Institute for Pure & Applied Mathematics (IPAM) Courses

Transitions in Quantum Spin Systems

Explore quantum spin systems and discover how entanglement relates to temperature, revealing zero entanglement above constant temperature thresholds in this MIT research presentation.

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

A Dobrushin Condition for Quantum Markov Chains

Explore quantum Markov chain mixing times through Dobrushin conditions, quantum Wasserstein distance, and path-coupling techniques for open quantum systems analysis.

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

Predicting Properties of Quantum Thermal States from a Single Trajectory

Discover efficient quantum thermal state property prediction using single trajectory sampling, reducing computational costs below traditional Gibbs sampling mixing times.

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

Boundary-Driven Quantum Systems Near Zeno Limit - Steady States and Long-Time Behavior

Explore boundary-driven quantum systems approaching the Zeno limit, analyzing steady states, long-time behavior, and rigorous error control in composite open quantum systems.

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

Szegedy Walk Unitaries for Quantum Maps

Explore Szegedy walk unitaries and their applications to quantum maps in this advanced quantum algorithms presentation by IBM researcher Kristan Temme.

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

Quantum Regression Theory and Efficient Computation of Response Functions for Non-Markovian Open Systems

Explore quantum regression theory extensions beyond Markov limits for efficient computation of response functions in non-Markovian open quantum systems with polynomial scaling.

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

Deeper Compilation in the Active Volume Architecture

Discover advanced quantum compilation techniques for active volume architecture, achieving 5× speedup through explicit operation scheduling and accurate resource estimation methods.

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

Application Driven Evaluation of Fault-Tolerant Quantum Computing Architectures

Explore fault-tolerant quantum computing architectures through application-driven evaluation using the pyLIQTR framework for QEC codes and algorithm co-design.

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

Holistic Approaches to Quantum Computation - Software and Algorithmics

Explore quantum algorithmic research through numerical procedures and interconnected classical-quantum components for electronic structure problems.

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

FLuid Allocation of Surface code Qubits (FLASQ) Cost Model for Early Fault-Tolerant Quantum Algorithms

Explore the FLASQ cost model for optimizing early fault-tolerant quantum algorithms, addressing spacetime costs and routing constraints in 2D surface code architectures.

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

Ground State Preparation for Near-Term Devices Using System-Bath Coupling Dynamics

Discover quantum ground state preparation using system-bath coupling with minimal resources - single ancilla qubit and forward simulation for near-term quantum devices.

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

A NISQ-Era Quantum Simulation Algorithm with Near-Optimal Precision Scaling

Discover a practical quantum simulation algorithm designed for near-term devices that achieves near-optimal precision scaling while maintaining implementation simplicity.

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

Quantum Phase Estimation in the Language of Digital Signal Processing

Explore quantum phase estimation through digital signal processing concepts, unifying advances from quantum algorithms, metrology, and signal processing into a cohesive framework.

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

Measurement-Driven Quantum Algorithms - Efficient Eigensolvers and Evaluation of Matrix Functions

Explore measurement-driven quantum algorithms for eigensolvers and matrix function evaluation, bridging NISQ to fault-tolerant quantum computing with classical post-processing.

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

Quantum SENiority-based Subspace Expansion (Q-SENSE) and Its Extensions

Explore Q-SENSE, a hybrid quantum-classical algorithm bridging VQE and CI methods using seniority operators to reduce circuit depth while maintaining scalability for NISQ devices.

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