Results 61 to 70 of about 77,220 (199)
Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians
Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
wiley +1 more source
Dynamics of the Commutator Operator [PDF]
Linear dynamics is a rapidly evolving area of operator theory, however the only results related to the dynamics of the commutator operators have hitherto been on the characterisation of the hypercyclicity of the left and right multiplication operators.
Gilmore, Clifford
core
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
On the ternary commutator, I: Exact Mal'tsev categories,
In this first article on the Bulatov commutator, we introduce a ternary commutator of equivalence relations in the context of an exact Mal'tsev category with binary coproducts. We prove that, for Mal'tsev varieties, our notion is a particular case (where
Simeu, Cyrille Sandry +1 more
core
Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley +1 more source
Generating \(q\)-commutator identities and the \(q\)-BCH formula
Summary: Motivated by the physical applications of \(q\)-calculus and of \(q\)-deformations, the aim of this paper is twofold. Firstly, we prove the \(q\)-deformed analogue of the celebrated theorem by Baker, Campbell, and Hausdorff for the product of two exponentials.
BONFIGLIOLI, ANDREA, KATRIEL, JACOB
openaire +3 more sources
On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
ABSTRACT We study prethermalization in time‐independent quantum many‐body systems on a d$d$‐dimensional lattice with an extensive local Hamiltonian H=N+εP$H=N+\varepsilon P$, in the regime where ε≪1$\varepsilon \ll 1$. We prove that the prethermal timescale is exponential in ε0/ε$\varepsilon _0/\varepsilon$, where ε0$\varepsilon _0$ is an explicit ...
Matteo Gallone
wiley +1 more source
Non-commutative functions and the non-commutative free Lévy–Hinčin formula
Abstract The paper is discussing infinite divisibility in the setting of operator-valued boolean, free and, more general, c-free independences. Particularly, using Hilbert bimodule and non-commutative function techniques, we obtain analogues of the Levy–Hincin integral representation for infinitely divisible real measures.
Popa, Mihai, Vinnikov, Victor
openaire +1 more source
Convergence and combinatorics of the Reverse algorithm
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito +2 more
wiley +1 more source
On commutator socle-regular Abelian p-groups [PDF]
We define the notion of a commutator socle-regular Abelian p-group. After establishing some crucial properties of commutator socle-regularity, we investigate its relationship with socle-regularity, strong socle-regularity and projection socle ...
Danchev, Peter, Goldsmith, Brendan
core +1 more source

