5 papers
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…
Agnostic Dynamical Decoupling for Single-Qubit Gates
Gumaro Rendon
We introduce a method for designing smooth single-qubit control pulses that implement a desired gate while suppressing the effect of unknown static error sources to first order. Un…
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…
Exponentially Improved Constant in Quantum Solution Extraction
Gumaro Rendon
We have provided an algorithm to extract a smooth and positive definite function encoded in quantum memory of size without running into the problem of exponentially s…
All you need is Trotter
Gumaro Rendon
The work here enables linear cost-scaling with evolution time while keeping scaling and no extra block-encoding qubits, where is the algorithmic err…