Download Broadband Quantum Cryptography (Synthesis Lectures on by Daniel J. Rogers, Ravi Sandhu PDF

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By Daniel J. Rogers, Ravi Sandhu

Quantum cryptography is a quickly constructing box that attracts from a couple of disciplines, from quantum optics to info idea to electric engineering. through combining a few primary quantum mechanical ideas of unmarried photons with numerous facets of data idea, quantum cryptography represents a primary shift within the foundation for protection from numerical complexity to the basic actual nature of the communications channel. As such, it provides the holy grail of knowledge safeguard: theoretically unbreakable encryption. after all, imposing quantum cryptography in genuine broadband communications structures poses a few special demanding situations, together with producing unmarried photons, distilling random keys from the quantum key distribution procedure, and keeping safeguard at either the theoretical and sensible point. total, quantum cryptography has a spot within the background of mystery protecting as a unique and in all probability valuable paradigm shift within the method of broadband facts encryption. desk of Contents: creation / parts of Classical Cryptography / The Quantum Mechanics of Photons / basics of Quantum Key Distribution / details thought and Key Reconciliation / elements for Broadband QKD / A Survey of QKD Implementations / end - QKD on the market

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Extra resources for Broadband Quantum Cryptography (Synthesis Lectures on Quantum Computing)

Example text

The procedure is as follows: Suppose someone named Alice has a very sensitive message that she wants to transmit to her colleague Bob in a perfectly secure way. Of course, we have shown that the only cipher that she can choose is a one time pad. But how can she give Bob a random key that is as long as her message without any possibility of it being intercepted? Because Alice is clever, she realizes that she can use Wiesner’s ideas of conjugate coding, albeit with one modification, to securely send to Bob a stream of randomly polarized that he can use to reconstruct a random key suitable for a one time pad.

Furthermore, phase information that led to the determination of the sign of the original polarization is lost in the projection. That is, there is no way to tell after the polarizer whether the incident light was polarized at +45o or −45o . To see the utility of Jones matrices in such an analysis, consider an incident wave polarized at +45o , as in the above example, passing through a polarizer oriented in the y direction. 7) Ei (z, t) = √ xˆ + yˆ E0 exp (i (kz − ωt)) . 2 Since the vertical polarizer acts to project the polarization of Ei onto the y axis, we can write the field propagating out of the polarizer as 1 Eo (z, t) = √ yE ˆ 0 exp (i (kz − ωt)) .

Each time one of Bob’s four detectors clicks, he asks Alice over an open communication channel in what basis she chose to send that photon. If it matches the basis that contained his clicking detector, he keeps whatever bit value that corresponds to his detector as the next bit of the random key and tells Alice to do the same, without actually revealing the value of that bit (recall that Alice made the original bit choice in the first place). If the bases do not match, they simply ignore Bob’s detection, and they repeat the process again and again until they have accumulated enough bits to match the length of Alice’s original super-sensitive measurement.

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