2004/11/30 by Maarten Van den Nest, M. Van den Nest, Jeroen Dehaene +3 · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Class (philosophy) #Combinatorics #Computer science #Discrete mathematics #Engineering #Equivalence (formal languages) #Law #Mathematics #Pure mathematics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Stabilizer (aeronautics) #Subclass #Unitary state #quant-ph
paper · pdf · doi:10.1103/physreva.71.062323
published as Phys. Rev. A 71, 062323 (2005) · 8 pages, replaced with published version
openalex publication_date 2005/06/01 · arxiv created 2005/11/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the relation between local unitary (LU) equivalence and local Clifford (LC) equivalence of stabilizer states. We introduce a large subclass of stabilizer states, such that every two LU equivalent states in this class are necessarily LC equivalent. Together with earlier results, this shows that LC, LU, and stochastic local operation with classical communication equivalence are the same notions for this class of stabilizer states. Moreover, recognizing whether two given stabilizer states in the present subclass are locally equivalent only requires a polynomial number of operations in the number of qubits.