3 papers
quant-ph2025
Canonical Partition Function on a Quantum Computer through Trotter Interpolation
Taozhi Guo, Gumaro Rendon, Rutuja Kshirsagar
In this work, we present a Gibbs state observable estimation algorithm based on Trotter interpolation, which reaches a state-of-the-art quantum computational cost of $ \tilde{O}(β…
quant-ph2025
Exponential Improvement on Asian Option Pricing Through Quantum Preconditioning Methods
Gumaro Rendon, Rutuja Kshirsagar, Quoc Hoan Tran
In this work, we present a quantum algorithm designed to solve the differential equation used in the pricing of Asian options, in the framework of the Black-Scholes model. Our appr…
quant-ph2025
Efficient ground-state energy estimation and certification on early fault-tolerant quantum computers
Guoming Wang, Daniel Stilck França, Gumaro Rendon +1
A major thrust in quantum algorithm development over the past decade has been the search for the quantum algorithms that will deliver practical quantum advantage first. Today's qua…