output
20192026
most citedStrategies for solving the Fermi-Hubbard model on near-term quantum computers

187 citations

28 papers

quant-ph2026★ 3 cited

Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states

Kang-Min Hu, Min Namkung, Myung-Hyun Sohn +1

Identification of nonorthogonal quantum states without error is crucial for various applications in quantum information technology, as well as the foundations of quantum physics. T…

quant-ph2025

Fermionic Averaged Circuit Eigenvalue Sampling

Adrian Chapman, Steven T. Flammia

Fermionic averaged circuit eigenvalue sampling (FACES) is a protocol to simultaneously learn the averaged error rates of many fermionic linear optical (FLO) gates simultaneously an…

quant-ph2025★ 5 cited

Ansatz-free Hamiltonian learning with Heisenberg-limited scaling

Hong-Ye Hu, Muzhou Ma, Weiyuan Gong +4

Learning the unknown interactions that govern a quantum system is crucial for quantum information processing, device benchmarking, and quantum sensing. The problem, known as Hamilt…

quant-ph2025★ 2 cited

Extracting the spin excitation spectrum of a fermionic system using a quantum processor

Lucia Vilchez-Estevez, Raul A. Santos, Sabrina Yue Wang +1

Understanding low-energy excitations in fermionic systems is crucial for their characterization. They determine the response of the system to external weak perturbations, its dynam…

quant-ph2024★ 2 cited

Laplace expansions and tree decompositions: A faster polytime algorithm for shallow nearest-neighbour Boson Sampling

Samo Novák, Raúl García-Patrón

In a Boson Sampling quantum optical experiment we send individual photons into an -mode interferometer and we measure the occupation pattern on the output. The statistics of…

quant-ph2024

Entropy density benchmarking of near-term quantum circuits

Marine Demarty, James Mills, Kenza Hammam +1

Understanding the limitations imposed by noise on current and next-generation quantum devices is a crucial step toward demonstrating practical quantum advantage. In this work, we i…

quant-ph2024

Boundaries for quantum advantage with single photons and loop-based time-bin interferometers

Samo Novák, David D. Roberts, Alexander Makarovskiy +2

Loop-based boson samplers interfere photons in the time degree of freedom using a sequence of delay lines. Since they require few hardware components while also allowing for long-r…

hep-ph2024★ 14 cited

Efficient Quantum Simulation of QCD Jets on the Light Front

Wenyang Qian, Meijian Li, Carlos A. Salgado +1

Quark and gluon jets provide one of the best ways to probe the matter produced in ultrarelativistic high-energy collisions, from cold nuclear matter to hot quark-gluon plasma. In t…

quant-ph2024★ 1 cited

Chasing shadows with Gottesman-Kitaev-Preskill codes

Jonathan Conrad, Jens Eisert, Steven T. Flammia

We consider the task of performing shadow tomography of a logical subsystem defined via the Gottesman-Kitaev-Preskill (GKP) error correcting code. Our protocol does not require the…

quant-ph2024★ 1 cited

Fiber Bundle Fault Tolerance of GKP Codes

Ansgar G. Burchards, Steven T. Flammia, Jonathan Conrad

We investigate multi-mode GKP (Gottesman--Kitaev--Preskill) quantum error-correcting codes from a geometric perspective. First, we construct their moduli space as a quotient of gro…

quant-ph2024★ 5 cited

Efficient self-consistent learning of gate set Pauli noise

Senrui Chen, Zhihan Zhang, Liang Jiang +1

Understanding quantum noise is an essential step towards building practical quantum information processing systems. Pauli noise is a useful model that has been widely applied in qu…

quant-ph2024★ 2 cited

Approximating dynamical correlation functions with constant depth quantum circuits

Reinis Irmejs, Raul A. Santos

One of the most important quantities characterizing the microscopic properties of quantum systems are dynamical correlation functions. These correlations are obtained by time-evolv…

quant-ph2024★ 1 cited

How pure can we go with adiabatic state manipulation?

Raul A. Santos, Alex Kamenev, Yuval Gefen

Dissipative systems with decoherence free subspaces, a.k.a. dark spaces (DSs), can be used to protect quantum information. At the same time, dissipation is expected to give rise to…

quant-ph2024★ 20 cited

Exponential improvements in the simulation of lattice gauge theories using near-optimal techniques

Mason L. Rhodes, Michael Kreshchuk, Shivesh Pathak

We report a first-of-its-kind analysis on post-Trotter simulation of U(1), SU(2) and SU(3) lattice gauge theories including fermions in arbitrary spatial dimension. We provide expl…

quant-ph2024★ 8 cited

Unveiling quantum phase transitions from traps in variational quantum algorithms

Chenfeng Cao, Filippo Maria Gambetta, Ashley Montanaro +1

Understanding quantum phase transitions in physical systems is fundamental to characterize their behavior at low temperatures. Achieving this requires both accessing good approxima…

quant-ph2024★ 10 cited

Efficient and practical Hamiltonian simulation from time-dependent product formulas

Jan Lukas Bosse, Andrew M. Childs, Charles Derby +3

In this work we propose an approach for implementing time-evolution of a quantum system using product formulas. The quantum algorithms we develop have provably better scaling (in t…

quant-ph2023★ 85 cited

Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions

Yuri Alexeev, Maximilian Amsler, Paul Baity +124

Computational models are an essential tool for the design, characterization, and discovery of novel materials. Hard computational tasks in materials science stretch the limits of e…

quant-ph2023

Testing quantum satisfiability

Ashley Montanaro, Changpeng Shao, Dominic Verdon

Quantum k-SAT (the problem of determining whether a k-local Hamiltonian is frustration-free) is known to be QMA_1-complete for k >= 3, and hence likely hard for quantum computers t…

quant-ph2023★ 6 cited

Sketching phase diagrams using low-depth variational quantum algorithms

Jan Lukas Bosse, Raul Santos, Ashley Montanaro

Mapping out phase diagrams of quantum systems using classical simulations can be challenging or intractable due to the computational resources required to simulate even small quant…

quant-ph2022★ 23 cited

Accelerating the variational quantum eigensolver using parallelism

Lana Mineh, Ashley Montanaro

Quantum computers are getting larger and larger, but device fidelities may not be able to keep up with the increase in qubit numbers. One way to make use of a large device that has…

quant-ph2022★ 60 cited

Towards near-term quantum simulation of materials

Laura Clinton, Toby Cubitt, Brian Flynn +6

Simulation of materials is one of the most promising applications of quantum computers. On near-term hardware the crucial constraint on these simulations is circuit depth. Many qua…

quant-ph2021★ 105 cited

Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer

Stasja Stanisic, Jan Lukas Bosse, Filippo Maria Gambetta +5

The famous, yet unsolved, Fermi-Hubbard model for strongly-correlated electronic systems is a prominent target for quantum computers. However, accurately representing the Fermi-Hub…

quant-ph2021★ 2 cited

Solving the Hubbard model using density matrix embedding theory and the variational quantum eigensolver

Lana Mineh, Ashley Montanaro

Calculating the ground state properties of a Hamiltonian can be mapped to the problem of finding the ground state of a smaller Hamiltonian through the use of embedding methods. The…

quant-ph2020★ 54 cited

Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance

Dong An, Noah Linden, Jin-Peng Liu +3

Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs). Firstly…