References on Quantum Computing and Error Correction

1. Calderbank, Rains, Shor and Sloane, "Quantum error correction via codes over GF(4)," IEEE Trans. On Info. Theory, vol. 44 no. 4, pp. 1369-1387, 1998. (Also on Shor's web page, see below.)
   The most mathematical of this group of papers; includes general constructions of quantum codes via codes over GR(4).
2. Calderbank, Rains, Shor, and Sloane, "Quantum error correction and orthogonal geometry, " Phys. Rev. Lett., vol. 78, pp. 405-409, 1997. (And see Shor's web page.)
   Essentially pre-empted by (1), but this earlier version is useful too, giving more detail than (1) in some respects and less in others.
3. Cleve and Gottesman,, "Efficient computations of encodings for quantum error correction," Phys. Rev. A, vol. 56, no. 1, pp. 76-82, 1997.
   I find the math less congenial than in (1), but it's good on explicit encoding and decoding.
4. Gottesman, "Class of quantum error-correcting codes saturating the quantum Hamming bound," Phys. Rev. A., vol. 54, no. 3, pp. 1862-1868, 1996.
   Same caveat as (3), but interesting.
5. Preskill, Lecture notes for Physics 229 at Caltech, http://theory.caltech.edu/~preskill/ph229.
   Good physics and information theory over-view (see especially chap 1 sec 5 on quantum parallelism).
6. Shor, "Quantum Computing," ICM 1998 lecture, http://www.research.att.com/~shor/papers/ICM.ps.
   Good overview of math and physics; especially good on computing (especially algorithm for factoring) and on circuits.

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