@inproceedings {748,
	title = {Stabilizer R{\'e}nyi entropy of the Affleck-Kennedy-Lieb-Tasaki ground state},
	booktitle = {Proceedings of the 44th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2026},
	month = {17-20 Jun 2026},
	pages = {SPP-2026-PC-22},
	address = {Los Ba{\~n}os},
	abstract = {Nonstabilizerness, or quantum magic, is an important quantum computing resource that characterizes the complexity of state preparation on quantum hardware. In this work, we use a matrix product state (MPS) framework and a replica-based approach to quantify the nonstabilizerness of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model ground state as measured by the stabilizer R{\'e}nyi entropy (SRE). This AKLT state is a spin-1 chain so we utilize the Heisenberg{\textendash}Weyl operator framework to extend the concept of Pauli qubit strings to qutrits. Through the use of operator-twisted transfer matrices, we develop a replicated transfer operator with a dominant eigenvalue that establishes the SRE in the limit of long chains. Our findings indicate that the SRE is extensive and grows linearly with the system size, with an estimated value of 0.68 per site, reflecting a finite nonstabilizerness and verifying that the AKLT state possesses a nonzero quantum magic per spin even in the thermodynamic limit. These findings provide insight into the relationship between entanglement and nonstabilizerness as separate yet coexisting quantum resources, demonstrating that extensive quantum magic can emerge in systems that follow an area law for entanglement.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2026-PC-22},
	author = {Angelica A. Tuppal and Francis N. C. Paraan}
}
@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}
}
