Exponentially Enhanced Scheme for the Heralded Qudit GHZ State in Linear Optics
arXiv:2406.10830 · doi:10.1103/PhysRevLett.133.253601
Abstract
High-dimensional multipartite entanglement plays a crucial role in quantum information science. However, existing schemes for generating such entanglement become complex and costly as the dimension of quantum units increases. In this work, we overcome the limitation by proposing a significantly enhanced linear optical heralded scheme that generates the -level -partite GHZ state with single-photon sources and linear operations. Our scheme requires photons, which is the minimal required photon number, with substantially improved success probability from previous schemes. It employs linear optical logic gates compatible with any qudit encoding system and can generate generalized GHZ states with installments of beamsplitters. With efficient generations of high-dimensional resource states, our work opens avenues for further exploration in high-dimensional quantum information processing.
11 pages, comments welcome; (v2) close to the accepted version by Physical Review Letters
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- Heralded generation of entanglement with photons
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- Heralding Higher-Dimensional Bell and Greenberger-Horne-Zeilinger States Using Multiport Splitters
- Linear-optical fusion boosted by high-dimensional entanglement
- Linear Optical Schemes to Postselect High-Dimensional Dicke States