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Additive Extensions of a Quantum Channel
Graeme Smith, John A. Smolin
We study extensions of a quantum channel whose one-way capacities are described by a single-letter formula. This provides a simple technique for generating powerful upper bounds on…
Codeword Stabilized Quantum Codes
Andrew Cross, Graeme Smith, John A. Smolin +1
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 pa…
A simple family of nonadditive quantum codes
John A. Smolin, Graeme Smith, Stephanie Wehner
Most known quantum codes are additive, meaning the codespace can be described as the simultaneous eigenspace of an abelian subgroup of the Pauli group. While in some scenarios such…