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Update README.md
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EigenSolver authored Nov 20, 2024
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Expand Up @@ -11,13 +11,13 @@ From the Julia REPL, type `]` to enter the Pkg REPL mode and run
pkg> add SpinShuttling
```

## Example:

Consider two spin qubits sited on a closed pair of quantum dots (QDots). If the distance between the two QDots is small enough (microscopic or mesoscopic scale), then the noise experienced by them will have a non-zero covariance since they will be interacting with the same shared environment. The spatial correlation can be modeled by a Gaussian random field, $W(t, \boldsymbol{x})$. Since the wavefunction of the spin is highly constrained by the moving potential well. We can describe the position of a spin carrier (electron or holes), as a function of time $x(t, \boldsymbol{x})$. Such a trajectory will determine a route-specific projection on the field $W(t, \boldsymbol{x}(t))$, which gives the noise experienced by the spin.

For multiple spin qubits sited within a microscopic nano device, their collective dephasing behavior will be non-trivially impacted by the covariance between noises.

![Sequential shuttling of a pair of entangled qubit](./docs/src/assets/animation2spins.gif)

## Example:

Sequential shuttling of a pair of entangled qubits.

```julia
L=10; σ =sqrt(2)/20; M=5000; N=501; T1=100; T0=25; κₜ=1/20; κₓ=1/0.1;
Expand All @@ -33,6 +33,7 @@ w=dephasingmatrix(model)

println(ρ)
```
![Sequential shuttling of a pair of entangled qubit](./docs/src/assets/animation2spins.gif)

```
f1=statefidelity(model)
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