We will look at an approach of building a quantum computer by using trapped ions:

We look at single atoms with one electron orbiting the nucleus.
The quantum state is encoded as the orbital of the electron.

## Setup

![[Pasted image 20260805193638.png]]


## Operations

### Cooling

An ion of energy level $E_i$ when hit by a photon of energy level $E_j-E_i$ will go to energy level $E_j$

![[Pasted image 20260805194238.png]]
![[Pasted image 20260805194245.png]]

### Measurements
![[Pasted image 20260805194600.png]]

### Unitaries

![[Pasted image 20260805194614.png]]
![[Pasted image 20260805194630.png]]
![[Pasted image 20260805194639.png]]