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Updated: May 2, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Absolutely maximally entangled pure states of multipartite quantum systems
Grzegorz Rajchel-Mieldzioć1, Rafał Bistroń2,3, Albert Rico Andres4
1BEIT sp. z o.o., ul. Mogilska 43, 31-545 Kraków, Poland.
Abstract:
Absolutely maximally entangled (AME) pure states of a system composed ofNparties are distinguished by the property that for any splitting at least one partial trace is maximally mixed. Due to maximal possible correlations between any two selected subsystems these states have numerous applications in various fields of quantum information processing including multi-user teleportation, quantum error correction and secret sharing. We present an updated survey of various techniques to generate such strongly entangled states, including those going beyond the standard construction of graph and stabilizer states. Our contribution includes, in particular, analysis of the degree of entanglement of reduced states obtained by partial trace of AME projectors, states obtained by a symmetric superposition of GHZ states, an orthogonal frequency square representation of the 'golden' AME state and an updated summary of the number of local unitary equivalence classes.
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