32 citations
- Stony Brook UniversityUS5 papers
- Texas Tech UniversityUS4 papers
- Massachusetts Institute of TechnologyUS2 papers
- University of Massachusetts BostonUS2 papers
- Applied Mathematics (United States)US1 paper
- AspenTech (United States)US1 paper
- Astrophysique Relativiste, Théories, Expériences, Métrologie, Instrumentation, SignauxFR1 paper
- Centre de Recherche en InformatiqueFR1 paper
- Centre de Recherche en Informatique, Signal et Automatique de LilleFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Charles Schwab Corporation (United States)1 paper
- École Centrale de LilleFR1 paper
14 papers
Quantum stroboscopy for time measurements
Seth Lloyd, Lorenzo Maccone, Lionel Martellini +1
Mielnik's cannonball argument uses the Zeno effect to argue that projective measurements for time of arrival are impossible. If one repeatedly measures the position of a particle (…
Quantum arrival times in free fall
Mathieu Beau, Timothey Szczepanski, Rafael Martellini +1
The probability distribution of a time measurement at position can be inferred from the probability distribution of a position measurement at time as given by t…
Pick the Largest Margin for Robust Detection of Splicing
Julien Simon de Kergunic, Rony Abecidan, Patrick Bas +1
Despite advancements in splicing detection, practitioners still struggle to fully leverage forensic tools from the literature due to a critical issue: deep learning-based detectors…
Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
Mathieu Beau, Maximilien Barbier, Rafael Martellini +1
Using standard results from statistics, we show that for any continuous quantum system (Gaussian or otherwise) and any observable (position or otherwise), the distrib…
Quantum delay in the time of arrival of free-falling atoms
Mathieu Beau, Lionel Martellini
Using standard results from statistics, we show that for Gaussian quantum systems the distribution of a time measurement at a fixed position can be directly inferred from the distr…
Option Pricing Incorporating Factor Dynamics in Complete Markets
Yuan Hu, Abootaleb Shirvani, W. Brent Lindquist +2
Using the Donsker-Prokhorov invariance principle we extend the Kim-Stoyanov-Rachev-Fabozzi option pricing model to allow for variably-spaced trading instances, an important conside…