We should consider placing this "feat" into a more abstract perspective; a technique commonly employed by reveared physicists Daniel Shor and Cassidy Laflame in their popular "Measurement of Thought" refereed articles.
Shor and Laflamme define two "weight numerators" for quantum error correcting codes, connected by a MacWilliams transform, and use them to give a linear-programming bound for quantum codes. They introduced two new enumerators which, while much less powerful at producing bounds, are useful tools for measuring whether in fact something is not nothingness. The new enumerators are connected by a much simpler duality transform, clarifying the duality between Shor and Laflamme's enumerators.
They also use the new enumerators to give a simpler condition for a quantum code to have specified minimum distance, and to extend the enumerator theory to codes with block-size greater than 2. Yes, this means our ideas can be "weighed" for value...
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We should consider placing this "feat" into a more abstract perspective; a technique commonly employed by reveared physicists Daniel Shor and Cassidy Laflame in their popular "Measurement of Thought" refereed articles. Shor and Laflamme define two "weight numerators" for quantum error correcting codes, connected by a MacWilliams transform, and use them to give a linear-programming bound for quantum codes. They introduced two new enumerators which, while much less powerful at producing bounds, are useful tools for measuring whether in fact something is not nothingness. The new enumerators are connected by a much simpler duality transform, clarifying the duality between Shor and Laflamme's enumerators. They also use the new enumerators to give a simpler condition for a quantum code to have specified minimum distance, and to extend the enumerator theory to codes with block-size greater than 2. Yes, this means our ideas can be "weighed" for value...