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可積分性という概念は古典力学では明確に定義されているが,量子力学における対応概念は不明瞭である.また,古典力学との対応を求めず,量子力学のハイゼンベルグ方程式を解くという目的に限定しても,作用角変数に匹敵するような強力かつ柔軟な方法論の構築が望ましい.本講演ではこれらの問題点を指摘し,解決の糸口を代数の表現論による多様体上の量子力学の定式化に探ってみた. この論文は国立情報学研究所の電子図書館事業により電子化されました。
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A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits. [PDF]
Ragone M+6 more
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Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Di Francesco P+4 more
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On the hypercomplex numbers and normed division algebras in all dimensions: A unified multiplication. [PDF]
Singh P, Gupta A, Joshi SD.
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Stochastic reservoir computers. [PDF]
Ehlers PJ, Nurdin HI, Soh D.
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Conformal Field Theory, Solitons, and Elliptic Calogero-Sutherland Models. [PDF]
Berntson BK, Langmann E, Lenells J.
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Gluon scattering on the self-dual dyon. [PDF]
Adamo T, Bogna G, Mason L, Sharma A.
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We investigate the structure of the relative bicentralizer algebra B(N ⊂ M, φ) for inclusions of von Neumann algebras with normal expectation where N is a type Ill₁ subfactor and φ ∈ N* is a faithful state. We first construct a canonical flow β[φ] : R*₊ ↷ B(N C M, ip) on the relative bicentralizer algebra and we show that the W*-dynamical system (B(N ⊂
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Massively Parallel Tensor Network State Algorithms on Hybrid CPU-GPU Based Architectures. [PDF]
Menczer A, Legeza Ö.
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Majorana quasiparticles and topological phases in 3D active nematics. [PDF]
Head LC+10 more
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