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

By M Van den Nest, J Dehaene and B De Moor


Stabilizer states are multipartite quantum states that play a significant role in quantum information theory and quantum computing. Two stabilizer states $|\psi>$, $|\psi'>$ are called equivalent under the local Clifford group if there exists a local Clifford (LC) operation $U$ such that $U|\psi> = |\psi'>$. We present a finite set of %${\cal O}(\leq 4^{n^2})$ 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

Topics: General Theoretical Physics
Year: 2004
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Provided by: CERN Document Server
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