Efficient Verification of Dicke States
Ye-Chao Liu, Xiao-Dong Yu, Jiangwei Shang, Huangjun Zhu, Xiangdong Zhang · Physical Review Applied · 2019
Efficient, reliable characterization of quantum states is a basic and important step in most tasks in quantum information processing, but standard approaches, including quantum tomography, are notoriously inefficient. This research offers solutions to the problem of verifying nonstabilizer states by proposing efficient, practical protocols for verifying arbitrary $n$-qubit Dicke states. These protocols require only two distinct settings based on Pauli measurements, and thus are readily applicable with current experimental techniques, and are able to verify the robust Dicke states of hundreds of qubits.