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Entanglement purification via separable superoperators
Eric M. Rains
One of the fundamental concepts of quantum information theory is that of entanglement purification; that is, the transformation of a partially entangled state into a smaller-dimens…
Quantum codes of minimum distance two
Eric M. Rains
It is reasonable to expect the theory of quantum codes to be simplified in the case of codes of minimum distance 2; thus, it makes sense to examine such codes in the hopes that tec…
Polynomial invariants of quantum codes
Eric M. Rains
The weight enumerators (quant-ph/9610040) of a quantum code are quite powerful tools for exploring its structure. As the weight enumerators are quadratic invariants of the code, th…
Nonbinary quantum codes
Eric M. Rains
We present several results on quantum codes over general alphabets (that is, in which the fundamental units may have more than 2 states). In particular, we consider codes derived f…
A nonadditive quantum code
Eric M. Rains, R. H. Hardin, Peter W. Shor +1
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes…