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Numerical study of the relativistic three-body quantization condition in the isotropic approximation
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Quantized Conductance in Topological Insulators Revealed by the Shockley-Ramo Theorem
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Solving hadron structures using the basis light-front quantization approach on quantum computers
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Observation of Quantized Exciton Energies in Monolayer WSe 2 under a Strong Magnetic Field
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Fault-Tolerant Quantum Simulations of Chemistry in First Quantization
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Communication Quantization for Data-parallel Training of Deep Neural Networks
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Isolation of exchange- and spin-orbit-driven effects via manipulation of the axis of quantization
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Multiphoton dynamics of qutrits in the ultrastrong coupling regime with a quantized photonic field
Multiphoton resonant excitation of a three-state quantum system (a qutrit) with a single-mode photonic field is considered in the ultrastrong coupling regime, when the qutrit–photonic field coupling rate is comparable to appreciable fractions of the photon frequency. For ultrastrong couplings, the obtained solutions of the Schrödinger equation that reveal multiphoton Rabi oscillations in qutrits with the interference effects leading to the collapse and revival of atomic excitation probabilities at the direct multiphoton resonant transitions.
Light meson parton distribution functions from basis light-front quantization and QCD evolution
Here, we investigate the parton distribution functions (PDFs) of the pion and kaon from the eigenstates of a light-front effective Hamiltonian in the constituent quark-antiquark representation suitable for low-momentum scale applications. By taking these scales as the only free parameters, the valence quark distribution functions of the pion, after QCD evolving, are consistent with the E615 experiment at Fermilab. In addition, the ratio of the up quark distribution in the kaon to that in the pion also agrees with the NA3 experimental result at CERN.
Index theorem for non-supersymmetric fermions coupled to a non-Abelian string and electric charge quantization
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Exploring Quantized Axion Electrodynamics in Magnetic Topological Insulator Multilayer Heterostructures (Final Technical Report)
The current program is focusing on investigating the properties of the high Chern number quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) multilayer heterostructures and the exploration of the topological magnetoelectric effect in thick magnetic TI films/heterostructures. Our program includes both experimental and theoretical efforts on this topic.
Digital quantum simulation of controlled molecular dynamics in first quantization
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Coherent estimation for controlled molecular dynamics in first quantization
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Second quantization model of the Vlasov-Poisson system for quantum computation
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Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures
Increased data acquisition by uncalibrated, heterogeneous digital sensor systems such as smartphones present new challenges. Binary metrics are proposed for the quantification of cyber-physical signal characteristics and features, and a standardized constant-Q variation of the Gabor atom is developed for use with wavelet transforms. Two different continuous wavelet transform (CWT) reconstruction formulas are presented and tested under different signal to noise ratio (SNR) conditions. A sparse superposition of Nth order Gabor atoms worked well against a synthetic blast transient using the wavelet entropy and an entropy-like parametrization of the SNR as the CWT coefficient-weighting functions. The proposed methods should be well suited for sparse feature extraction and dictionary-based machine learning across multiple sensor modalities.
Quantized Information in Spectral Cyberspace
The constant-Q Gabor atom is developed for spectral power, information, and uncertainty quantification from time–frequency representations. Stable multiresolution spectral entropy algorithms are constructed with continuous wavelet and Stockwell transforms. The recommended processing and scaling method will depend on the signature of interest, the desired information, and the acceptable levels of uncertainty of signal and noise features. Selected Lamb wave signatures and information spectra from the 2022 Tonga eruption are presented as representative case studies. Resilient transformations from physical to information metrics are provided for sensor-agnostic signal processing, pattern recognition, and machine learning applications.