Digital Quantum Simulation With Gate Sequences
Digital quantum simulation breaks a system’s time evolution into sequences of gates on a quantum computer. Methods, uses and hardware limits.
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Adiabatic Evolution: The Slow Path to a Solution
Adiabatic evolution keeps a system in its ground state if a Hamiltonian changes slowly enough. The theorem, the steps and uses in optimization.
Quantum Spin Models: Ising, Heisenberg and XY
The Ising, Heisenberg and XY spin models: what they describe, how lattice geometry matters and how they show phase transitions and spin liquids.
Simulating Quantum Many-Body Systems
Methods for simulating quantum many-body systems, from tensor networks to quantum computers, and their uses in materials science.
Simulating Quantum Circuits on Classical Computers
How quantum circuits are simulated on classical computers with state vectors, tensor networks and tools such as Qiskit and Cirq, and where limits lie.
Quantum Monte Carlo Methods and the Sign Problem
Quantum Monte Carlo methods use random sampling to study quantum systems on classical computers. How they work and why the sign problem limits them.
Quantum Lattice Gas Automata for Fluid Models
Quantum lattice gas automata model particles hopping on a lattice with quantum rules and can simulate fluids and many-body physics. How they work.
Quantum Causal Information Flow and Its Measures
How information flows causally through quantum systems, the frameworks and graphs used to describe it, and the challenges posed by entanglement.
Quantum Transfer Entropy Between Subsystems
Transfer entropy measures directed information flow between systems. How a quantum version is defined and its uses in communication and networks.
Quantum Renyi Mutual Information, Explained
Rényi mutual information generalizes mutual information using Rényi entropies. How it is defined for quantum systems and where it is used.
The Quantum Jensen-Shannon Divergence
The quantum Jensen-Shannon divergence is a symmetric, bounded measure of how different two quantum states are. Definition, properties and uses.
Quantum Fidelity Measures and How They Differ
Fidelity measures compared: Uhlmann, Jozsa and Bures versions, how they differ and where they are used in computing and metrology.