825 citations · 2.9k across the 47 of their papers we have counts for
48 papers
A low-symmetry ground state of dense two-dimensional hydrogen
Cesare Cozza, Chris J. Pickard, Guglielmo Mazzola
Hydrogen under pressure is an extremely complex system featuring molecular dissociation, metallization, and anomalous melting. While bulk hydrogen has been studied for nearly a cen…
Practical advantage beyond the quadratic speedup limit with fully-quantum walks
Massimiliano Incudini, Guglielmo Mazzola
We introduce a new class of fully-quantum Metropolis walks in which both the proposal and acceptance steps are intrinsically quantum. Unlike standard quantum walks obtained by quan…
Quantum computing for genomics: conceptual challenges and practical perspectives
Aurora Maurizio, Guglielmo Mazzola
We assess the potential of quantum computing to accelerate computation of central tasks in genomics, focusing on often-neglected theoretical limitations. We discuss state-of-the-ar…
A Denser Hydrogen Inferred from First-Principles Simulations Challenges Jupiter's Interior Models
Cesare Cozza, Kousuke Nakano, Saburo Howard +3
First-principle modeling of dense hydrogen is crucial in materials and planetary sciences. Despite its apparent simplicity, predicting the ionic and electronic structure of hydroge…
Accurate and thermodynamically consistent hydrogen equation of state for planetary modeling with flow matching
Hao Xie, Saburo Howard, Guglielmo Mazzola
Accurate determination of the equation of state of dense hydrogen is essential for understanding gas giants. Currently, there is still no consensus on methods for calculating its e…
From quantum-enhanced to quantum-inspired Monte Carlo
Johannes Christmann, Petr Ivashkov, Mattia Chiurco +1
We perform a comprehensive analysis of the quantum-enhanced Monte Carlo method [Nature, 619, 282-287 (2023)], aimed at identifying the optimal working point of the algorithm. We ob…
The linear-mixing approximation in silica-water mixtures at planetary conditions
Valiantsin Darafeyeu, Stephanie Rimle, Guglielmo Mazzola +1
The Linear Mixing Approximation (LMA) is often used in planetary models for calculating the equations of state (EoSs) of mixtures. A commonly assumed planetary composition is a mix…
Benchmarking digital quantum simulations above hundreds of qubits using quantum critical dynamics
Alexander Miessen, Daniel J. Egger, Ivano Tavernelli +1
The real-time simulation of large many-body quantum systems is a formidable task, that may only be achievable with a genuine quantum computational platform. Currently, quantum hard…
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…
Quantum computing for chemistry and physics applications from a Monte Carlo perspective
Guglielmo Mazzola
This Perspective focuses on the several overlaps between quantum algorithms and Monte Carlo methods in the domains of physics and chemistry. We will analyze the challenges and poss…
Challenges of variational quantum optimization with measurement shot noise
Giuseppe Scriva, Nikita Astrakhantsev, Sebastiano Pilati +1
Quantum enhanced optimization of classical cost functions is a central theme of quantum computing due to its high potential value in science and technology. The variational quantum…
A Jastrow wave function for the spin-1 Heisenberg chain: the string order revealed by the mapping to the classical Coulomb gas
Davide Piccioni, Christian Apostoli, Federico Becca +4
We show that a two-body Jastrow wave function is able to capture the ground-state properties of the antiferromagnetic Heisenberg chain with the single-ion anisotropy term, in…
Variational Benchmarks for Quantum Many-Body Problems
Dian Wu, Riccardo Rossi, Filippo Vicentini +30
The continued development of computational approaches to many-body ground-state problems in physics and chemistry calls for a consistent way to assess its overall progress. In this…
Exponential challenges in unbiasing quantum Monte Carlo algorithms with quantum computers
Guglielmo Mazzola, Giuseppe Carleo
Recently, Huggins et. al. [Nature, 603, 416-420 (2022)] devised a general projective Quantum Monte Carlo method suitable for implementation on quantum computers. This hybrid approa…
Phenomenological Theory of Variational Quantum Ground-State Preparation
Nikita Astrakhantsev, Guglielmo Mazzola, Ivano Tavernelli +1
The variational approach is a cornerstone of computational physics, considering both conventional and quantum computing computational platforms. The variational quantum eigensolver…
Quantum-enhanced Markov chain Monte Carlo
David Layden, Guglielmo Mazzola, Ryan V. Mishmash +4
Sampling from complicated probability distributions is a hard computational problem arising in many fields, including statistical physics, optimization, and machine learning. Quant…
Extending the reach of quantum computing for materials science with machine learning potentials
Julian Schuhmacher, Guglielmo Mazzola, Francesco Tacchino +4
Solving electronic structure problems represents a promising field of application for quantum computers. Currently, much effort has been spent in devising and optimizing quantum al…
Towards Quantum Advantage in Financial Market Risk using Quantum Gradient Algorithms
Nikitas Stamatopoulos, Guglielmo Mazzola, Stefan Woerner +1
We introduce a quantum algorithm to compute the market risk of financial derivatives. Previous work has shown that quantum amplitude estimation can accelerate derivative pricing qu…
Sampling, rates, and reaction currents through reverse stochastic quantization on quantum computers
Guglielmo Mazzola
The quest for improved sampling methods to solve statistical mechanics problems of physical and chemical interest proceeds with renewed efforts since the invention of the Metropoli…
Gauge invariant quantum circuits for and Yang-Mills lattice gauge theories
Giulia Mazzola, Simon V. Mathis, Guglielmo Mazzola +1
Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics…
Learning to Measure: Adaptive Informationally Complete Generalized Measurements for Quantum Algorithms
Guillermo García-Pérez, Matteo A. C. Rossi, Boris Sokolov +5
Many prominent quantum computing algorithms with applications in fields such as chemistry and materials science require a large number of measurements, which represents an importan…
Improved accuracy on noisy devices by non-unitary Variational Quantum Eigensolver for chemistry applications
Francesco Benfenati, Guglielmo Mazzola, Chiara Capecci +4
We propose a modification of the Variational Quantum Eigensolver algorithm for electronic structure optimization using quantum computers, named non-unitary Variational Quantum Eige…
A Threshold for Quantum Advantage in Derivative Pricing
Shouvanik Chakrabarti, Rajiv Krishnakumar, Guglielmo Mazzola +3
We give an upper bound on the resources required for valuable quantum advantage in pricing derivatives. To do so, we give the first complete resource estimates for useful quantum d…
Microcanonical and finite temperature ab initio molecular dynamics simulations on quantum computers
Igor O. Sokolov, Panagiotis Kl. Barkoutsos, Lukas Moeller +3
Ab initio molecular dynamics (AIMD) is a powerful tool to predict properties of molecular and condensed matter systems. The quality of this procedure is based on accurate electroni…