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20212026
most citedChallenges and Opportunities in Quantum Optimization

181 citations · 397 across the 13 of their papers we have counts for

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13 papers

quant-ph2026

Observation of Improved Accuracy over Classical Sparse Ground-State Solvers using a Quantum Computer

William Kirby, Bibek Pokharel, Javier Robledo Moreno +25

Demonstrating quantum advantage over classical algorithms for ground state energy problems is an outstanding open problem in quantum computation. We experimentally demonstrate that…

quant-ph2025★ 1 cited

Adiabatic state preparation from general initial states

Bryce Fuller, Mario Motta, Stuart M. Harwood +4

A variety of quantum computing algorithms exist for the preparation of approximate Hamiltonian ground states. A natural and important question is how these ground-state approximati…

quant-ph2025★ 1 cited

Improved Quantum Computation using Operator Backpropagation

Bryce Fuller, Minh C. Tran, Danylo Lykov +10

Decoherence of quantum hardware is currently limiting its practical applications. At the same time, classical algorithms for simulating quantum circuits have progressed substantial…

quant-ph2025★ 6 cited

Quantum-Centric Algorithm for Sample-Based Krylov Diagonalization

Jeffery Yu, Javier Robledo Moreno, Joseph T. Iosue +17

Approximating the ground state of many-body systems is a key computational bottleneck underlying important applications in physics and chemistry. The most widely known quantum algo…

quant-ph2024★ 5 cited

Tensor Network enhanced Dynamic Multiproduct Formulas

Niall F. Robertson, Bibek Pokharel, Bryce Fuller +10

Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here w…

quant-ph2024★ 23 cited

Diagonalization of large many-body Hamiltonians on a quantum processor

Nobuyuki Yoshioka, Mirko Amico, William Kirby +16

The estimation of low energies of many-body systems is a cornerstone of computational quantum sciences. Variational quantum algorithms can be used to prepare ground states on pre-f…

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★ 181 cited

Challenges and Opportunities in Quantum Optimization

Amira Abbas, Andris Ambainis, Brandon Augustino +43

Recent advances in quantum computers are demonstrating the ability to solve problems at a scale beyond brute force classical simulation. As such, a widespread interest in quantum a…

quant-ph2023★ 18 cited

Potential and limitations of random Fourier features for dequantizing quantum machine learning

Ryan Sweke, Erik Recio-Armengol, Sofiene Jerbi +4

Quantum machine learning is arguably one of the most explored applications of near-term quantum devices. Much focus has been put on notions of variational quantum machine learning…

quant-ph2023★ 17 cited

Quantum Kernel Alignment with Stochastic Gradient Descent

Gian Gentinetta, David Sutter, Christa Zoufal +2

Quantum support vector machines have the potential to achieve a quantum speedup for solving certain machine learning problems. The key challenge for doing so is finding good quantu…

quant-ph2022★ 27 cited

Amplitude Estimation from Quantum Signal Processing

Patrick Rall, Bryce Fuller

Amplitude estimation algorithms are based on Grover's algorithm: alternating reflections about the input state and the desired outcome. But what if we are given the ability to perf…

quant-ph2021★ 12 cited

Approximate Solutions of Combinatorial Problems via Quantum Relaxations

Bryce Fuller, Charles Hadfield, Jennifer R. Glick +8

Combinatorial problems are formulated to find optimal designs within a fixed set of constraints. They are commonly found across diverse engineering and scientific domains. Understa…

quant-ph2021★ 21 cited

Second-quantized fermionic operators with polylogarithmic qubit and gate complexity

William Kirby, Bryce Fuller, Charles Hadfield +1

We present a method for encoding second-quantized fermionic systems in qubits when the number of fermions is conserved, as in the electronic structure problem. When the number …