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

1. Entanglement Swapping
Vasudha Pande
Advisor: Dr. Shivani A. Kumar
Course: M.Sc. AP (Sem-I)
14 December 2012

2. Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
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3. Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
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4. |Ψ = α|0 + β|1
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5. |Ψ = α|0 + β|1
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basis states

6. |Ψ = α|0 + β|1
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basis states
complex numbers

7. |Ψ = α|0 + β|1
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basis states
complex numbers
linear superposition

8. |Ψ corresponds to a wave function.
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9. |Ψ corresponds to a wave function.
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wave packet
vector in complex Hilbert Space

10. |Ψ corresponds to a wave function.
10
wave packet
vector in complex Hilbert Space
superposition of eigenstates of an observable

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
Bloch Sphere

13. |Ψ yields one classical bit post-measurement.
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14. |Ψ yields one classical bit post-measurement.
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basis state |0 with probability ||2
probabilistic outcome

15. Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
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16. N(|0012 + |1112)
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17. N(|0012 + |1112)
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inseparable

18. N(|0012 + |1112)
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inseparable
nonlocal correlation

19. N(|0012 + |1112)
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inseparable
nonlocal correlation
monogamous

20. Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
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21. Disembodied transport of a physical system.
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22. 22
Teleportation Protocol: Schematic Diagram

23. Outline
1. Quantum State
2. Quantum Entanglement
3. Quantum Teleportation
4. Entanglement Swapping
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24. Transfer of nonlocal correlations between
quantum systems.
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25. 25
Swapping Protocol: Schematic Diagram

26. Thank you.
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27. Questions?
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