/ 01 01 09 8 v 2 18 S ep 2 00 1 Quantum cryptography

ua nt - p h / 01 01 09 8 v 2 18 S ep 2 00 1 Quantum cryptography

II A beautiful idea 2 A The intuition . . . . . . . . . . . . . . . 2 B Classical cryptography . . . . . . . . . 3 1 Asymmetrical (public-key) cryptosystems . . . . . . . . . . . . . . . 3 2 Symmetrical (secret-key) cryptosystems . . . . . . . . . . . . . . . . . 4 3 The one-time-pad as “classical teleportation” . . . . . . . . . . . . . . 5 C The example of the BB84 protocol . . . 5 1 Principl...

/ 01 09 01 0 v 1 3 S ep 2 00 1 Clifford algebras , noncommutative tori and universal quantum computers

Recently author suggested [23] an application of Clifford algebras for construction of a " compiler " for universal binary quantum computer together with later development [24] of the similar idea for a non-binary base. The non-binary case is related with application of some extension of idea of Clifford algebras. It is noncommutative torus defined by polynomial algebraic relations of order l. ...

nt - p h / 01 01 09 8 v 2 1 8 Se p 20 01 Quantum cryptography

II A beautiful idea 2 A The intuition . . . . . . . . . . . . . . . 2 B Classical cryptography . . . . . . . . . 3 1 Asymmetrical (public-key) cryptosystems . . . . . . . . . . . . . . . 3 2 Symmetrical (secret-key) cryptosystems . . . . . . . . . . . . . . . . . 4 3 The one-time-pad as “classical teleportation” . . . . . . . . . . . . . . 5 C The example of the BB84 protocol . . . 5 1 Principl...

ar X iv : h ep - p h / 00 09 23 7 v 3 2 9 Ja n 20 01 “ Bottom - up ” thermalization in heavy ion collisions

We describe how thermalization occurs in heavy ion collisions in the framework of perturbative QCD. When the saturation scale Q s is large compared to Λ QCD , thermalization takes place during a time of order α −13/5 Q −1 s and the maximal temperature achieved is α 2/5 Q s .

ar X iv : h ep - t h / 01 03 09 3 v 1 1 3 M ar 2 00 1 Physical Aspects of the Space - Time Torsion