Multi-partite entanglement monotones, by Abhijit Gadde, Shraiyance Jain, Harshal Kulkarni
Summarize this article with:
SciPost Physics Home Authoring Refereeing Submit a manuscript About Multi-partite entanglement monotones Abhijit Gadde, Shraiyance Jain, Harshal Kulkarni SciPost Phys. 20, 086 (2026) · published 18 March 2026 doi: 10.21468/SciPostPhys.20.3.086 pdf BiBTeX RIS Submissions/Reports Abstract If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success? This probability is bounded by quantifying entanglement in both the states. In this paper, we construct a family of local unitary invariants of multipartite states that are monotonic under local operations and classical communication on average. These monotones are constructed from local unitary invariant polynomials of the state and its conjugate, and hence are easy to compute for pure states. Using these measures we bound the success probability of transforming a given state into another state using local quantum operations and classical communication. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.3.086TI - Multi-partite entanglement monotonesPY - 2026/03/18UR - https://scipost.org/SciPostPhys.20.3.086JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 3SP - 086A1 - Gadde, AbhijitAU - Jain, ShraiyanceAU - Kulkarni, HarshalAB - If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success? This probability is bounded by quantifying entanglement in both the states. In this paper, we construct a family of local unitary invariants of multipartite states that are monotonic under local operations and classical communication on average. These monotones are constructed from local unitary invariant polynomials of the state and its conjugate, and hence are easy to compute for pure states. Using these measures we bound the success probability of transforming a given state into another state using local quantum operations and classical communication.ER - × @Article{10.21468/SciPostPhys.20.3.086, title={{Multi-partite entanglement monotones}}, author={Abhijit Gadde and Shraiyance Jain and Harshal Kulkarni}, journal={SciPost Phys.}, volume={20}, pages={086}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.3.086}, url={https://scipost.org/10.21468/SciPostPhys.20.3.086},} Ontology / Topics See full Ontology or Topics database. Entanglement Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Abhijit Gadde, 1 Shraiyance Jain, 1 2 Harshal Kulkarni 1 टाटा मूलभूत अनुसंधान संस्थान / Tata Institute of Fundamental Research [TIFR] 2 भारतीय विज्ञान शिक्षा और अनुसंधान संस्थान, कोलकाता / Indian Institute of Science Education and Research Kolkata [IISER] Funders for the research work leading to this publication Department of Atomic Energy, Government of India Department of Science and Technology, Ministry of Science and Technology (through Organization: विज्ञान एवं प्रौद्योगिकी विभाग / Department of Science and Technology [DST]) Science and Engineering Research Board [SERB]