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Quantum de Sitter Geometry

Universe, 2023
Quantum de Sitter geometry is discussed using elementary field operator algebras in Krein space quantization from an observer-independent point of view, i.e., ambient space formalism.
Mohammad Vahid Takook
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Capacity and Quantum Geometry of Parametrized Quantum Circuits [PDF]

PRX Quantum, 2021
To harness the potential of noisy intermediate-scale quantum devices, it is paramount to find the best type of circuits to run hybrid quantum-classical algorithms.
Tobias Haug, Kishor Bharti, M.S. Kim
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Quantum geometry in quantum materials

npj Quantum Materials
Quantum geometry, characterized by the quantum geometric tensor, plays a central role in diverse physical phenomena in quantum materials. This pedagogical review introduces the concept and highlights its implications across multiple domains, including ...
Jiabin Yu, B. Andrei Bernevig, Raquel Queiroz, Enrico Rossi, Päivi Törmä, Bohm-Jung Yang   +5 more
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Relational quantum geometry

Nuclear Physics B
A common feature of the extended phase space of gauge theory, the crossed product of quantum theory, and quantum reference frames (QRFs) is the adjoining of degrees of freedom followed by a constraining procedure for the resulting total system.
Shadi Ali Ahmad, Wissam Chemissany, Marc S. Klinger, Robert G. Leigh   +3 more
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Magnetic geometry induced quantum geometry and nonlinear transports [PDF]

Nature Communications
The combination of quantum geometry and magnetic geometry in magnets excites diverse phenomena, some critical for antiferromagnetic spintronics. However, very few material platforms have been predicted and experimentally verified to date, with the ...
Haiyuan Zhu, Jiayu Li, Xiaobing Chen, Yutong Yu, Qihang Liu   +4 more
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Holography, Quantum Geometry, and Quantum Information Theory [PDF]

Entropy, 2000
: We interpret the Holographic Conjecture in terms of quantum bits (qubits). N-qubit states are associated with surfaces that are punctured in N points by spin networks' edges labelled by the spin-½ representation of SU(2), which are in a superposed ...
P. A. Zizzi
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Deep Quantum Geometry of Matrices

Physical Review X, 2020
We employ machine learning techniques to provide accurate variational wave functions for matrix quantum mechanics, with multiple bosonic and fermionic matrices.
Xizhi Han (韩希之), Sean A. Hartnoll
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Quantum geometry quadrupole-induced third-order nonlinear transport in antiferromagnetic topological insulator MnBi2Te4 [PDF]

Nature Communications
The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometric tensor of the Bloch states.
Hui Li, Chengping Zhang, Chengjie Zhou, Chen Ma, Xiao Lei, Zijing Jin, Hongtao He, Baikui Li, Kam Tuen Law, Jiannong Wang   +9 more
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Hofstadter’s butterfly in quantum geometry

New Journal of Physics, 2016
We point out that the recent conjectural solution to the spectral problem for the Hamiltonian $H={{\rm{e}}}^{x}+{{\rm{e}}}^{-x}+{{\rm{e}}}^{p}+{{\rm{e}}}^{-p}$ in terms of the refined topological invariants of a local Calabi–Yau (CY) geometry has an ...
Yasuyuki Hatsuda, Hosho Katsura, Yuji Tachikawa   +2 more
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Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains

Communications Physics, 2022
Floquet physics occurs when a system is driven periodically in time and can be used to uncover phases absent in thermal equilibrium. Here, the authors theoretically investigate heating in a Floquet spin chain, demonstrating the existence and stability of
Daniel J. Yates, Alexander G. Abanov, Aditi Mitra   +2 more
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