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We present a unifying approach to quantum error correcting code design that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters. We use this framework to generate new codes with superior parameters to any previously known. In particular, we find ((10, 18, 3)) and ((10, 20, 3)) codes. We also show how to construct encoding circuits for all...
A methodology is presented for synthesis of area-efficient, high-performance VLSI modules for vector and matrix multiplication. Three fundamental computational elements are employed in the composition of these architectures: memory register, multiplexer (1-from-2 data selecter), and carry-save add-shift computer. Two's complement serial/parallel carry-save accumulation provides performance, while...
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