1) Teleportation involves the disembodied transport of information rather than physical transport. It uses entangled quantum states and classical communication to transfer quantum information between distant locations. 2) The experiment involves Alice and Bob sharing an entangled tripartite coherent state. Alice performs measurements on her particles and sends the results to Bob via classical communication. 3) Based on Alice's results, Bob applies a unitary transformation to recover the original quantum state with high fidelity, demonstrating quantum teleportation over a continuous variable system.

1. Teleportation of a
Tripartite Entangled Coherent State
Vasudha Pande
Advisor: Dr. Shivani A. Kumar
Course: M.Sc. AP (Sem-IV)
20th March 2014

2. What teleportation is not.
2

3. 3
t
space
time

4. corporeal transport
4
t'
space
time

5. What teleportation is.
5

6. 6
t
space
time

7. disembodied transport
7
t'
space
time

8. What are entangled coherent states?
8

9. 9
minimum uncertainty
information state
nonlocal quantum correlation
basis-independent inseparability
eigenstates of annihilation operator

10. 10
quantum channel

11. Meet Alice and Bob.
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12. 12
1. distribution
1
4
2
3
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6
7

13. 13
1
4
2
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7
information state

14. 14
1
4
2
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6
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15. 15
2. phase shifting
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8
1
4
2
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16. 16
3. beam splitting
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9 10
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4. phase shifting
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18. 18
5. measurement
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3 cbits

19. 19
6. cbit transfer
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3 cbits

20. 20
7. decision
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6
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3 cbits
Which
UT?

21. 21
8. unitary transformation
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6
7
recovered
information

22. 22
finalglobalstate

23. Alice’s results & corr. recovered information
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1 2
3
4
5
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24. fidelity
24(perfect teleportation) (almost perfect teleportation)

25. 25
average
fidelity
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

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
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

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
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
2
cos4999.0
2
sin5181.0
2
sin0181.034817.0 222 
avF





























2
sin0048.1
2
cos9952.0
2
sin0024.1
2
cos9976.0
4978.0
2
sin1261.03672.0
22
2
22
2



avF
1
2

2
2


26. 26

27. recap
27

28. BS
BS
PS
PS
UT
1
2
3
4
5
6
7
8
9
10
11 12
13
3 cbits
time
Alice
Bob
|R>
|E>
|I>
D
M
PS 14

29. more in dissertation
29

30. What next?
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31. 31

32. 4
2
3
6 7
1
5
noise!
32

33. Thanks! Questions?
33