Stabilizer disentangling of conformal field theories
Martina Frau, Poetri Sonya Tarabunga, Mario Collura, Emanuele Tirrito, Marcello Dalmonte
SciPost Phys. 18, 165 (2025) · published 22 May 2025
- doi: 10.21468/SciPostPhys.18.5.165
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Abstract
Understanding how entanglement can be reduced through simple operations is crucial for both classical and quantum algorithms. We investigate the entanglement properties of lattice models hosting conformal field theories cooled via local Clifford operations, a procedure we refer to as stabilizer disentangling. We uncover two distinct regimes: a constant gain regime, where disentangling is volume-independent, and a log-gain regime, where disentanglement increases with volume, characterized by a reduced effective central charge. In both cases, disentangling efficiency correlates with the target state magic, with larger magic leading to more effective cooling. The dichotomy between the two cases stems from mutual stabilizer Rényi entropy, which influences the entanglement cooling process. We provide an analytical understanding of such effect in the context of cluster Ising models, that feature disentangling global Clifford operations. Our findings indicate that matrix product states possess subclasses based on the relationship between entanglement and magic, and clarifying the potential of new classes of variational states embedding Clifford dynamics within matrix product states.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Martina Frau,
- 2 3 4 Poetri Sonya Tarabunga,
- 1 5 Mario Collura,
- 3 6 Emanuele Tirrito,
- 3 Marcello Dalmonte
- 1 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 2 Technische Universität München / Technical University of Munich [TUM]
- 3 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 4 Munich Center for Quantum Science and Technology [MCQST]
- 5 INFN Sezione di Trieste / INFN Trieste
- 6 Università degli Studi di Napoli Federico II / University of Naples Federico II
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- Ministerio de Ciencia e Innovación (through Organization: Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities)
- Ministero dell'Università e della Ricerca
- Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])