Coulomb interaction driven entanglement of electrons on helium, theory and experiment
Contents
What is this talk about?
Many people to thank
Why? Basic motivation
Literature and more reading
Quantum Engineering
Candidate systems
Electrons (quantum dots) on superfluid helium
Methods and Applications
Entanglement
More on Entanglement
Entanglement gates in trapped ions and more
A warm-up problem, avoided level crossing and some math
Avoided level crossings
Reminder on density matrices
Two-qubit system and definition of density matrices
Shannon information entropy
Von Neumann entropy
Quantum dots and the Coulomb interaction
Electrons on helium is another qubit platform
Surface state electrons (SSE)
To read more
Experimental set up
Building the solutions
Computational Methods
One-dimensional system
Details 1
Details 2
Hartree method
Measuring the degree of entanglement
More entropy and Schmidt decomposition
Final Von Neumann entropy
Analysis
Results
Interpretations
Basis of left well
Basis of left well
Densities, potential wells overlaps
Schmidt basis for configurations II and III
Von Neumann entropy
Where we are now
Plans
Additional material
How to simulate quantum mechanical systems: VQE and efficient computations of gradients
Setting up the matrix
Implementing the VQE
Gradient descent and calculations of gradients
A smarter way of doing this
Why? Basic motivation
How can we avoid the dimensionality curse? Many possibilities
smarter basis functions
resummation of specific correlations
stochastic sampling of high-lying states (stochastic FCI, CC and SRG/IMSRG)
and more
Use the massive parallelization which quantum computing offers for solving complicated many-body problems
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