/ 06 07 16 0 v 2 6 M ar 2 00 7 Arithmetic on a Distributed - Memory Quantum

ar X iv : q ua nt - p h / 06 07 16 0 v 1 24 J ul 2 00 6 Arithmetic on a Distributed - Memory Quantum

We evaluate the performance of quantum arithmetic algorithms run on a distributed quantum computer (a quantum multicomputer). We vary the node capacity and I/O capabilities, and the network topology. The tradeoff of choosing between gates executed remotely, through “teleported gates” on entangled pairs of qubits (telegate), versus exchanging the relevant qubits via quantum teleportation, then e...

ep - p h / 06 12 35 6 v 2 4 M ar 2 00 7 On mass limits for leptoquarks from K 0 L → e ∓ μ ± , B 0 → e ∓ τ ± decays

ar X iv : h ep - t h / 06 03 15 5 v 1 2 0 M ar 2 00 6 Quantum Field Theory : Where We Are

We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum gravity and string theory.

ar X iv : q ua nt - p h / 06 11 18 7 v 1 1 7 N ov 2 00 6 Philosophical Aspects of Quantum Information Theory

2 First steps with quantum information 3 2.1 Bits and qubits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 The no-cloning theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Quantum cryptography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3.1 Key Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Entanglement-as...

ar X iv : 0 80 5 . 25 68 v 1 [ m at h . G M ] 1 6 M ay 2 00 8 AMBIGUITY THEORY , OLD AND NEW

This is a introductory survey of some recent developments of “Galois ideas” in Arithmetic, Complex Analysis, Transcendental Number Theory and Quantum Field Theory, and of some of their interrelations.