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Quantization: History and problems.

Stud Hist Philos Sci

December 2022

Department of Physics, The George Washington University, 725 21st St. NW, 20052, Washington, D.C., United States. Electronic address:

In this work, I explore the concept of quantization as a mapping from classical phase space functions to quantum operators. I discuss the early history of this notion of quantization with emphasis on the works of Schrödinger and Dirac, and how quantization fit into their overall understanding of quantum theory in the 1920's. Dirac, in particular, proposed a quantization map which should satisfy certain properties, including the property that quantum commutators should be related to classical Poisson brackets in a particular way.

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We present a custom implementation of a 2D Convolutional Neural Network (CNN) as a viable application for real-time data selection in high-resolution and high-rate particle imaging detectors, making use of hardware acceleration in high-end Field Programmable Gate Arrays (FPGAs). To meet FPGA resource constraints, a two-layer CNN is optimized for accuracy and latency with KerasTuner, and network is further used to minimize the computing resource utilization of the network. We use "High Level Synthesis for Machine Learning" () tools to test CNN deployment on a Xilinx UltraScale+ FPGA, which is an FPGA technology proposed for use in the front-end readout system of the future Deep Underground Neutrino Experiment (DUNE) particle detector.

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We refute the criticism expressed in a Comment by Krstulovic, L'vov, and Nazarenko [Phys. Rev. E 105, 027101 (2022)10.

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Article Synopsis
  • Tanogami's paper suggests a new model of quantum turbulence, claiming that energy distribution at smaller scales is influenced by a quantum stress cascade rather than the expected Kelvin-wave cascade.
  • The Comment aims to address some physical concerns regarding Tanogami's derivation of the quantum stress cascade.
  • A key point raised is the neglect of the importance of circulation quantization in Tanogami's analysis.
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