Publications [#235823] of Robert Calderbank

Journal articles or Book chapters PUBLISHED
  1. Calderbank, AR; Rains, EM; Shor, PW; Sloane, NJA, Quantum error correction and orthogonal geometry, Physical Review Letters, vol. 78 no. 3 (1997), pp. 405-408 .

    A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.