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This paper proposes an entanglement purification protocol for N-qubit supersinglet states, using only local operations and classical communication. It aims to raise fidelity by postselection without the high-dimensional Schur transform, which the authors argue makes it more practical for long-distance quantum clock synchronization, cryptography, and metrology. For readers, the main question is whether the scheme's efficiency and resource costs hold up outside idealized simulations.
Distillation of supersinglet states
arXiv:2509.20962v3 Announce Type: replace Abstract: We introduce an entanglement distillation (purification) protocol for supersinglet states composed of N qubits. The supersinglet state we target is a total spin zero state with zero spin variance, and has a fully entangled structure involving all qubits. In our distillation protocol, three copies of an initial spin zero state are measured in the local total spin basis such that a higher fidelity supersinglet state is generated upon postselection. The initial state can be prepared using conventional Bell state distillation methods distributed in a way to target the supersinglet symmetries. The protocol uses only local operations and classical communications, and is suitable for long-distance applications such as quantum clock synchronization and cryptography, and avoids a high dimensional Schur transform such that it can be used for tasks such as quantum metrology.
Abstract:We introduce an entanglement distillation (purification) protocol for supersinglet states composed of N qubits. The supersinglet state we target is a total spin zero state with zero spin variance, and has a fully entangled structure involving all qubits. In our distillation protocol, three copies of an initial spin zero state are measured in the local total spin basis such that a higher fidelity supersinglet state is generated upon postselection. The initial state can be prepared using conventional Bell state distillation methods distributed in a way to target the supersinglet symmetries. The protocol uses only local operations and classical communications, and is suitable for long-distance applications such as quantum clock synchronization and cryptography, and avoids a high dimensional Schur transform such that it can be used for tasks such as quantum metrology.
Quantum Physics (quant-ph); Applied Physics (physics.app-ph)
arXiv:2509.20962 [quant-ph]
(or arXiv:2509.20962v3 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2509.20962 Focus to learn more arXiv-issued DOI via DataCite
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