Experimental Realization of A Two Bit Phase Damping Quantum Code

Details Experimental Realization of A Two Bit Phase Damping Quantum Code Experimental Realization of A Two Bit Phase Damping Quantum Code

1998-11-24

arxiv.org/abs/quant-ph/9811068v2

Phys.Rev. A60 (1999) 1924-1943

Physics

Quantum Physics

21 pages, 17 figures, mypsfig2, revtex. Minor changes made to appear in PRA

Scientific paper

10.1103/PhysRevA.60.1924

Using nuclear magnetic resonance techniques, we experimentally investigated the effects of applying a two bit phase error detection code to preserve quantum information in nuclear spin systems. Input states were stored with and without coding, and the resulting output states were compared with the originals and with each other. The theoretically expected result, net reduction of distortion and conditional error probabilities to second order, was indeed observed, despite imperfect coding operations which increased the error probabilities by approximately 5%. Systematic study of the deviations from the ideal behavior provided quantitative measures of different sources of error, and good agreement was found with a numerical model. Theoretical questions in quantum error correction in bulk nuclear spin systems including fidelity measures, signal strength and syndrome measurements are discussed.

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