Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 40: Quantum Information: Quantum Computing

Q 40.5: Talk

Wednesday, March 10, 2010, 17:30–17:45, F 128

Decomposition of nonlinear gates in finite Fock space — Seckin Sefi and •Peter van Loock — Max Planck Institute for the Science of Light

In the article of Lloyd and Braunstein (PRL, 82, 1784), a set of elementary hamiltonians is given as well as a method to simulate any continuous variable hamiltonian of bosonic modes to arbitrary precision by concatenating discrete elements. The method they presented is not constructive and for the most of the hamiltonians does not allow an exact and finite decomposition to the elementary hamiltonian set. Here, complementary to work of Lloyd and Braunstein, we discuss the potential of finite and exact decompositions of gates on occupation number Fock states in finite dimensional encoding. We show that for a finite decomposition of any logical gate on single d level qudit Fock space, a number of d(d−1)/2+d−1 fixed hamiltonians with an order of nonlinearity up to 3d−3 will be sufficient.