Quantum Lattice Gauge Theories on Qubit Hardware
Lattice gauge theories put fields such as QCD on a spacetime grid, following Kenneth Wilson. How they could be simulated on qubit hardware.
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Simulating Quantum Field Theory on a Quantum Computer
How quantum field theories could be simulated on quantum computers: lattice discretization, Trotterization and what such simulations could reveal.
Quantum Statistical Mechanics: Ensembles With Qubits
Quantum statistical mechanics describes quantum systems in thermal equilibrium. Ensembles, partition functions, Fermi-Dirac and Bose-Einstein statistics.
Quantum Path Integral Methods and Their Uses
Feynman’s path integral sums over all possible histories of a system. How it is used for tunneling, scattering, field theory and numerical methods.
The Quantum Metropolis Algorithm, Step by Step
The quantum Metropolis algorithm samples thermal states of quantum Hamiltonians on a quantum computer. How it adapts the classical method step by step.
PEPS: Projected Entangled Pair States in 2D
Projected entangled pair states extend matrix product states to two-dimensional lattices. Their formulation, computational cost and uses.
Matrix Product States: One-Dimensional Entanglement
Matrix product states capture the entanglement of one-dimensional quantum systems efficiently. Formulation, entanglement entropy and uses.
Tensor Network Methods for Many-Body Physics
Tensor networks represent many-body quantum states efficiently. Their history, mathematics, graphical notation and uses in physics and chemistry.
Machine Learning to Speed Up Quantum Simulation
How machine learning helps quantum simulation, from finding good circuit parameters to modeling quantum states, and the open challenges.
Phase Estimation for Simulating Molecules
How quantum phase estimation is used to compute molecular energies, how it compares with VQE and the resources it requires.
Quantum Molecular Dynamics: Motion From First Principles
Quantum molecular dynamics simulates the motion of atoms using forces computed from quantum mechanics. Methods and uses in chemistry and biology.
Quantum Chemical Simulation: Molecules on Qubits
How molecules are simulated on qubits: mapping electrons to qubits, algorithms such as VQE, and uses in materials, catalysts and drugs.