Paulo Bedaque

A.I. for nuclear physics

The European Physical Journal A · 2021 · 42 citations

Spectrum of digitized QCD: Glueballs in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1080</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> gauge theory

Physical review. D/Physical review. D. · 2022 · 35 citations

Quantum simulations of QCD require digitization of the infinite-dimensional gluon field. Schemes for doing this with the minimum amount of qubits are desirable. We present a practical digitization for $SU(3)$ gauge theories via its discrete subgroup $S(1080)$. Using a modified action that allows classical simulations down to $a\ensuremath{\approx}0.08\text{ }\text{ }\mathrm{fm}$, the low-lying glueball spectrum is computed with percent-level precision at multiple lattice spacings and is shown to…

How many quantum gates do gauge theories require?

Physical review. D/Physical review. D. · 2022-11-14 · 32 citations

We discuss the implementation of lattice gauge theories on digital quantum computers, focusing primarily on the number of quantum gates required to simulate their time evolution. We find that to compile quantum circuits, using available state-of-the-art methods with our own augmentations, the cost of a single time step of an elementary plaquette is beyond what is reasonably practical in the current era of quantum hardware. However, we observe that such costs are highly sensitive to the truncatio…

Qubitization strategies for bosonic field theories

Physical review. D/Physical review. D. · 2023-02-09 · 19 citations

Quantum simulations of bosonic field theories require a truncation in field space to map the theory onto finite quantum registers. Ideally, the truncated theory preserves the symmetries of the original model and has a critical point in the same universality class. In this paper, we explore two different truncations that preserve the symmetries of the $1+1$-dimensional $O(3)$ nonlinear $\ensuremath{\sigma}$ model---one that truncates the Hilbert space for the unit sphere by setting an angular mom…

Fuzzy gauge theory for quantum computers

Physical review. D/Physical review. D. · 2024-05-06 · 15 citations

Continuous gauge theories, because of their bosonic degrees of freedom, have an infinite-dimensional local Hilbert space. Encoding these degrees of freedom on qubit-based hardware demands some sort of “qubitization” scheme, where one approximates the behavior of a theory while using only finitely many degrees of freedom. We propose a novel qubitization strategy for gauge theories, called “fuzzy gauge theory,” building on the success of the fuzzy <a:math xmlns:a="http://www.w3.org/1998/Math/MathM…