ar X iv : q ua nt - p h / 02 11 09 1 v 4 1 6 Se p 20 13 Hidden Translation and Translating Coset in Quantum Computing ∗

ar X iv : q ua nt - p h / 02 11 09 1 v 1 1 5 N ov 2 00 2 Hidden Translation and Orbit Coset in Quantum Computing ∗

We give efficient quantum algorithms for HIDDEN TRANSLATION and HIDDEN SUBGROUP in a large class of non-abelian groups including solvable groups of bounded exponent and of bounded derived series. Our algorithms are recursive. For the base case, we solve efficiently HIDDEN TRANSLATION in Z p , whenever p is a fixed prime. For the induction step, we introduce the problem ORBIT COSET generalizing ...

ar X iv : q ua nt - p h / 02 06 11 6 v 1 1 8 Ju n 20 02 Five Lectures On Dissipative Master Equations

ar X iv : q ua nt - p h / 06 09 12 6 v 1 1 7 Se p 20 06 SU ( 2 ) Relativity and the EPR Paradox

In the normal presentation of the EPR problem a comparison is made between the (weak) Copenhagen interpretation of quantum mechanics which seems to suggest that at times action at a distance may take place, and the hidden parameter interpretation which must satisfy Bell’s inequality, in contradiction to the predictions of quantum mechanics. In this paper, we consider a relativistic approach to ...

ar X iv : q ua nt - p h / 03 04 09 0 v 4 1 9 Ju n 20 06 HIDDEN SYMMETRY DETECTION ON A QUANTUM COMPUTER

The fastest quantum algorithms (for the solution of classical computational tasks) known so far are basically variations of the hidden subgroup problem with f (U [x]) = f (x). Following a discussion regarding which tasks might be solved efficiently by quantum computers, it will be demonstrated by means of a simple example, that the detection of more general hidden (two-point) symmetries V {f (x...

ar X iv : q ua nt - p h / 05 09 19 4 v 1 2 8 Se p 20 05 Nonlocality without inequalities ∗

We prove that every conceivable hidden variable model reproducing the quantum mechanical predictions of almost any entangled state must necessarily violate Bell’s locality condition. The proof does not involve the consideration of any Bell inequality but it rests on simple set theoretic arguments and it works for almost any noncompletely factorizable state vector associated to any number of par...