Blog
Normal state quantum geometry, non-locality and superconductivity
We investigate aspects of the relation between the quantum geometry of the normal state (NS) and the superconducting phase, through the lens of non-locality. By relating band theory to quantum estimation theory, we derive a direct momentum-dependent relation between quantum geometry and...
Analytic Fourier ptychotomography for volumetric refractive index imaging
Three-dimensional (3D) refractive index (RI) tomography offers label-free, quantitative volumetric imaging but faces limitations due to optical aberrations, limited resolution, and the computational complexity inherent to existing approaches. To overcome these barriers, we propose Analytic Fourier Ptychotomography (AFP), a new computational microscopy...
LTDE: The Lens Time Delay Experiment I. From pixels to light curves
Gravitationally lensed quasars offer a unique opportunity to study cosmological and extragalactic phenomena, using reliable light curves of the lensed images. This requires accurate deblending of the quasar images, which is not trivial due to the small separation between the lensed images...
Adaptive and Efficient Dynamic Memory Management for Hardware Enclaves
The second version of Intel Software Guard Extensions (Intel SGX), or SGX2, adds dynamic management of enclave memory and threads. The first version required the address space and thread counts to be fixed before execution. The Enclave Dynamic Memory Management (EDMM) feature...
Hydrodynamic fields in fluctuating environment: the emergent phononic and tachyonic-like excitations
Using functional methods, we investigate in a low-temperature liquid, the sound quanta defined by the quantized hydrodynamic fields, under the effects of high-energy processes on the atomic/molecular scale. To obtain in the molecular level the excitation spectra of liquids, we assume that...
Kronecker states: a powerful source of multipartite maximally entangled states in quantum information
In quantum information theory, maximally entangled states, specifically locally maximally entangled (LME) states, are essential for quantum protocols. While many focus on bipartite entanglement, applications such as quantum error correction and multiparty secret sharing rely on multipartite entanglement. These LME states naturally...
Bidirectional Mamba for Single-Cell Data: Efficient Context Learning with Biological Fidelity
Single-cell RNA sequencing (scRNA-seq) enables high-resolution analysis of cellular heterogeneity, but its complexity, which is marked by high dimensionality, sparsity, and batch effects, which poses major computational challenges. Transformer-based models have made significant advances in this domain but are often limited by...
Fundamental Limits Of Quickest Change-point Detection With Continuous-Variable Quantum States
We generalize the quantum CUSUM (QUSUM) algorithm for quickest change-point detection, analyzed in finite dimensions by Fanizza, Hirche, and Calsamiglia (Phys. Rev. Lett. 131, 020602, 2023), to infinite-dimensional quantum systems. Our analysis relies on a novel generalization of a result by Hayashi...
On Euler’s magic matrices of sizes $3$ and $8$
A proper Euler’s magic matrix is an integer $n\times n$ matrix $M\in\mathbb Z^{n\times n}$ such that $M\cdot M^t=\gamma\cdot I$ for some nonzero constant $\gamma$, the sum of the squares of the entries along each of the two main diagonals equals $\gamma$, and...
Learning Energy-Based Generative Models via Potential Flow: A Variational Principle Approach to Probability Density Homotopy Matching
Energy-based models (EBMs) are a powerful class of probabilistic generative models due to their flexibility and interpretability. However, relationships between potential flows and explicit EBMs remain underexplored, while contrastive divergence training via implicit Markov chain Monte Carlo (MCMC) sampling is often unstable...