Fibonacci sequence and its generalizations in doped quantum spin ladders

Roy, Sudipto Singha; Dhar, Himadri Shekhar; Sen, Aditi; Sen, Ujjwal

doi:10.1016/j.jmmm.2019.01.064

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A Basic Definitions and Results1

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2023

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“…(b) Samson and Ezermann [37] study banded matrices and note in Remark 23 (of their paper) that the number of such matrices with bandwidth ≤ 1 is the Fibonacci number F v with initial conditions F 1 = 1 = F 0 . See also [19,21,38].…”

Section: A Basic Definitions and Resultsmentioning

confidence: 99%

Polynomial representation for multipartite entanglement of resonating valence bond ladders

Singh¹,

De²,

Sen³

2023

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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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Section: A Basic Definitions and Resultsmentioning

confidence: 99%