Almost Qudits in the Prepare-and-Measure Scenario
Delve into quantum communication challenges when encoding information in carriers that nearly match standard qudits, exploring impacts on semi-device-independent protocols and dimension testing.
Coherent States and Entropy in Geometric Quantization
Explore coherent states and entropy in geometric quantization, examining entanglement entropy bounds on Kähler manifolds.
The Total Variation Wasserstein Problem - A New Derivation of the Euler-Lagrange Equations
Explore a novel derivation of Euler-Lagrange equations for the Total Variation Wasserstein problem, advancing understanding in mathematical optimization and transport theory.
Entangling Superconducting Qudits
Explore superconducting qudit-based quantum computing, focusing on efficient entanglement techniques for enhanced computational power in multi-level quantum systems.
A Geometric Dichotomy for the Discrete Hilbert Transform
Delve into geometric analysis of finite Hilbert transforms, exploring their norm growth rates and connections to Banach space parameters, martingale type, and Rademacher type.
Noncommuting Conserved Quantities in Quantum Thermodynamics
Explore how noncommuting conserved quantities impact quantum thermodynamics, from thermalization processes to potential applications in information storage and quantum systems.
An ℓp Theory of PCA and Spectral Clustering
Explore an advanced $\ell_p$ theory of PCA, improving upon vanilla PCA for heteroscedastic noises and yielding optimal bounds for spectral clustering and community detection.
Certifying Bipartite Pure Quantum States Efficiently Using Untrusted Devices
Explore efficient certification of bipartite pure quantum states using untrusted devices, requiring fewer measurements while maintaining reliability in quantum experiments.
Certification of Entangled Quantum States and Quantum Measurements in Arbitrary Dimensions
Explore device-independent certification of entangled quantum states and measurements in arbitrary dimensions, including recent advancements and randomness generation schemes.
Postulates of Quantum Mechanics - Part II: Quantum Observables and Time-evolution
Explore quantum observables and time-evolution in quantum mechanics, delving into advanced postulates and theoretical concepts.
On the Concave One-Dimensional Random Assignment Problem: Kantorovich Meets Young
Explore the concave one-dimensional random assignment problem, bridging Kantorovich and Young's theories in this mathematical conference talk by Dario Trevisan.
Path Constrained Unbalanced Optimal Transport
Explore path constrained unbalanced optimal transport with Nicolas Charon, delving into geometric statistics and shape analysis applications.
Hardy Inequalities for Magnetic p-Laplacians
Explore Hardy inequalities for magnetic p-Laplacians in this mathematical conference talk, delving into advanced concepts and their applications in physics and analysis.
Powers of Discrete Laplacians and Hardy-Type Inequalities
Explore powers of discrete Laplacians and Hardy-type inequalities in this mathematical conference talk by Borbala Gerhat, delving into advanced concepts in mathematical physics.
Infrared Finite Scattering Theory in QFT and Quantum Gravity
Explore infrared finite scattering theory in QFT and quantum gravity, addressing IR divergences, memory effects, and challenges in constructing IR-finite S-matrices across various theories.
The Modified Energy Method for a Nonlocal Quasilinear Wave Equation
Explore nonlinear waves and relativity through the modified energy method for a nonlocal quasilinear wave equation in this advanced mathematics lecture.
Quantum Error Correction of Bosonic Qudits Beyond Break-even
Explore quantum error correction for qudits, focusing on experimental demonstrations of error-corrected logical qutrits and ququarts using the GKP bosonic code in circuit QED architecture.
Probabilistic Approach to Liouville Theory
Explore probabilistic approaches to Liouville theory in conformal field theory, focusing on integrable, probabilistic, and supersymmetric methods.
Geometry of Covariance Matrices, Covariance Operators, and Gaussian Processes
Explore geometric approaches to covariance matrices, operators, and Gaussian processes. Gain insights into non-Euclidean distances, Fisher-Rao distance, and Wasserstein distance in infinite-dimensional settings.
The Mathematical Universe Behind Deep Neural Networks - Rothschild Lecture
Explore the mathematical foundations of deep neural networks, covering functional analysis, harmonic analysis, complex analysis, approximation theory, and more with Professor Helmut Bölcskei.
L-functionals: Applications to QED, Gravity and Disordered Systems
Delve into advanced quantum physics concepts, exploring L-functionals and their applications in quantum electrodynamics, linearized gravity, and systems with quenched disorder through mathematical formalism.