75 citations · 196 across the 45 of their papers we have counts for
47 papers
Physical models realizing the transformer architecture of large language models
Zeqian Chen
The introduction of the transformer architecture in 2017 marked the most striking advancement in natural language processing. The transformer is a model architecture relying entire…
Non-Abelian observable-geometric phases and the Riemann zeros
Zeqian Chen
The Hilbert-Pólya conjecture asserts that the imaginary parts of the nontrivial zeros of the Riemann zeta function (the Riemann zeros) are the eigenvalues of a self-adjoint operato…
Banach space formalism of quantum mechanics
Zeqian Chen
This paper presents a generalization of quantum mechanics from conventional Hilbert space formalism to Banach space one. We construct quantum theory starting with any complex Banac…
A mathematical formalism of non-Hermitian quantum mechanics and observable-geometric phases
Zeqian Chen
We present a mathematical formalism of non-Hermitian quantum mechanics, following the Dirac-von Neumann formalism of quantum mechanics. In this formalism, the state postulate is th…
Atomic decompositions for noncommutative martingales
Zeqian Chen, Narcisse Randrianantoanina, Quanhua Xu
We prove an atomic type decomposition for the noncommutative martingale Hardy space $\h_p$ for all by an explicit constructive method using algebraic atoms as building bloc…
Observable-geometric phases and quantum computation
Zeqian Chen
This paper presents an alternative approach to geometric phases from the observable point of view. Precisely, we introduce the notion of observable-geometric phases, which is defin…