content-report

Preface. 3

1.  Some preliminary definitions. 5

2.  Definition Kronecker product 7

3.  Qubits and quantum memory. 8

4.  Basic operations on qubits. 9

4.1 Bloch sphere. 10

4.2  Examples of  transformations (quantum gates) that can be applied. 12

4.3 Entanglement 14

4.4 Bell states. 17

4.5 Quantum Teleportation. 20

5. Key Concepts of Multi-Electron Entanglement 23

6. Cooper pairs. 24

6.1 Key Points about Cooper Pairs. 25

6.2 Cooper-pair splitters. 26

6.3 Quantum Dots. 27

7. Hamiltonian. 28

7.1 Hamiltonian of an electron in a magnetic field. 29

8. Bloch sphere positioning. 33

9. Simon's problem.. 33

9.1 Example. 36

10. References. 40