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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.17 No.13&14 November 2017 |
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Small Majorana fermion codes
(pp1191-1205)
Mathew B. Hastings
doi:
https://doi.org/10.26421/QIC17.13-14-7
Abstracts:
We consider Majorana fermion stabilizer codes with small
number of modes and distance. We give an upper bound on the number of
logical qubits for distance 4 codes, and we construct Majorana fermion
codes similar to the classical Hamming code that saturate this bound. We
perform numerical studies and find other distance 4 and 6 codes that we
conjecture have the largest possible number of logical qubits for the
given number of physical Majorana modes. Some of these codes have more
logical qubits than any Majorana fermion code derived from a qubit
stabilizer code.
Key words:
Majorana fermion codes |
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