@inproceedings {709,
	title = {Exact evaluation of the stabilizer R{\'e}nyi entropy of a Greenberger{\textendash}Horne{\textendash}Zeilinger state},
	booktitle = {Proceedings of the 43rd Samahang Pisika ng Pilipinas Physics Conference},
	year = {2025},
	month = {25{\textendash}28 Jun 2025},
	pages = {SPP-2025-PA-19},
	address = {Quezon City},
	abstract = {The stabilizer R{\'e}nyi entropy (SRE) is a key metric for nonstabilizerness, or quantum magic, that measures the extent to which a quantum state deviates from the stabilizer framework. In this paper we present a calculation of the vanishing SRE of a Greenberger{\textendash}Horne{\textendash}Zeilinger (GHZ) stabilizer state from its matrix product state representation. We focus here on a demonstrative and exact proof that applies for all chain lengths. We find that the only Pauli strings with non-zero expectation values are binary strings that consist of either (a) identity and Pauli-Z operators, or (b) Pauli-X and Pauli-Y operators, that have an even number of Pauli-Z and Pauli-Y operators. These non-zero expectation values have unit magnitude, and an exact count of these strings yields an SRE that is identically zero. This result provides a practical example of an SRE calculation for a matrix product state with pedagogical value because of its tractability.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2025-PA-19},
	author = {William Klien B. Torero and Angelica A. Tuppal and Francis N. C. Paraan}
}
