Physics – Quantum Physics
Scientific paper
2004-04-20
Phys. Rev A 70, 032323 (2004)
Physics
Quantum Physics
10 pages, 1 figure. Minor changes. Accepted in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.70.032323
In [Phys. Rev. A 58, 1833 (1998)] a family of polynomial invariants which separate the orbits of multi-qubit density operators $\rho$ under the action of the local unitary group was presented. We consider this family of invariants for the class of those $\rho$ which are the projection operators describing stabilizer codes and give a complete translation of these invariants into the binary framework in which stabilizer codes are usually described. Such an investigation of local invariants of quantum codes is of natural importance in quantum coding theory, since locally equivalent codes have the same error-correcting capabilities and local invariants are powerful tools to explore their structure. Moreover, the present result is relevant in the context of multipartite entanglement and the development of the measurement-based model of quantum computation known as the one-way quantum computer.
Dehaene Jeroen
den Nest Maarten Van
Moor Bart de
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