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Certifying Almost All Quantum States with Few Single-Qubit Measurements

Offered By: Simons Institute via YouTube

Tags

Quantum Information Science Courses Neural Networks Courses Tensor Networks Courses

Course Description

Overview

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Explore a groundbreaking lecture on certifying quantum states using minimal single-qubit measurements. Delve into Robert Huang's research from the California Institute of Technology, which introduces a novel technique for verifying n-qubit states with only O(n^2) measurements. Learn how this method relates certification to random walk mixing times, offering significant implications for quantum system benchmarking, circuit optimization, and efficient prediction of non-local properties. Discover applications in neural networks, tensor networks, and other quantum state representations, with numerical experiments demonstrating advantages over existing methods like cross-entropy benchmarking (XEB). Gain insights into the potential impact on quantum information science and the verification of complex quantum systems.

Syllabus

Certifying almost all quantum states with few single-qubit measurements


Taught by

Simons Institute

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