1. Quantum Error Correction: Andrew Landahl David Gottesman Dr. Wu And others

4. Stabilizer measurement?? l This is implementing a measurement (interpreting 0 as +1, and 1 as –1) Z1Z1

5. l This is implementing a measurement Stabilizer measurement?? Z1Z1 Z2Z2

6. l This is implementing a measurement Stabilizer measurement??

7. Notation clarification l For an n-qubit system denotes l E.g. n=3, then What does it mean Z 1 Z 2 ?

8. The Shor Code as a Stabilizer code

10. Stabilizer codes

11. Stabilizer Codes by Gottesman, 1997

24. Classical (7,4,3) Hamming Code C 1

25. Stabilizer for Steane code

26. Steane code: based on Hamming code

34. Vector Space under Symplectic Inner Products

35. Weight and Distance

36. Theorem for Existence of Additive QECC

37. Stabilizer for 5-qubit [5,1,3] code

38. Symplectic Form for Stabilizer

39. Commuting Group

40. Linear Block Codes

41. Standard Symplectic Form

42. Encoder for Stabilizer Codes

43. [5,1,3] Quantum Encoder (X part) (5,1,3) code

44. Complete [5,1,3] Quantum Encoder (5,1,3) code