A New Kind of Shift Operators for Infinite Circular and Spherical Wells by Guo-Hua Sun, K. D. Launey, T. Dytrych, Shi-Hai Dong, J. P. Draayer

“…These shift operators depend on all spatial variables of quantum systems and connect some eigenstates of confined systems of different radii R sharing energy levels with a common eigenvalue. …”
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Thermalization in Krylov basis by Mohsen Alishahiha, Mohammad Javad Vasli

“…Abstract We study thermalization in closed non-integrable quantum systems using the Krylov basis. We demonstrate that for thermalization to occur, the matrix representation of typical local operators in the Krylov basis should exhibit a specific tridiagonal form with all other elements in the matrix being exponentially small, reminiscent of the eigenstate thermalization hypothesis. …”
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Probing the Page transition via approximate quantum error correction by Haocheng Zhong

“…Furthermore, the Page transition, as a special property of the Page curve, should be understood as the property of approximate quantum error correction itself, i.e. a general class of quantum systems under certain conditions from approximate quantum error correction can also exhibit phenomenon similar to the Page transition.…”
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Pulse engineering via projection of response functions by Nicolas Heimann, Lukas Broers, Ludwig Mathey

“…We present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. …”
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Monogamy relations for relativistically causal correlations by Mirjam Weilenmann

“…Abstract Non-signalling conditions encode minimal requirements that any (quantum) systems must satisfy in order to be consistent with special relativity. …”
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SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state by Bijit Mukherjee, Jeremy M. Hutson

“…We investigate the prospect of using ultracold alkali diatomic molecules to implement many-body quantum systems with SU(N) symmetry. Experimentally accessible molecules offer large N for both bosonic and fermionic systems, with both attractive and repulsive interactions. …”
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Non-Markovian quantum exceptional points by Jhen-Dong Lin, Po-Chen Kuo, Neill Lambert, Adam Miranowicz, Franco Nori, Yueh-Nan Chen

“…Abstract Exceptional points (EPs) are singularities in the spectra of non-Hermitian operators where eigenvalues and eigenvectors coalesce. Open quantum systems have recently been explored as EP testbeds due to their non-Hermitian nature. …”
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High-impedance microwave resonators with two-photon nonlinear effects by S. Andersson, H. Havir, A. Ranni, S. Haldar, V. F. Maisi

“…Our experiment yields thus resonators with strong interactions both between individual resonator photons and from the resonator photons to other electric quantum systems. We also present an energy diagram technique which enables to measure, identify and analyse different multi-photon optics processes along their energy conservation lines.…”
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Algebraic classification of Hietarinta’s solutions of Yang-Baxter equations: invertible 4 × 4 operators by Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan, Vladimir Korepin

“…Abstract In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. …”
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Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment by Jian-Jian Cheng, Lin Zhang

“…We propose a novel framework to describe geometric phases in quantum systems under non-adiabatic conditions by introducing the concept of a hidden geometric phase. …”
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Few-photon SUPER: Quantum emitter inversion via two off-resonant photon modes by Quentin W. Richter, Jan M. Kaspari, Thomas K. Bracht, Leonid Yatsenko, Vollrath Martin Axt, Arno Rauschenbeutel, Doris E. Reiter

“…With the realization of controlled quantum systems, exploring excitations beyond the resonant case opens new possibilities. …”
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Expectation values and Fisher information theoretic measures of heavy flavoured mesons by Ekwevugbe Omugbe, ETIDO INYANG, Arezu Jahanshir, Clement A. Onate, Cecilia N. Isonguyo, Edwin S. Eyube, Uduakobong S. Okorie, Ridha Horchani, Akpan N. Ikot

“…Also, the results obey the Fisher uncertainty product, Cramer-Rao and the Heisenberg uncertainty inequalities for 3D quantum systems. …”
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Noise-agnostic quantum error mitigation with data augmented neural models by Manwen Liao, Yan Zhu, Giulio Chiribella, Yuxiang Yang

“…Our approach applies to quantum circuits and to the dynamics of many-body and continuous-variable quantum systems, accommodating various types of noise models. …”
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Observation of minimal and maximal speed limits for few and many-body states by Zitian Zhu, Lei Gao, Zehang Bao, Liang Xiang, Zixuan Song, Shibo Xu, Ke Wang, Jiachen Chen, Feitong Jin, Xuhao Zhu, Yu Gao, Yaozu Wu, Chuanyu Zhang, Ning Wang, Yiren Zou, Ziqi Tan, Aosai Zhang, Zhengyi Cui, Fanhao Shen, Jiarun Zhong, Tingting Li, Jinfeng Deng, Xu Zhang, Hang Dong, Pengfei Zhang, Zhen Wang, Chao Song, Chen Cheng, Qiujiang Guo, Hekang Li, H. Wang, Hai-Qing Lin, Rubem Mondaini

“…Abstract Tracking the time evolution of a quantum state allows one to verify the thermalization rate or the propagation speed of correlations in generic quantum systems. Inspired by the energy-time uncertainty principle, bounds have been demonstrated on the maximal speed at which a quantum state can change, resulting in immediate and practical tasks. …”
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Electro-gravity entanglement by Moreno Jose C.

“…The model's significance rests in hypothesizing entanglements in a classical mechanical property without violating the measurement independence postulate and in its possible applications for gravity simulations with quantum systems.…”
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Superconducting quantum computing optimization based on multi-objective deep reinforcement learning by Yangting Liu

“…Abstract Deep reinforcement learning is considered an effective technology in quantum optimization and can provide strategies for optimal control of complex quantum systems. More precise measurements require simulation control at multiple experimental stages. …”
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Neural quantum propagators for driven-dissipative quantum dynamics by Jiaji Zhang, Carlos L. Benavides-Riveros, Lipeng Chen

“…Describing the dynamics of strong-laser driven open quantum systems is a very challenging task that requires the solution of highly involved equations of motion. …”
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A Review of Procedures for Summing Kapteyn Series in Mathematical Physics by R. C. Tautz, I. Lerche

“…The purpose of this review article is to present some of the recent methods for providing such series in closed form with applications to: (i) the summation of Kapteyn series for radiation from pulsars; (ii) the summation of other Kapteyn series in radiation problems; (iii) Kapteyn series arising in terahertz sideband spectra of quantum systems modulated by an alternating electromagnetic field; and (iv) some plasma problems involving sums of Bessel functions and their closed form summation using variations of the techniques developed for Kapteyn series. …”
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SU(N) magnetism with ultracold molecules by Bijit Mukherjee, Jeremy M Hutson, Kaden R A Hazzard

“…Quantum systems with SU( N ) symmetry are paradigmatic settings for quantum many-body physics. …”
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RSFQ All-Digital Programmable Multitone Generator for Quantum Applications by Joao Barbosa, Jack C. Brennan, Alessandro Casaburi, M. D. Hutchings, Alex Kirichenko, Oleg Mukhanov, Martin Weides

“…By condensing the control and readout to single-flux-quantum-based on-chip devices that are directly connected to the quantum systems, it is possible to minimize the total system overhead, improving scalability and integration. …”
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