Quantum circuits for high-dimensional absolutely maximally entangled states
Abstract Absolutely maximally entangled (AME) states of multipartite quantum systems exhibit maximal entanglement across all possible bipartitions. These states lead to teleportation protocols that surpass standard teleportation schemes, determine quantum error correction codes and can be used to test performance of current term quantum processors. Several AME states can be constructed from graph states using minimal quantum resources. However, there exist other constructions that depart from the stabilizer formalism. In this work, we present explicit quantum circuits to generate exemplary non-stabilizer AME states of four subsystems with four, six, and eight levels each and analyze their capabilities to perform quantum information tasks.
Authors
- Grzegorz Rajchel-Mieldzioć (ORCID: https://orcid.org/0000-0003-2652-9482)
- Alba Cervera-Lierta (ORCID: https://orcid.org/0000-0002-8835-2910)
- Marcin Płodzień (ORCID: https://orcid.org/0000-0002-0835-1644)
- Wojciech Bruzda (ORCID: https://orcid.org/0000-0001-9743-7927)
- Karol Życzkowski (ORCID: https://orcid.org/0000-0002-0653-3639)
- Suhail Ahmad Rather (ORCID: https://orcid.org/0009-0001-9451-5093)
- Berta Casas
Institutions
- Institute of Photonic Sciences (ES)
- Barcelona Supercomputing Center (ES)
- Centre Tecnologic de Telecomunicacions de Catalunya (ES)
- Max Planck Institute for the Physics of Complex Systems (DE)
- Universitat Politècnica de Catalunya (ES)
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Quantum Science and Technology
- Published
- 2026-02-17
- DOI
- https://doi.org/10.1088/2058-9565/ae46d6
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00