Quantum Mechanics
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Resource-Efficient High-Dimensional Entanglement Detection via Symmetric Projections
Morelli, S.
; Huber, M.; Tavakoli, A. (2023-10-25)
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
Gonzalez-Raya, T.; Sanz, M. (2022-01-01)
Open-air 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 ... -
Quantum-enhanced Doppler lidar
Reichert, M.; Di Candia, R.; Win, M.Z.; Sanz, M. (2022-12-01)
We propose a quantum-enhanced lidar system to estimate a target’s radial velocity, which employs squeezed and frequency-entangled signal and idler beams. We compare its performance against a classical protocol using a ... -
Bi-Frequency Illumination: A Quantum-Enhanced Protocol
Casariego, M.; Omar, Y.; Sanz, M. (2022-11-01)
Quantum-enhanced, idler-free 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 frequency-dependent reflectivity ... -
Approximating the quantum approximate optimization algorithm with digital-analog interactions
Headley, D.; Müller, T.; Martin, A.; Solano, E.; Sanz, M.; Wilhelm, F.K. (2022-10-01)
The quantum approximate optimization algorithm was proposed as a heuristic method for solving combinatorial optimization problems on near-term quantum computers and may be among the first algorithms to perform useful ... -
Hybrid quantum-classical heuristic for the bin packing problem
De Andoin, M.G.; Sanz, M.; Osaba, E.; Oregi, I.; Villar-Rodriguez, E. (2022-07-09)
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 ... -
Open-Air Microwave Entanglement Distribution for Quantum Teleportation
Gonzalez-Raya, T.; Casariego, M.; Fesquet, F.; Renger, M.; Salari, V.; Möttönen, M.; Omar, Y.; Deppe, F.; Fedorov, K. G.; Sanz, M. (2022-10-01)
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 b-symplectic slice theorem
(2022-01-01)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 self-consistency equations in quantum mechanics
Bru, J.-B.; de Siqueira Pedra, W. (2022-05-09)
During the last three decades, P. Bóna has developed a non-linear 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
(2022-12-23)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 Shale-Stinespring Condition
(2022-04-28)We provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the Shale-Stinespring condition, so they are not implementable on ... -
Extended State Space for Describing Renormalized Fock Spaces in QFT
(2022-06-04)In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not square-integrable and have prefactors involving divergent integrals (known as ... -
Entanglement of classical and quantum short-range dynamics in mean-field systems
Bru, J. B.; de Siqueira Pedra, W. (2021-11-01)
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 Bose-Hubbard model on a finite graph
(2021-08-01)The Kubo-Martin-Schwinger (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
(2021-10-14)In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces relative to a fixed Lorentz frame, as well ... -
Macroscopic Dynamics of the Strong-Coupling BCS-Hubbard Model
Bru, J.-B.; de Siqueira Pedra, W. (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 quantum-spin systems with long-range, or mean-field, interactions, ... -
Quantum Fluctuations and Large Deviation Principle for Microscopic Currents of Free Fermions in Disordered Media
Bru, J.-B.; de Siqueira Pedra, W.; Ratsimanetrimanana, A. (2020)
We contribute an extension of large-deviation 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
Bru, J.-B.; de Siqueira Pedra, W. (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 well-studied and well-known ... -
Large Deviations in Weakly Interacting Fermions - Generating Functions as Gaussian Berezin Integrals and Bounds on Large Pfaffians
Aza, N. J. B.; Bru, J.-B.; de Siqueira Pedra, W.; Müssnich, L. C. P. A. M. (2021)
We prove that the G\"{a}rtner--Ellis 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 long-range interactions for lattice fermions and quantum spins
Bru, J.-B.; de Siqueira Pedra, W. (2021)
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ...
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