Institute for Pure & Applied Mathematics (IPAM) Courses

Fast Multipole Method on a Quantum Computer - IPAM at UCLA

Explore quantum adaptation of fast multipole method for efficient particle interaction approximation, potentially revolutionizing quantum chemistry algorithms with O(n) gate complexity.

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

Optimized Signal for Quantum Phase Estimation on Early Fault-Tolerant Quantum Computer

Explore a novel approach to quantum phase estimation optimized for early fault-tolerant quantum computers, translating the problem into signal processing and using QCELS for eigenvalue approximation.

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

In Pursuit of the First Useful Quantum Computations for Chemistry

Exploring recent quantum algorithms for chemistry, their potential impact, and resource requirements for practical implementation on current and future quantum hardware.

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

Q-PDO and Robust QPE - IPAM at UCLA

Explore quantum algorithms for scientific computation, focusing on Q-PDO and robust quantum phase estimation techniques presented by Stanford's Lexing Ying at IPAM's workshop.

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

Quantum Computation of Stopping Power for Inertial Fusion Target Design

Explores quantum computation for calculating stopping power in inertial fusion, adapting electronic structure algorithms for non-equilibrium dynamics and finite temperature conditions.

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

Time-Marching Strategy Can Work Quantumly for Differential Equations - IPAM at UCLA

Efficient quantum algorithm for solving linear ODEs using time-marching strategy, overcoming previous limitations and introducing a novel "compression gadget" for enhanced success probability.

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

Geometry, Statistical Mechanics, and Integrability - IPAM at UCLA Spring 2024 Program

Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.

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

Quantum Algorithms for Dynamics and Dynamical Observables - IPAM at UCLA

Explore quantum algorithms for measuring response functions and simulating dynamics, including new methods for obtaining Green's functions and efficient circuit synthesis techniques.

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

An Efficient Block Encoding Quantum Circuit for a Pairing Hamiltonian - IPAM at UCLA

Explore efficient block encoding quantum circuits for pairing Hamiltonians, discussing ancilla qubits, circuit structure, and extensions to Fermionic two-body Hamiltonians without Jordan-Wigner transformations.

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

Linear Combination of Hamiltonian Simulation for Non-Unitary Dynamics - IPAM at UCLA

Explore a novel method for simulating non-unitary dynamics using linear combination of Hamiltonian simulation, offering optimal state preparation cost and applications in open quantum systems.

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

Quantum Simulation with Noisy Intermediate-Scale Quantum Processors

Explore advanced quantum simulation techniques using noisy intermediate-scale quantum processors, focusing on cutting-edge developments and practical applications in computational quantum physics.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Quantum Simulation with Noisy Intermediate-Scale Quantum Processors

Explore quantum simulation using noisy intermediate-scale quantum processors in this comprehensive tutorial by Google's Pedram Roushan, covering key concepts and challenges in the field.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Quantum Algorithms for Dynamics Simulation - Differential Equations - IPAM at UCLA

Explore quantum algorithms for simulating dynamics and solving differential equations, focusing on mathematical and computational challenges in quantum computing.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Quantum Algorithms for Dynamics Simulation - Hamiltonian Simulation & General Differential

Explore quantum algorithms for simulating dynamics, focusing on Hamiltonian simulation and differential equations in this comprehensive tutorial by Duke University's Di Fang.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Classical ML for Quantum Problems - IPAM at UCLA

Explore classical machine learning applications in quantum computing, focusing on solving quantum problems and advancing quantum technologies.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video