Francisco Escudero Guti'errez

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20232026

most citedInfluences of Fourier Completely Bounded Polynomials and Classical Simulation of Quantum Algorithms

1 citations · 1 across the 7 of their papers we have counts for

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quant-ph2024

Learning low-degree quantum objects

Srinivasan Arunachalam, Arkopal Dutt, Francisco Escudero Gutiérrez +1

We consider the problem of learning low-degree quantum objects up to $ε$ -error in $ℓ_{2}$ -distance. We show the following results: $(i)$ unknown $n$ -qubit degree- $d$ (in…

math.CO2024

All $S_{p}$ notions of quantum expansion are equivalent

Francisco Escudero Gutiérrez, Garazi Muguruza

In a recent work Li, Qiao, Wigderson, Wigderson and Zhang introduced notions of quantum expansion based on $S_{p}$ norms and posed as an open question if they were all equivalent. We…

quant-ph2024

Simple algorithms to test and learn local Hamiltonians

Francisco Escudero Gutiérrez

We consider the problems of testing and learning an $n$ -qubit $k$ -local Hamiltonian from queries to its evolution operator with respect the 2-norm of the Pauli spectrum, or equival…

Learning low-degree quantum objects

All Sp​ notions of quantum expansion are equivalent

Simple algorithms to test and learn local Hamiltonians

All $S_{p}$ notions of quantum expansion are equivalent