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Quantum Communication Part 2. Aditi Harish-Chandra Research Institute, India. Outline. Classical info transmission. Communication. Without security. Quantum state transmission. Communication. Secure Communication. Quantum Cryptography. DC Capacity: Known/Unknown.

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Quantum Communication Part 2


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    1. Quantum Communication Part 2 Aditi Harish-Chandra Research Institute, India

    2. Outline Classical info transmission Communication Without security Quantum state transmission Communication Secure Communication Quantum Cryptography

    3. DC Capacity: Known/Unknown Single Sender – Single Receiver Many Senders – Single Receiver Solved 

    4. Dense Coding Network 3

    5. Distributed DC: Two receivers Bob (B1) Alice (A1) Alice (A2) Bob (B2)

    6. Distributed DC: Two receivers Bob (B1) Alice (A1) i1 LOCC Alice (A2) Bob (B2) i2

    7. Distributed DC: Two receivers Bob (B1) Alice (A1) Alice (A2) Bob (B2)

    8. Distributed DC: Two receivers Bob (B1) Alice (A1) Alice (A2) Bob (B2) Alices send her particles to Bobs

    9. Distributed DC: Two receivers Bob (B1) Bob (B2) Bobs task: gather info abtik by LOCC

    10. Distributed DC: Two receivers Bob (B1) LOCC Bob (B2) Bobs task: gather info abtik by LOCC

    11. Distributed DC: Two receivers C = Max

    12. Distributed DC: Two receivers C = Max Max LOCC Holevo bound Maximizationoverallencodingsi.e.overall {pi, Ui}

    13. Distributed DC: Two receivers C = Max Max LOCC Holevo bound Maximizationoverallencodingsi.e.overall {pi, Ui} Badziag, Horodecki, ASD, Sen, PRL’03

    14. Distributed DC: Two receivers Bruss, D’Ariano, Lewenstein, Macchiavello, ASD, Sen, PRL’ 04 C = Max Max LOCC Holevo bound Maximizationoverallencodingsi.e.overall {pi, Ui}

    15. DC Capacity: Known/Unknown Single Sender – Single Receiver Many Senders – Single Receiver Solved 

    16. DC Capacity: Known/Unknown Single Sender – Single Receiver Many Senders – Single Receiver Solved  Many Senders – Two Receivers

    17. DC Capacity: Known/Unknown Single Sender – Single Receiver Many Senders – Single Receiver Solved  Many Senders – Two Receivers Partially Solved

    18. DC Capacity: Known/Unknown Single Sender – Single Receiver Many Senders – Single Receiver Solved  Many Senders – Two Receivers Partially Solved Many Senders – Many Receivers Not Solved 

    19. Outline Classical info transmission Communication Without security Quantum state transmission Communication Secure Communication Quantum Cryptography

    20. Quantum Dense Coding Task: Classical info transmission Quantum Dense Coding

    21. Quantum Dense Coding Task: Classical info transmission Medium: Quantum State Quantum Dense Coding

    22. Quantum Dense Coding Task: Classical info transmission Medium: Quantum State Task: Quantum state/info transmission Task: quantum state/info transmission Quantum Dense Coding

    23. Quantum Dense Coding Task: Classical info transmission Medium: Quantum State Task: Quantum state/info transmission Medium: Quantum State Quantum Dense Coding

    24. Task: Classical info transmission Medium: Quantum State Task: Quantum state/info transmission Medium: Quantum State Quantum Dense Coding Quantum Teleportation

    25. Quantum Teleportation Bennett, Brassard, Crepeau, Jozsa, Peres, Wootters, PRL 1993

    26. Quantum Teleportation Task: Sending arbitrary quantum state

    27. Quantum Teleportation Task: Sending

    28. Quantum Teleportation Task: Sending

    29. Quantum Teleportation Task: Sending Classical: Infinite communication

    30. Quantum Teleportation Task: Sending Classical: Infinite communication

    31. Quantum Teleportation Bob Alice A in B

    32. Quantum Teleportation Bob Alice A in B Alice performs measurements on “in’’ and A

    33. Quantum Teleportation Bob Alice After measurement A in B

    34. Quantum Teleportation Bob Alice After measurement A in B 2 bits of classical comm. sent by Alice to Bob

    35. Quantum Teleportation Bob Alice After measurement A in B Bob performs unitary

    36. Quantum Teleportation Bob Alice After measurement A in B State is with Bob

    37. Moral Quantum Classical Vs. Task: sending arbitrary quantum state 2 bits of classical comm Infinite classical comm

    38. Moral Quantum Classical Vs. Task: sending arbitrary quantum state 2 bits of classical comm Infinite classical comm

    39. Is it magic?

    40. Is it magic? Of course not!

    41. Is it magic? Ingredient: Quantum Mechanics

    42. Is it magic? Entangled states

    43. What is entanglement? Unentangled/Useless states: Entangled/Useful states:

    44. What is entanglement? Unentangled/Useless states: Entangled/Useful states:

    45. What is entanglement? Unentangled/Useless states: Entangled/Useful states:

    46. Is it just theory?

    47. Experiments

    48. Photons

    49. Photons 143 Km Teleportation

    50. ~100KM