Finite set of invariants to characterize local Clifford equivalence of stabilizer states

Details Finite set of invariants to characterize local Clifford equivalence of stabilizer states Finite set of invariants to characterize local Clifford equivalence of stabilizer states

2004-10-21

arxiv.org/abs/quant-ph/0410165v2

Phys. Rev. A 72, 014307 (2005)

Physics

Quantum Physics

4 pages, replaced with published version

Scientific paper

10.1103/PhysRevA.72.014307

The classification of stabilizer states under local Clifford (LC) equivalence is of particular importance in quantum error-correction and measurement-based quantum computation. Two stabilizer states are called LC equivalent if there exists a local Clifford operation which maps the first state to the second. We present a finite set of invariants which completely characterizes the LC equivalence class of any stabilizer state. Our invariants have simple descriptions within the binary framework in which stabilizer states are usually described.

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