Polynomial representation for multipartite entanglement of resonating valence bond ladders

• URL: http://arxiv.org/abs/2302.09383v1
• Date: Sat, 18 Feb 2023 16:54:13 GMT
• Title: Polynomial representation for multipartite entanglement of resonating valence bond ladders
• Authors: Ajit Iqbal Singh, Aditi Sen De, and Ujjwal Sen
• Abstract summary: A resonating valence bond (RVB) state of a lattice of quantum systems is a potential resource for quantum computing and communicating devices. We develop a representation of multipartite quantum states to prove that RVB states on ladder lattices possess genuine multipartite entanglement. The multipartite entanglement of doped RVB states and RVB states that are superposed with varying dimer for singlet coverings of ladder lattices can both be detected by using this technique.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A resonating valence bond (RVB) state of a lattice of quantum systems is a potential resource for quantum computing and communicating devices. It is a superposition of singlet, i.e., dimer, coverings - often restricted to nearest-neighbour ones - of the lattice. We develop a polynomial representation of multipartite quantum states to prove that RVB states on ladder lattices possess genuine multipartite entanglement. The multipartite entanglement of doped RVB states and RVB states that are superposed with varying weights for singlet coverings of ladder lattices can both be detected by using this technique.

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