Spatial Search on Johnson Graphs by Continuous-Time Quantum Walk
Explore quantum walks on Johnson graphs for spatial search, covering setup, strategies, and analysis of search algorithms and success probabilities.
Quantum Walks on Graphs and Group State Transfer
Explore quantum walks, perfect state transfer, and group state transfer in graphs, focusing on algebraic structures and their applications in quantum information theory.
Topological Graph States
Explore topological graph states in quantum error correction, focusing on quantum graph states and their applications in error-correcting codes and topological systems.
Simplifying Dynamic Quantum Walks for Quantum Gates
Explore simplification techniques for dynamic quantum walks in quantum gate implementation, focusing on Hadamard gates and cubic gates with practical examples and observations.
Auxiliary Field Quantum Monte Carlo - AFQMC with Multi Slater Wavefunctions
Explore advanced quantum Monte Carlo techniques, focusing on AFQMC with multi-Slater wavefunctions and efficient exchange matrix evaluation for large-scale quantum systems.
Contracted Quantum Eigensolver for the Quantum Simulation of Many-Electron Systems
Explore a novel quantum algorithm for many-body systems, comparing it to existing methods and demonstrating its advantages in molecular simulations and quantum computing applications.
Quantum Simulation - IPAM at UCLA
Explore quantum simulation's origins, relevance, and key concepts with Nathan Wiebe. Delve into Schrödinger equations, Hamiltonian simulation, and Taylor's theorem in this comprehensive lecture.
Introduction to Quantum Algorithms - IPAM at UCLA
Explore quantum algorithms, focusing on Grover's algorithm, with mathematical foundations, quantum circuits, and practical applications in this comprehensive introduction.
Phase Transitions in the Complexity of Simulating Random Shallow Quantum Circuits
Explores phase transitions in simulating random shallow quantum circuits, discussing computational complexity, tensor network contraction, and mapping 2D circuits to 1D processes with implications for quantum computing.
Tropical Tensor Networks
Unified tensor network approach for spin glasses using tropical algebra, enabling ground state energy computation, optimal configuration identification, and solution counting. Combines graphical models and quantum circuit simulation.
David Gross: Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors
Explore advanced quantum error correction techniques, focusing on the stabilizer formalism and its applications in quantum fault tolerance, using tensor-based approaches and group theory.
Oscillator-to-Oscillator Codes Do Not Have a Threshold
Explores limitations of oscillator-to-oscillator codes in quantum information, proving they lack a threshold property for error correction when using constant squeezing and maximum likelihood decoding.
Machine Learning for Quantum Simulation - IPAM at UCLA
Explore machine learning applications in quantum simulation, focusing on neural networks for phase recognition and insights into complex quantum systems.
Tensor Networks -QC-DMRG- in a Complete Active Space Coupled Cluster Method
Explore tensor networks in quantum mechanics, focusing on their application in coupled cluster methods for modeling strongly correlated systems and computing dynamical correlations.
Embedding Theories for Quantum Simulations on Hybrid Classical-Quantum Architectures
Explore quantum embedding theory for spin-defects in solids, comparing frameworks and discussing applications on classical and quantum computers for electronic structure calculations of qubits.
Training Quantum Neural Networks with an Unbounded Loss Function - IPAM at UCLA
Explore quantum neural networks, unbounded loss functions, and techniques to overcome barren plateaus in quantum machine learning, with applications in thermal state and Hamiltonian learning.
Quantum Approximate Optimization Algorithm and Local Max-Cut - IPAM at UCLA
Explore quantum optimization algorithms, focusing on QAOA's application to LocalMaxCut. Discover insights on quantum supremacy and the performance comparison between local algorithms and QAOA on various graph instances.
Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers
Explore Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers, featuring a simplified circuit and classical post-processing for improved efficiency.
Sophia Economou - Problem-Tailored Variational Quantum Algorithms - IPAM at UCLA
Explore problem-tailored variational quantum algorithms, including symmetry-preserving circuits, ADAPT-VQE, and ctrl-VQE, for improved performance in quantum simulations.
Arithmetic Tensor Networks and Integration - IPAM at UCLA
Explore arithmetic tensor networks and their applications in function integration, with insights on exact and approximate contraction methods and their implications for various mathematical problems.
Optimal Scaling Quantum Linear Systems Solver via Discrete Adiabatic Theorem
Explore optimal quantum linear systems solver using discrete adiabatic theorem, achieving linear complexity in condition number and precision, with simplified implementation and constant factor analysis.