Quantum Computing and Quantum Mechanics for Many Interacting Particles
Contents
What is this talk about?
Many fantastic Folks involved
Why? Basic motivation
Short background
Quantum Engineering
Candidate systems
Electrons (quantum dots) on superfluid helium
Methods and Applications
Entanglement
More on Entanglement
Entanglement gates in trapped ions and more
Coulomb interaction
Electrons on helium is another qubit platform
Surface state electrons (SSE)
Typical Setup
Computational Methods
One-dimensional system
Many-particle States
Setup of States, One-body States
Setup of States, Two-body States
Where we are now
Quantum algorithms for solving many-body problems, simple model
More on the pairing model
Unitary Coupled Cluster Ansatz
Technicalities
Mapping Pair Operators to Pauli Gates
Mapping the Ansatz
Trotter approximation
Mapping the Hamiltonian
More manipulations
Hamiltonian
Exact and Calculated Correlation Energies vs Pairing Strength for \( (p,n)=(4,2) \)
Exact and Calculated Correlation Energies vs Pairing Strength for \( (p,n)=(5,2) \)
Quantum Machine Learning
More on Quantum Machine Learning
Present Plans
Conclusions and where do we stand
Methods and Applications
Time-Dependent full configuration interaction theory
Time-dependent Coupled-Cluster theory
Designing quantum circuits
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