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quant-ph2026
Constant-time equilibration of observables under rapid Lindbladian dynamics
Štěpán Šmíd, Richard Meister, Mario Berta +1
Markovian open-system dynamics have widespread applications throughout quantum information science, including algorithmic state preparation. Their convergence is commonly quantifie…
quant-ph2026
Exponentially Fast Solution State Preparation for the Heat Equation and its use for Option Pricing
Gumaro Rendon, Stepan Smid, Sarvagya Upadhyay
In this work, we present the methods necessary to price an important set of derivatives on a quantum device while offering an advantage over existing classical methods. The methods…
quant-ph2026
Preconditioned Multivariate Quantum Solution Extraction
Gumaro Rendon, Stepan Smid
Numerically solving partial differential equations is a ubiquitous computational task with broad applications in many fields of science. Quantum computers can potentially provide h…