Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States

• URL: http://arxiv.org/abs/2504.05394v1
• Date: Mon, 07 Apr 2025 18:01:02 GMT
• Title: Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States
• Authors: Berta Casas, Grzegorz Rajchel-Mieldzioć, Suhail Ahmad Rather, Marcin Płodzień, Wojciech Bruzda, Alba Cervera-Lierta, Karol Życzkowski,
• Abstract summary: We present explicit quantum circuits to generate exemplary non-stabilizer AME states of four subsystems with four, six, and eight levels each.<n>These states can be used to test performance of current term quantum processors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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