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\iteman{io-port 05185638}
\itemau{Choi, Man-Duen; Kribs, David W.; \D Zyczkowski, Karol}
\itemti{Quantum error correcting codes from the compression formalism.}
\itemso{Rep. Math. Phys. 58, No. 1, 77-91 (2006).}
\itemab
Summary: We solve the fundamental quantum error correction problem for bi-unitary channels on two-qubit Hilbert space. By solving an algebraic compression problem, we construct qubit codes for such channels on arbitrary dimension Hilbert space, and identify correctable codes for Pauli-error models not obtained by the stabilizer formalism. This is accomplished through an application of a new tool for error correction in quantum computing called the ``higher-rank numerical range''. We describe its basic properties and discuss possible further applications.
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\itemut{quantum error correction; noisy quantum channels; algebraic compression; numerical range}
\itemli{doi:10.1016/S0034-4877(06)80041-8}
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