Chirality, magic, and quantum correlations in multipartite quantum states, by Shreya Vardhan, Bowen Shi, Isaac H. Kim, Yijian Zou
Summarize this article with:
SciPost Physics Home Authoring Refereeing Submit a manuscript About Chirality, magic, and quantum correlations in multipartite quantum states Shreya Vardhan, Bowen Shi, Isaac H. Kim, Yijian Zou SciPost Phys. 20, 066 (2026) · published 2 March 2026 doi: 10.21468/SciPostPhys.20.3.066 pdf BiBTeX RIS Submissions/Reports Abstract Chirality is a fundamental property of many topological phases, yet it lacks a general information-theoretic formulation. In this work, we introduce a notion of chirality for generic quantum states, defined by the impossibility of transforming a state into its complex conjugate under local unitary operations. We propose several quantitative measures of chirality, including a faithful metric called the chiral log-distance, and a family of nested commutators of modular Hamiltonians. We show that chirality, although not a resource in the traditional sense, is intrinsically linked to two major classes of quantum resources: magic and quantum correlations. In particular, we demonstrate that (i) qubit stabilizer states are always non-chiral, (ii) the chiral log-distance provides a lower bound for several magic monotones, and (iii) a nested commutator-based chirality measure is lower bounded by a variant of interferometric power. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.3.066TI - Chirality, magic, and quantum correlations in multipartite quantum statesPY - 2026/03/02UR - https://scipost.org/SciPostPhys.20.3.066JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 3SP - 066A1 - Vardhan, ShreyaAU - Shi, BowenAU - Kim, Isaac H.AU - Zou, YijianAB - Chirality is a fundamental property of many topological phases, yet it lacks a general information-theoretic formulation. In this work, we introduce a notion of chirality for generic quantum states, defined by the impossibility of transforming a state into its complex conjugate under local unitary operations. We propose several quantitative measures of chirality, including a faithful metric called the chiral log-distance, and a family of nested commutators of modular Hamiltonians. We show that chirality, although not a resource in the traditional sense, is intrinsically linked to two major classes of quantum resources: magic and quantum correlations. In particular, we demonstrate that (i) qubit stabilizer states are always non-chiral, (ii) the chiral log-distance provides a lower bound for several magic monotones, and (iii) a nested commutator-based chirality measure is lower bounded by a variant of interferometric power.ER - × @Article{10.21468/SciPostPhys.20.3.066, title={{Chirality, magic, and quantum correlations in multipartite quantum states}}, author={Shreya Vardhan and Bowen Shi and Isaac H. Kim and Yijian Zou}, journal={SciPost Phys.}, volume={20}, pages={066}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.3.066}, url={https://scipost.org/10.21468/SciPostPhys.20.3.066},} Ontology / Topics See full Ontology or Topics database. Entanglement Topological order Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Shreya Vardhan, 2 3 4 Bowen Shi, 3 Isaac H. Kim, 5 Yijian Zou 1 Stanford University [SU] 2 University of Illinois at Urbana Champaign [UIUC] 3 University of California, Davis [UCD] 4 University of California, San Diego [UCSD] 5 Institut Périmètre de physique théorique / Perimeter Institute [PI] Funders for the research work leading to this publication Google Innovation, Science and Economic Development Canada Institut Périmètre de physique théorique / Perimeter Institute [PI] Ministry of Colleges and Universities National Science Foundation [NSF] Conseil de Recherches en Sciences Naturelles et en Génie / Natural Sciences and Engineering Research Council [NSERC / CRSNG] Simons Foundation University of Illinois at Urbana-Champaign (through Organization: University of Illinois at Urbana Champaign [UIUC])