Proceedings will be published under the   NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur.,

Title: Quantum computation and quantum security

Contents

• Preface 3

Part 1: Quantum Computing            

• • • • Quantum computing and new challenges 25

      • 
        

Part 2: Quantum security

• • • • Isogeny based cryptography on Abelian surfaces 30

      • E. Goren, J. Love; Supersingular elliptic curves, quaternion algebras and applications to cryptography 62

      • Counting genus two curves with (n, n)-split Jacobians over finite fields. 20

      • R. Donagi, R. Livne; Abelian varieties with quaternion multiplication                     35