Experimental Quantum Error Correction

          @misc{ pirsa_PIRSA:08020034,
            doi = {10.48660/08020034},
            url = {https://pirsa.org/08020034},
            author = {Laflamme, Raymond},
            keywords = {Quantum Information},
            language = {en},
            title = {Experimental Quantum Error Correction},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {feb},
            note = {PIRSA:08020034 see, \url{https://pirsa.org}}
          }
          

Abstract

The Achilles\\\' heel of quantum information processors is the fragility of quantum states and processes. Without a method to control imperfection and imprecision of quantum devices, the probability that a quantum computation succeed will decrease exponentially in the number of gates it requires. In the last ten years, building on the discovery of quantum error correction, accuracy threshold theorems were proved showing that error can be controlled using a reasonable amount of resources as long as the error rate is smaller than a certain threshold. We thus have a scalable theory describing how to control quantum systems. I will briefly review some of the assumptions of the accuracy threshold theorems and comment on experiments that have been done and should be done to turn quantum error correction into an experimental reality.