Entanglement Swapping
Vasudha Pande
Advisor: Dr. Shivani A. Kumar
Course: M.Sc. AP (Sem-I)
14 December 2012
Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
2
Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
3
|Ψ = α|0 + β|1
4
|Ψ = α|0 + β|1
5
basis states
|Ψ = α|0 + β|1
6
basis states
complex numbers
|Ψ = α|0 + β|1
7
basis states
complex numbers
linear superposition
|Ψ corresponds to a wave function.
8
|Ψ corresponds to a wave function.
9
wave packet
vector in complex Hilbert Space
|Ψ corresponds to a wave function.
10
wave packet
vector in complex Hilbert Space
superposition of eigenstates of an obse...
|Ψ corresponds to a wave function.
11
wave packet
vector in complex Hilbert Space
superposition of eigenstates of an obse...
12
Bloch Sphere
|Ψ yields one classical bit post-measurement.
13
|Ψ yields one classical bit post-measurement.
14
basis state |0 with probability ||2
probabilistic outcome
Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
15
N(|0012 + |1112)
16
N(|0012 + |1112)
17
inseparable
N(|0012 + |1112)
18
inseparable
nonlocal correlation
N(|0012 + |1112)
19
inseparable
nonlocal correlation
monogamous
Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
20
Disembodied transport of a physical system.
21
22
Teleportation Protocol: Schematic Diagram
Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
23
Transfer of nonlocal correlations between
quantum systems.
24
25
Swapping Protocol: Schematic Diagram
Thank you.
26
Questions?
27
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Entanglement Swapping

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At Amity Institute of Applied Sciences, Amity University, Noida, India. 14 Dec 2012.

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Transcript of "Entanglement Swapping"

  1. 1. Entanglement Swapping Vasudha Pande Advisor: Dr. Shivani A. Kumar Course: M.Sc. AP (Sem-I) 14 December 2012
  2. 2. Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 2
  3. 3. Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 3
  4. 4. |Ψ = α|0 + β|1 4
  5. 5. |Ψ = α|0 + β|1 5 basis states
  6. 6. |Ψ = α|0 + β|1 6 basis states complex numbers
  7. 7. |Ψ = α|0 + β|1 7 basis states complex numbers linear superposition
  8. 8. |Ψ corresponds to a wave function. 8
  9. 9. |Ψ corresponds to a wave function. 9 wave packet vector in complex Hilbert Space
  10. 10. |Ψ corresponds to a wave function. 10 wave packet vector in complex Hilbert Space superposition of eigenstates of an observable
  11. 11. |Ψ corresponds to a wave function. 11 wave packet vector in complex Hilbert Space superposition of eigenstates of an observable measurement leads to collapse
  12. 12. 12 Bloch Sphere
  13. 13. |Ψ yields one classical bit post-measurement. 13
  14. 14. |Ψ yields one classical bit post-measurement. 14 basis state |0 with probability ||2 probabilistic outcome
  15. 15. Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 15
  16. 16. N(|0012 + |1112) 16
  17. 17. N(|0012 + |1112) 17 inseparable
  18. 18. N(|0012 + |1112) 18 inseparable nonlocal correlation
  19. 19. N(|0012 + |1112) 19 inseparable nonlocal correlation monogamous
  20. 20. Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 20
  21. 21. Disembodied transport of a physical system. 21
  22. 22. 22 Teleportation Protocol: Schematic Diagram
  23. 23. Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 23
  24. 24. Transfer of nonlocal correlations between quantum systems. 24
  25. 25. 25 Swapping Protocol: Schematic Diagram
  26. 26. Thank you. 26
  27. 27. Questions? 27

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