “sufficiently free” rational points of bounded height on arbitrary smooth projective hypersurfaces of low degree that are defined over the rationals. article_processing_charge: No article_type: original author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Will full_name: Sawin, Will last_name: Sawin citation: ama: Browning TD, Sawin W. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 2020;95(4):635-659. doi:10.4171/CMH/499 apa: Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499 chicago: Browning, Timothy D, and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” Commentarii Mathematici Helvetici. European Mathematical Society, 2020. https://doi.org/10.4171/CMH/499. ieee: T. D. Browning and W. Sawin, “Free rational points on smooth hypersurfaces,” Commentarii Mathematici Helvetici, vol. 95, no. 4. European Mathematical Society, pp. 635–659, 2020. ista: Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659. mla: Browning, Timothy D., and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” Commentarii Mathematici Helvetici, vol. 95, no. 4, European Mathematical Society, 2020, pp. 635–59, doi:10.4171/CMH/499. short: T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659. date_created: 2021-01-17T23:01:11Z date_published: 2020-12-07T00:00:00Z date_updated: 2023-08-24T11:11:36Z day: '07' department: - _id: TiBr doi: 10.4171/CMH/499 external_id: arxiv: - '1906.08463' isi: - '000596833300001' intvolume: ' 95' isi: 1 issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1906.08463 month: '12' oa: 1 oa_version: Preprint page: 635-659 publication: Commentarii Mathematici Helvetici publication_identifier: eissn: - '14208946' issn: - '00102571' publication_status: published publisher: European Mathematical Society quality_controlled: '1' scopus_import: '1' status: public title: Free rational points on smooth hypersurfaces type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 95 year: '2020' ... --- _id: '9114' abstract: - lang: eng text: "Microwave photonics lends the advantages of fiber optics to electronic sensing and communication systems. In contrast to nonlinear optics, electro-optic devices so far require classical modulation fields whose variance is dominated by electronic or thermal noise rather than quantum fluctuations. Here we demonstrate bidirectional single-sideband conversion of X band microwave to C band telecom light with a microwave mode occupancy as low as 0.025 ± 0.005 and an added output noise of less than or equal to 0.074 photons. This is facilitated by radiative cooling and a triply resonant ultra-low-loss transducer operating at millikelvin temperatures. The high bandwidth of 10.7 MHz and total (internal) photon conversion\r\nefficiency of 0.03% (0.67%) combined with the extremely slow heating rate of 1.1 added output noise photons per second for the highest available pump power of 1.48 mW puts near-unity efficiency pulsed quantum transduction within reach. Together with the non-Gaussian resources of superconducting qubits this might provide the practical foundation to extend the range and scope of current quantum networks in analogy to electrical repeaters in classical fiber optic communication." acknowledged_ssus: - _id: M-Shop acknowledgement: "The authors acknowledge the support of T. Menner, A. Arslani, and T. Asenov from the Miba machine shop for machining the microwave cavity, and thank S. Barzanjeh, F. Sedlmeir, and C. Marquardt for fruitful discussions. This work is supported by IST Austria and the European Research Council under Grant No. 758053 (ERC StG QUNNECT). W.H. is the recipient of an ISTplus postdoctoral fellowship with funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant No. 754411.\r\nG.A. is the recipient of a DOC fellowship of the Austrian Academy of Sciences at IST Austria. J.M.F. acknowledges support from the Austrian Science Fund (FWF) through BeyondC (F71) and the European Union’s Horizon 2020 research and innovation program under Grant No. 899354 (FET Open SuperQuLAN). H.G.L.S. acknowledges support from the Aotearoa/New Zealand’s MBIE Endeavour Smart Ideas Grant No UOOX1805." article_number: '020315' article_processing_charge: No article_type: original author: - first_name: William J full_name: Hease, William J id: 29705398-F248-11E8-B48F-1D18A9856A87 last_name: Hease orcid: 0000-0001-9868-2166 - first_name: Alfredo R full_name: Rueda Sanchez, Alfredo R id: 3B82B0F8-F248-11E8-B48F-1D18A9856A87 last_name: Rueda Sanchez orcid: 0000-0001-6249-5860 - first_name: Rishabh full_name: Sahu, Rishabh id: 47D26E34-F248-11E8-B48F-1D18A9856A87 last_name: Sahu orcid: 0000-0001-6264-2162 - first_name: Matthias full_name: Wulf, Matthias id: 45598606-F248-11E8-B48F-1D18A9856A87 last_name: Wulf orcid: 0000-0001-6613-1378 - first_name: Georg M full_name: Arnold, Georg M id: 3770C838-F248-11E8-B48F-1D18A9856A87 last_name: Arnold orcid: 0000-0003-1397-7876 - first_name: Harald G.L. full_name: Schwefel, Harald G.L. last_name: Schwefel - first_name: Johannes M full_name: Fink, Johannes M id: 4B591CBA-F248-11E8-B48F-1D18A9856A87 last_name: Fink orcid: 0000-0001-8112-028X citation: ama: Hease WJ, Rueda Sanchez AR, Sahu R, et al. Bidirectional electro-optic wavelength conversion in the quantum ground state. PRX Quantum. 2020;1(2). doi:10.1103/prxquantum.1.020315 apa: Hease, W. J., Rueda Sanchez, A. R., Sahu, R., Wulf, M., Arnold, G. M., Schwefel, H. G. L., & Fink, J. M. (2020). Bidirectional electro-optic wavelength conversion in the quantum ground state. PRX Quantum. American Physical Society. https://doi.org/10.1103/prxquantum.1.020315 chicago: Hease, William J, Alfredo R Rueda Sanchez, Rishabh Sahu, Matthias Wulf, Georg M Arnold, Harald G.L. Schwefel, and Johannes M Fink. “Bidirectional Electro-Optic Wavelength Conversion in the Quantum Ground State.” PRX Quantum. American Physical Society, 2020. https://doi.org/10.1103/prxquantum.1.020315. ieee: W. J. Hease et al., “Bidirectional electro-optic wavelength conversion in the quantum ground state,” PRX Quantum, vol. 1, no. 2. American Physical Society, 2020. ista: Hease WJ, Rueda Sanchez AR, Sahu R, Wulf M, Arnold GM, Schwefel HGL, Fink JM. 2020. Bidirectional electro-optic wavelength conversion in the quantum ground state. PRX Quantum. 1(2), 020315. mla: Hease, William J., et al. “Bidirectional Electro-Optic Wavelength Conversion in the Quantum Ground State.” PRX Quantum, vol. 1, no. 2, 020315, American Physical Society, 2020, doi:10.1103/prxquantum.1.020315. short: W.J. Hease, A.R. Rueda Sanchez, R. Sahu, M. Wulf, G.M. Arnold, H.G.L. Schwefel, J.M. Fink, PRX Quantum 1 (2020). date_created: 2021-02-12T10:41:28Z date_published: 2020-11-23T00:00:00Z date_updated: 2023-08-24T11:16:36Z day: '23' ddc: - '530' department: - _id: JoFi doi: 10.1103/prxquantum.1.020315 ec_funded: 1 external_id: isi: - '000674680100001' file: - access_level: open_access checksum: b70b12ded6d7660d4c9037eb09bfed0c content_type: application/pdf creator: dernst date_created: 2021-02-12T11:16:16Z date_updated: 2021-02-12T11:16:16Z file_id: '9115' file_name: 2020_PRXQuantum_Hease.pdf file_size: 2146924 relation: main_file success: 1 file_date_updated: 2021-02-12T11:16:16Z has_accepted_license: '1' intvolume: ' 1' isi: 1 issue: '2' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '11' oa: 1 oa_version: Published Version project: - _id: 26336814-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '758053' name: A Fiber Optic Transceiver for Superconducting Qubits - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 9B868D20-BA93-11EA-9121-9846C619BF3A call_identifier: H2020 grant_number: '899354' name: Quantum Local Area Networks with Superconducting Qubits - _id: 26927A52-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: F07105 name: Integrating superconducting quantum circuits - _id: 2671EB66-B435-11E9-9278-68D0E5697425 name: Coherent on-chip conversion of superconducting qubit signals from microwaves to optical frequencies publication: PRX Quantum publication_identifier: issn: - 2691-3399 publication_status: published publisher: American Physical Society quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/how-to-transport-microwave-quantum-information-via-optical-fiber/ record: - id: '13071' relation: research_data status: public - id: '12900' relation: dissertation_contains status: public - id: '13175' relation: dissertation_contains status: public status: public title: Bidirectional electro-optic wavelength conversion in the quantum ground state tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 1 year: '2020' ... --- _id: '9194' abstract: - lang: eng text: Quantum transduction, the process of converting quantum signals from one form of energy to another, is an important area of quantum science and technology. The present perspective article reviews quantum transduction between microwave and optical photons, an area that has recently seen a lot of activity and progress because of its relevance for connecting superconducting quantum processors over long distances, among other applications. Our review covers the leading approaches to achieving such transduction, with an emphasis on those based on atomic ensembles, opto-electro-mechanics, and electro-optics. We briefly discuss relevant metrics from the point of view of different applications, as well as challenges for the future. acknowledgement: "During the writing of this article we became aware of another review of quantum transduction with somewhat different emphasis [99].\r\nWe would like to thank the participants of the transduction workshop at Caltech in September 2018 for helpful and stimulating discussions. We particularly thank John Bartholomew, Andrei Faraon, Johannes Fink, Jeff Holzgrafe, Linbo Shao, Marko Lončar, Daniel Oblak, and Oskar Painter.\r\nN L and N S acknowledge support from the Alliance for Quantum Technologies' (AQT) Intelligent Quantum Networks and Technologies (INQNET) research program and by DOE/HEP QuantISED program grant, QCCFP (Quantum Communication Channels for Fundamental Physics), award number DE-SC0019219. NS further acknowledges support by the Natural Sciences and Engineering Research Council of Canada (NSERC). SB acknowledges support from the Marie Skłodowska Curie fellowship number 707 438 (MSC-IF SUPEREOM). JPC acknowledges support from the Caltech PMA prize postdoctoral fellowship. MS acknowledges support from the ARL-CDQI and the National Science Foundation. CS acknowledges NSERC, Quantum Alberta, and the Alberta Major Innovation Fund." article_number: '020501' article_processing_charge: No article_type: review author: - first_name: Nikolai full_name: Lauk, Nikolai last_name: Lauk - first_name: Neil full_name: Sinclair, Neil last_name: Sinclair - first_name: Shabir full_name: Barzanjeh, Shabir id: 2D25E1F6-F248-11E8-B48F-1D18A9856A87 last_name: Barzanjeh orcid: 0000-0003-0415-1423 - first_name: Jacob P full_name: Covey, Jacob P last_name: Covey - first_name: Mark full_name: Saffman, Mark last_name: Saffman - first_name: Maria full_name: Spiropulu, Maria last_name: Spiropulu - first_name: Christoph full_name: Simon, Christoph last_name: Simon citation: ama: Lauk N, Sinclair N, Barzanjeh S, et al. Perspectives on quantum transduction. Quantum Science and Technology. 2020;5(2). doi:10.1088/2058-9565/ab788a apa: Lauk, N., Sinclair, N., Barzanjeh, S., Covey, J. P., Saffman, M., Spiropulu, M., & Simon, C. (2020). Perspectives on quantum transduction. Quantum Science and Technology. IOP Publishing. https://doi.org/10.1088/2058-9565/ab788a chicago: Lauk, Nikolai, Neil Sinclair, Shabir Barzanjeh, Jacob P Covey, Mark Saffman, Maria Spiropulu, and Christoph Simon. “Perspectives on Quantum Transduction.” Quantum Science and Technology. IOP Publishing, 2020. https://doi.org/10.1088/2058-9565/ab788a. ieee: N. Lauk et al., “Perspectives on quantum transduction,” Quantum Science and Technology, vol. 5, no. 2. IOP Publishing, 2020. ista: Lauk N, Sinclair N, Barzanjeh S, Covey JP, Saffman M, Spiropulu M, Simon C. 2020. Perspectives on quantum transduction. Quantum Science and Technology. 5(2), 020501. mla: Lauk, Nikolai, et al. “Perspectives on Quantum Transduction.” Quantum Science and Technology, vol. 5, no. 2, 020501, IOP Publishing, 2020, doi:10.1088/2058-9565/ab788a. short: N. Lauk, N. Sinclair, S. Barzanjeh, J.P. Covey, M. Saffman, M. Spiropulu, C. Simon, Quantum Science and Technology 5 (2020). date_created: 2021-02-25T08:32:29Z date_published: 2020-03-01T00:00:00Z date_updated: 2023-08-24T11:17:48Z day: '01' ddc: - '530' department: - _id: JoFi doi: 10.1088/2058-9565/ab788a ec_funded: 1 external_id: isi: - '000521449500001' file: - access_level: open_access checksum: a8562c42124a66b86836fe2489eb5f4f content_type: application/pdf creator: dernst date_created: 2021-03-02T09:47:13Z date_updated: 2021-03-02T09:47:13Z file_id: '9215' file_name: 2020_QuantumScience_Lauk.pdf file_size: 974399 relation: main_file success: 1 file_date_updated: 2021-03-02T09:47:13Z has_accepted_license: '1' intvolume: ' 5' isi: 1 issue: '2' language: - iso: eng month: '03' oa: 1 oa_version: Published Version project: - _id: 258047B6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '707438' name: 'Microwave-to-Optical Quantum Link: Quantum Teleportation and Quantum Illumination with cavity Optomechanics SUPEREOM' publication: Quantum Science and Technology publication_identifier: issn: - 2058-9565 publication_status: published publisher: IOP Publishing quality_controlled: '1' scopus_import: '1' status: public title: Perspectives on quantum transduction tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 5 year: '2020' ... --- _id: '9039' abstract: - lang: eng text: We give a short and self-contained proof for rates of convergence of the Allen--Cahn equation towards mean curvature flow, assuming that a classical (smooth) solution to the latter exists and starting from well-prepared initial data. Our approach is based on a relative entropy technique. In particular, it does not require a stability analysis for the linearized Allen--Cahn operator. As our analysis also does not rely on the comparison principle, we expect it to be applicable to more complex equations and systems. acknowledgement: "This work was supported by the European Union's Horizon 2020 Research and Innovation\r\nProgramme under Marie Sklodowska-Curie grant agreement 665385 and by the Deutsche\r\nForschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy, EXC-2047/1--390685813." article_processing_charge: No article_type: original author: - first_name: Julian L full_name: Fischer, Julian L id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X - first_name: Tim full_name: Laux, Tim last_name: Laux - first_name: Theresa M. full_name: Simon, Theresa M. last_name: Simon citation: ama: 'Fischer JL, Laux T, Simon TM. Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis. 2020;52(6):6222-6233. doi:10.1137/20M1322182' apa: 'Fischer, J. L., Laux, T., & Simon, T. M. (2020). Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/20M1322182' chicago: 'Fischer, Julian L, Tim Laux, and Theresa M. Simon. “Convergence Rates of the Allen-Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020. https://doi.org/10.1137/20M1322182.' ieee: 'J. L. Fischer, T. Laux, and T. M. Simon, “Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies,” SIAM Journal on Mathematical Analysis, vol. 52, no. 6. Society for Industrial and Applied Mathematics, pp. 6222–6233, 2020.' ista: 'Fischer JL, Laux T, Simon TM. 2020. Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis. 52(6), 6222–6233.' mla: 'Fischer, Julian L., et al. “Convergence Rates of the Allen-Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies.” SIAM Journal on Mathematical Analysis, vol. 52, no. 6, Society for Industrial and Applied Mathematics, 2020, pp. 6222–33, doi:10.1137/20M1322182.' short: J.L. Fischer, T. Laux, T.M. Simon, SIAM Journal on Mathematical Analysis 52 (2020) 6222–6233. date_created: 2021-01-24T23:01:09Z date_published: 2020-12-15T00:00:00Z date_updated: 2023-08-24T11:15:16Z day: '15' ddc: - '510' department: - _id: JuFi doi: 10.1137/20M1322182 ec_funded: 1 external_id: isi: - '000600695200027' file: - access_level: open_access checksum: 21aa1cf4c30a86a00cae15a984819b5d content_type: application/pdf creator: dernst date_created: 2021-01-25T07:48:39Z date_updated: 2021-01-25T07:48:39Z file_id: '9041' file_name: 2020_SIAM_Fischer.pdf file_size: 310655 relation: main_file success: 1 file_date_updated: 2021-01-25T07:48:39Z has_accepted_license: '1' intvolume: ' 52' isi: 1 issue: '6' language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: 6222-6233 project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: SIAM Journal on Mathematical Analysis publication_identifier: eissn: - '10957154' issn: - '00361410' publication_status: published publisher: Society for Industrial and Applied Mathematics quality_controlled: '1' scopus_import: '1' status: public title: 'Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 52 year: '2020' ...