Institute for Pure & Applied Mathematics (IPAM) Courses

More is Different - Non-Scalability of Approximation in Modeling Noncovalent Interaction

2 reviews

Exploring the limitations of common approximations in modeling non-covalent interactions at the nanoscale, revealing complex scaling behaviors and the need for advanced quantum-mechanical methods.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Quantum Walk, Efficient Implementation, and Potential Application - IPAM at UCLA

1 review

Explore quantum walk algorithms, efficient implementations, and potential applications in scientific computation with insights on quantum circuit design for various graph types.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Neural Cross-Frequency Coupling - Delta-Alpha, Resting State, Anesthesia, Sleep

1 review

Explore neural cross-frequency coupling functions, focusing on delta-alpha interactions in resting state, anesthesia, and sleep. Discover how Bayesian inference reveals functional mechanisms of brainwave oscillations.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Quantum Algorithmic Tools for Simulating Open Quantum Systems - IPAM at UCLA

Explore advanced quantum algorithmic techniques for simulating open quantum systems, including improved methods for Lindbaldian simulation and preparing purified Gibbs states with enhanced efficiency.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Single-Ancilla Ground State Preparation via Lindbladians - IPAM at UCLA

Explore a novel Monte Carlo-style quantum algorithm for ground state preparation using Lindblad dynamics, offering efficient simulation with a single ancilla qubit and unique fixed-point convergence.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Open Quantum Systems in Quantum Computing - IPAM at UCLA

Explore efficient methods for simulating open quantum systems, utilizing quantum channels for non-Markovian dynamics, and scaling noise in quantum circuits with expert Xiantao Li.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Lindblad Equations: Variational Analysis and Numerical Methods - IPAM at UCLA

Explore variational analysis and numerical methods for Lindblad equations in quantum algorithms, presented by Duke University's Jianfeng Lu at IPAM's workshop on scientific computation.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Quantum Markov Chain Monte Carlo Algorithm - IPAM at UCLA

Explore quantum Markov Chain Monte Carlo algorithms for sampling Gibbs states, featuring a novel continuous-time quantum Markov chain with efficient simulation and practical applications in lattice Hamiltonians.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Recent Progress in Hamiltonian Learning - IPAM at UCLA

Explores recent advancements in Hamiltonian learning algorithms, focusing on achieving the Heisenberg limit through quantum control, conservation laws, and thermalization. Discusses challenges in practical implementation.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Mean Estimation When You Have the Source Code; or, Quantum Monte Carlo Methods

Explore quantum algorithms for mean estimation, improving upon classical methods with optimal dependence on sample size. Learn about complex-phase Grover's algorithm and its applications.

• YouTube
• 53 minutes
• On-Demand
• Free Video

On the Complexity of Implementing Trotter Steps - IPAM at UCLA

Explore advanced techniques for implementing Trotter steps in quantum simulation, focusing on sublinear complexity methods and applications to electron gas simulation. Includes circuit lower bound analysis.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Quantum State Preparation Without Coherent Arithmetic - IPAM at UCLA

Innovative quantum state preparation method using eigenvalue transformation, reducing qubit count and complexity for various quantum algorithms without coherent arithmetic circuits.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Quantum Algorithm for Simulating Coupled Classical Oscillators - IPAM at UCLA

Quantum algorithm for simulating classical oscillators: efficient simulation of 2^n coupled oscillators, exponential speedup over classical computers, applications in energy estimation and BQP-complete problems.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Modular Quantum Signal Processing With Gadgets - IPAM at UCLA

Explore modular quantum signal processing with gadgets, unifying quantum algorithms and enabling efficient block encoding of multivariable functions for advanced quantum programming.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Aspects of Quantum Simulation of the Fermi-Hubbard Model - IPAM at UCLA

Explore quantum simulation of the Fermi-Hubbard model, focusing on Trotter error bounds and optimization techniques for improved accuracy in quantum circuits and time evolution algorithms.

• YouTube
• 49 minutes
• On-Demand
• Free Video