Error Avoiding Quantum Codes and Dynamical Stabilization of Grover's Algorithm

An error avoiding quantum code is presented which is capable of stabilizing Grover's quantum search algorithm against a particular class of coherent errors. This error avoiding code consists of states only which are factorizable in the computational basis. Furthermore, its redundancy is smaller than the one which is achievable with a general error correcting quantum code saturating the quantum Hamming bound. The fact that this code consists of factorizable states only may offer advantages for the implementation of quantum gates in the error free subspace

A new class of designs which protect against quantum jumps

We present the theory and construction of a new class of designs, which we call SEEDs (spontaneous emission error designs), arising in the study of decay processes of certain quantum systems used in the newly emerging field of quantum computing. We show that there is a simple and surprising connection between subspaces of the system Hilbert space, stable against these quantum jumps and the incidence matrices of SEEDs.20 page(s