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|Author(s):||Stephen Bullock; Dianne M. O'Leary;|
|Title:||Local Bounds on Effective Hamiltonians for Stabilizer Codes|
|Published:||January 22, 2009|
|Abstract:||This paper introduces various notion of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamiltonian with the code in its groundspace, while a Hamiltonian holding the code in its groundspace might be called effective if its locality is less than that of a natural choice of generators (or any choice).} This paper establishes some conditions under which effective Hamiltonians for stabilizer codes do not exist. An application to topological orders on a surface bounds k by the minimum valence of the cell structure and its dual.|
|Citation:||Quantum Information & Computation|
|Pages:||pp. 487 - 499|
|Keywords:||adiabatic quantum computing,Calderbank-Shor-Steane codes,stabilizer codes|
|PDF version:||Click here to retrieve PDF version of paper (280KB)|