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1
Introduction
2
Background
3
Variational Quantum Eigensolver
4
Contracted Quantum Eigensolver
5
Example Calculation
6
Algorithm
7
Advantages
8
Comparison to other algorithms
9
Comparison to AdaptQV
10
Error Mitigation
11
LimitPreserving Correction
12
Representability Conditions
13
Semidefinite Programming
14
Relative Energy Comparison
15
Two Areas of Further Advance
16
Molecular Simulations
17
Hardware Efficient Onsots
18
Cubic Particle Wave Functions
19
Quantum Eigensolver
20
Quantum Eigensolver Accuracy
21
Thank You
Description:
Explore a 42-minute lecture on the Contracted Quantum Eigensolver (CQE) for quantum simulation of many-electron systems. Delve into this novel hybrid quantum-classical algorithm presented by David Mazziotti from the University of Chicago's Chemistry department at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Learn about the CQE's advantages over variational quantum eigensolvers, its potential for exponential speed-up, and its application in resolving ground-state energies of benzyne isomers using IBM quantum processing units. Discover error-mitigation strategies, the integration of classical 2-RDM methods for total electron correlation, and the application of anti-Hermitian contracted Schrödinger equation (ACSE) and multi-component pair density functional (MC-PDFT) theories. Gain insights into molecular simulations, hardware-efficient onsets, and the accuracy of quantum eigensolvers in this comprehensive exploration of cutting-edge quantum computational methods. Read more

Contracted Quantum Eigensolver for the Quantum Simulation of Many-Electron Systems

Institute for Pure & Applied Mathematics (IPAM)
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