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

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

2000-03-30

arxiv.org/abs/quant-ph/0003141v1

Physics

Quantum Physics

Scientific paper

10.1088/1367-2630/2/1/319

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.

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