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Quantum Communication. Aditi Sen (De) Harish-Chandra Research Institute, India. Outline. Communication. Communication. Secure Communication. Quantum Cryptography. Outline. Classical info transmission. Communication. Without security. Quantum state transmission. Communication.

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Quantum Communication


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    1. Quantum Communication AditiSen(De) Harish-Chandra Research Institute, India

    2. Outline Communication Communication Secure Communication Quantum Cryptography

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

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

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

    6. Communication

    7. Communication

    8. What is Communication? At least 2 parties Sender Receiver Bob Alice Communication is a process by which information is sent by a sender to a receiver via some medium.

    9. What is Communication? At least 2 parties Sender Receiver Bob Alice Communication is a process by which information is sent by a sender to a receiver via some medium.

    10. What is Communication? At least 2 parties Sender Receiver Bob Alice Communication is a process by which information is sent by a sender to a receiver via some medium.

    11. What is Communication? At least 2 parties Sender Receiver Bob Alice Communication is a process by which information is sent by a sender to a receiver via some medium.

    12. What is Communication? At least 2 parties Sender Receiver Bob Alice a process by which information is sent by a sender to a receiver via some medium.

    13. What is Communication? encodes Alice (Encoder) Sends Bob (Decoder) receives & decodes

    14. What is Communication? informationmustbeencoded in, and decodedfrom a physicalsystem. encoding/Decoding red-green balls, sign of charge of a particle. “Informationisphysical” ---Landauer Classical World Only orthogonal states Quantum World: Nonorthogonal states

    15. What is Communication? informationmustbeencoded in, and decodedfrom a physicalsystem. encoding/Decoding red-green balls, sign of charge of a particle. “Informationisphysical” ---Landauer Classical World Only orthogonal states Quantum World: Nonorthogonal states

    16. What is Communication? informationmustbeencoded in, and decodedfrom a physicalsystem. encoding/decoding red-green balls, sign of charge of a particle. “Informationisphysical” ---Landauer Classical World Only orthogonal states Quantum World: Nonorthogonal states

    17. What is Communication? informationmustbeencoded in, and decodedfrom a physicalsystem. encoding/decoding red-green balls, sign of charge of a particle. “Informationisphysical” ---Landauer Classical World Only orthogonal states Quantum World: Nonorthogonal states

    18. What is Communication? informationmustbeencoded in, and decodedfrom a physicalsystem. encoding/decoding red-green balls, sign of charge of a particle. “Informationisphysical” ---Landauer Do quantum states advantageous? Classical World Only orthogonal states Quantum World: Nonorthogonal states

    19. Classical Information Transmission via Quantum States Part 1

    20. Quantum Dense Coding Bennett & Wiesner, PRL 1992

    21. Classical Protocol Sunny Windy Snowing Raining

    22. Classical Protocol Sunny Windy Snowing Raining

    23. Classical Protocol Sunny Windy

    24. Classical Protocol Sunny Windy Snowing Raining

    25. Classical Protocol Sunny Windy Snowing Raining

    26. Classical Protocol Sunny 2 bits Windy Snowing Raining

    27. Classical Protocol Sunny 2 bits Windy Classical computer unit: Bit = one of {0, 1} Snowing Raining

    28. Classical Protocol Alice Bob Message Encoding Decoding Sunny 00 Sending Snowing Distinguishable by color 01 Windy 10 Raining 11

    29. Classical Protocol Alice Bob Message Encoding Decoding Sunny 2 bits 4 dimension Snowing Distinguishable by color Windy Raining

    30. What abt Quantum?

    31. Quantum Protocol Alice Bob Message Sunny B A Snowing Windy Singlet state Raining

    32. Bob Alice U B A Message Alice performs unitary on her particle I Sunny Snowing Windy Raining

    33. Bob Alice U B A Message Alice performs unitary on her particle I Sunny Snowing Creates 4 orthogonal states Singlet, Triplets Windy Raining

    34. Bob Alice U B A Message I Sunny Alice sends her particle to Bob Snowing Windy Raining

    35. Bob Alice B A Message I Sunny Bob has 2 particles: one of the triplets or singlet Snowing Windy Raining

    36. B A Alice Bob Decoding Message I Sunny Snowing 4 orthogonal states Possible to distinguish Windy Raining

    37. B A Alice Bob Decoding Message I Sunny Snowing 4 orthogonal states Possible to distinguish Windy Decodes message Raining

    38. B A Alice Bob Decoding Message I Sunny 2 bits 2 dimension Snowing 4 orthogonal states Possible to distinguish Windy Raining

    39. Moral Quantum Classical Vs. Task: sending 2 bits Encoding: 2 Dimensions Encoding: 4 Dimensions

    40. Moral Quantum Classical Vs. Task: sending 2 bits Encoding: 2 Dimensions Encoding: 4 Dimensions Bennett & Weisner, PRL 69, 2881 (’92).

    41. Dense Codingfor arbitrary state Hiroshima, J. Phys. A ’01; Ziman & Buzek, PRA ’03, Bruss, D’Ariano, Lewenstein, Macchiavello, ASD, Sen, PRL’ 04

    42. B A Alice & Bob share a state

    43. Encoding B A Alice’s aim: to send classical info i

    44. Encoding B A Alice’s aim: to send classical info i which occurs with probability pi

    45. Encoding Ui B A Alice performs pi , Ui

    46. Encoding Ui B A Alice performs pi , Ui she produces the ensemble E = {pi, ri}

    47. Encoding Ui B A Alice performs pi , Ui she produces the ensemble E = {pi, ri}

    48. Sending Ui B A Alice performs pi , Ui she produces the ensemble E = {pi, ri} Alice sends her particle to Bob

    49. Decoding A B Bob Alice

    50. Decoding A B Bob’s task: Gather info abti Alice