Quantum-centric supercomputing for materials science: A perspective on challenges and future directions
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …
of novel materials. Computationally hard tasks in materials science stretch the limits of …
Single-ancilla ground state preparation via Lindbladians
We design a quantum algorithm for ground state preparation in the early fault tolerant
regime. As a Monte Carlo style quantum algorithm, our method features a Lindbladian …
regime. As a Monte Carlo style quantum algorithm, our method features a Lindbladian …
Designing open quantum systems with known steady states: Davies generators and beyond
We provide a systematic framework for constructing generic models of nonequilibrium
quantum dynamics with a target stationary (mixed) state. Our framework identifies (almost) …
quantum dynamics with a target stationary (mixed) state. Our framework identifies (almost) …
Simulating open quantum systems using hamiltonian simulations
We present a novel method to simulate the Lindblad equation, drawing on the relationship
between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations …
between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations …
On the sample complexity of quantum Boltzmann machine learning
Abstract Quantum Boltzmann machines (QBMs) are machine-learning models for both
classical and quantum data. We give an operational definition of QBM learning in terms of …
classical and quantum data. We give an operational definition of QBM learning in terms of …
[PDF][PDF] Local minima in quantum systems
Finding ground states of quantum many-body systems is known to be hard for both classical
and quantum computers. As a result, when Nature cools a quantum system in a low …
and quantum computers. As a result, when Nature cools a quantum system in a low …
Estimation of Hamiltonian parameters from thermal states
We upper bound and lower bound the optimal precision with which one can estimate an
unknown Hamiltonian parameter via measurements of Gibbs thermal states with a known …
unknown Hamiltonian parameter via measurements of Gibbs thermal states with a known …
A practitioner's guide to quantum algorithms for optimisation problems
Quantum computing is gaining popularity across a wide range of scientific disciplines due to
its potential to solve long-standing computational problems that are considered intractable …
its potential to solve long-standing computational problems that are considered intractable …
Certified algorithms for equilibrium states of local quantum Hamiltonians
Predicting observables in equilibrium states is a central yet notoriously hard question in
quantum many-body systems. In the physically relevant thermodynamic limit, certain …
quantum many-body systems. In the physically relevant thermodynamic limit, certain …
Thermal state preparation via rounding promises
A promising avenue for the preparation of Gibbs states on a quantum computer is to
simulate the physical thermalization process. The Davies generator describes the dynamics …
simulate the physical thermalization process. The Davies generator describes the dynamics …