Quantum Mechanics
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ResourceEfficient HighDimensional Entanglement Detection via Symmetric Projections
(20231025)We introduce two families of criteria for detecting and quantifying the entanglement of a bipartite quantum state of arbitrary local dimension. The first is based on measurements in mutually unbiased bases and the second ... 
Coplanar Antenna Design for Microwave Entangled Signals Propagating in Open Air
(20220101)Openair microwave quantum communication and metrology protocols must be able to transfer quantum resources from a cryostat, where they are created, to an environment dominated by thermal noise. Indeed, the states carrying ... 
Quantumenhanced Doppler lidar
(20221201)We propose a quantumenhanced lidar system to estimate a target’s radial velocity, which employs squeezed and frequencyentangled signal and idler beams. We compare its performance against a classical protocol using a ... 
BiFrequency Illumination: A QuantumEnhanced Protocol
(20221101)Quantumenhanced, idlerfree sensing protocol to measure the response of a target object to the frequency of a probe in a noisy and lossy scenario is proposed. In this protocol, a target with frequencydependent reflectivity ... 
Approximating the quantum approximate optimization algorithm with digitalanalog interactions
(20221001)The quantum approximate optimization algorithm was proposed as a heuristic method for solving combinatorial optimization problems on nearterm quantum computers and may be among the first algorithms to perform useful ... 
Hybrid quantumclassical heuristic for the bin packing problem
(20220709)Optimization problems is one of the most challenging applications of quantum computers, as well as one of the most relevants. As a consequence, it has attracted huge efforts to obtain a speedup over classical algorithms ... 
OpenAir Microwave Entanglement Distribution for Quantum Teleportation
(20221001)Microwave technology plays a central role in current wireless communications, including mobile communication and local area networks. The microwave range shows relevant advantages with respect to other frequencies in ... 
A bsymplectic slice theorem
(20220101)In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we ... 
Classical dynamics from selfconsistency equations in quantum mechanics
(20220509)During the last three decades, P. Bóna has developed a nonlinear generalization of quantum mechanics, based on symplectic structures for normal states and offering a general setting which is convenient to study the emergence ... 
Time Dynamics in Quantum Field Theory Systems
(20221223)In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allow for a rigorous description of non–perturbative quantum field theory (QFT) dynamics. Here, the term QFT is to be understood ... 
Implementing Bogoliubov Transformations Beyond the ShaleStinespring Condition
(20220428)We provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the ShaleStinespring condition, so they are not implementable on ... 
Extended State Space for Describing Renormalized Fock Spaces in QFT
(20220604)In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not squareintegrable and have prefactors involving divergent integrals (known as ... 
Entanglement of classical and quantum shortrange dynamics in meanfield systems
(20211101)The relationship between classical and quantum mechanics is usually understood via the limit ħ→0. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity ... 
High temperature convergence of the KMS boundary conditions: The BoseHubbard model on a finite graph
(20210801)The KuboMartinSchwinger (KMS) condition is a widely studied fundamental property in quantum statistical mechanics which characterizes the thermal equilibrium states of quantum systems. In the seventies, Gallavotti and ... 
Another Proof of Born's Rule on Arbitrary Cauchy Surfaces
(20211014)In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski spacetime assuming Born's rule and a corresponding collapse rule on horizontal surfaces relative to a fixed Lorentz frame, as well ... 
Macroscopic Dynamics of the StrongCoupling BCSHubbard Model
(2020)The aim of the current paper is to illustrate, in a simple example, our recent, very general, rigorous results on the dynamical properties of fermions and quantumspin systems with longrange, or meanfield, interactions, ... 
Quantum Fluctuations and Large Deviation Principle for Microscopic Currents of Free Fermions in Disordered Media
(2020)We contribute an extension of largedeviation results obtained in [N.J.B. Aza, J.B. Bru, W. de Siqueira Pedra, A. Ratsimanetrimanana, J. Math. Pures Appl. 125 (2019) 209] on conductivity theory at atomic scale of free ... 
Weak* Hypertopologies with Application to Genericity of Convex Sets
(2022)We propose a new class of hypertopologies, called here weak$^{\ast }$ hypertopologies, on the dual space $\mathcal{X}^{\ast }$ of a real or complex topological vector space $\mathcal{X}$. The most wellstudied and wellknown ... 
Large Deviations in Weakly Interacting Fermions  Generating Functions as Gaussian Berezin Integrals and Bounds on Large Pfaffians
(2021)We prove that the G\"{a}rtnerEllis generating function of probability distributions associated with KMS states of weakly interacting fermions on the lattice can be written as the limit of logarithms of Gaussian Berezin ... 
Classical dynamics generated by longrange interactions for lattice fermions and quantum spins
(2021)We study the macroscopic dynamical properties of fermion and quantumspin systems with longrange, or meanfield, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ...