What to do if quantum channels are not noiseless enough

          @misc{ pirsa_PIRSA:06050008,
            doi = {10.48660/06050008},
            url = {https://pirsa.org/06050008},
            author = {},
            keywords = {Quantum Information},
            language = {en},
            title = {What to do if quantum channels are not noiseless enough},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {may},
            note = {PIRSA:06050008 see, \url{https://pirsa.org}}
          }
          

Abstract

This talk is concerned with the noise-insensitive transmission of quantum information. For this purpose, the sender incorporates redundancy by mapping a given initial quantum state to a messenger state on a larger-dimensional Hilbert space. This encoding scheme allows the receiver to recover part of the initial information if the messenger system is corrupted by interaction with its environment. Our noise model for the transmission leaves a part of the quantum information unchanged, that is, we assume the presence of a noiseless subsystem or of a decoherence-free subspace. We address the case when the noiseless component cannot contain all the quantum information to be transmitted, and investigate how to best spread the information in a quantum state across the noise-susceptible components. (Joint work with David Kribs and Vern Paulsen.)