| 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 |
| Volume: |
9 |
| Pages: |
pp. 487 - 499 |
| Keywords: |
adiabatic quantum computing;Calderbank-Shor-Steane codes;stabilizer codes |
| Research Areas: |
Math |
| PDF version: |
 Click here to retrieve PDF version of paper (274KB) |
