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Title: Non-binary unitary error bases and quantum codes

Technical Report ·
DOI:https://doi.org/10.2172/373768· OSTI ID:373768

Error operator bases for systems of any dimension are defined and natural generalizations of the bit-flip/ sign-change error basis for qubits are given. These bases allow generalizing the construction of quantum codes based on eigenspaces of Abelian groups. As a consequence, quantum codes can be constructed form linear codes over {ital Z}{sub {ital n}} for any {ital n}. The generalization of the punctured code construction leads to many codes which permit transversal (i.e. fault tolerant) implementations of certain operations compatible with the error basis.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
373768
Report Number(s):
LA-UR-96-2717; ON: DE96014435
Resource Relation:
Other Information: PBD: Jun 1996
Country of Publication:
United States
Language:
English