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Quantum Randomness and Nondeterminism
E. Knill
Does the notion of a quantum randomized or nondeterministic algorithm make sense, and if so, does quantum randomness or nondeterminism add power? Although reasonable quantum random…
Group Representations, Error Bases and Quantum Codes
E. Knill
This report continues the discussion of unitary error bases and quantum codes begun in "Non-binary Unitary Error Bases and Quantum Codes". Nice error bases are characterized in ter…
Concatenated Quantum Codes
Emanuel Knill, Raymond Laflamme
One of the main problems for the future of practical quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the a…
A Theory of Quantum Error-Correcting Codes
Emanuel Knill, Raymond Laflamme
Quantum Error Correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a gener…