Antonio Michele Miti

activity

20182026

most citedMeasurement-based uncomputation of quantum circuits for modular arithmetic

3 citations · 4 across the 8 of their papers we have counts for

collaborators

9 papers

math.SG2026

$L_{\infty}$ -morphisms between twisted Courant $r$ -Lie algebras and untwisted Courant $(r + 1)$ -Lie algebroids

Domenico Fiorenza, Antonio Michele Miti

In "Lie infinity algebras and higher analogues of Dirac structures and Courant algebroids" [arXiv:1003.1004], Marco Zambon constructs an $L_{\infty}$ -algebra associated with any high…

math.SG2025

Multisymplectic observable reduction using constraint triples

Antonio Michele Miti, Leonid Ryvkin

The purpose of this paper is to present a fully algebraic formalism for the construction and reduction of $L_{\infty}$ -algebras of observables inspired by multisymplectic geometry, u…

quant-ph2024★ 3 cited

Measurement-based uncomputation of quantum circuits for modular arithmetic

Alessandro Luongo, Antonio Michele Miti, Varun Narasimhachar +1

Measurement-based uncomputation (MBU) is a technique used to perform probabilistic uncomputation of quantum circuits. We formalize this technique for the case of single-qubit regis…

math.SG2022

Observables on multisymplectic manifolds and higher Courant algebroids

Antonio Michele Miti, Marco Zambon

Let $ω$ be a closed, non-degenerate differential form of arbitrary degree. Associated to it there are an $L_{\infty}$ -algebra of observables, and an $L_{\infty}$ -algebra of section…

math.DG2022

Reduction of $L_{\infty}$ -Algebras of Observables on Multisymplectic Manifolds

Casey Blacker, Antonio Michele Miti, Leonid Ryvkin

We develop a reduction scheme for the $L_{\infty}$ -algebra of observables on a premultisymplectic manifold $(M, ω)$ in the presence of a compatible Lie algebra action $\mathfrak{g}\cu…

math.SG2021

Homotopy Comomentum Maps in Multisymplectic Geometry

Antonio Michele Miti

Homotopy comomentum maps are a higher generalization of the notion of moment map introduced to extend the concept of Hamiltonian actions to the framework of multisymplectic geometr…

math.SG2019

Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

Antonio Michele Miti, Mauro Spera

In this Letter we propose a semiclassical interpretation of the HOMFLYPT polynomial building on the Liu-Ricca hydrodynamical approach to the latter and on the Besana-S. symplectic…

math.SG2019

Multisymplectic actions of compact Lie groups on spheres

Antonio Michele Miti, Leonid Ryvkin

We investigate the existence of homotopy comoment maps (comoments) for high-dimensional spheres seen as multisymplectic manifolds. Especially, we solve the existence problem for co…

math.DG2018★ 1 cited

A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher order linking numbers