A Class of Multipartite Entangled States Based on State Transitions

Abstract:We introduce Transition states (T states), denoted by $\ket{T_k^n}$, as a class of multipartite entangled states characterized by a fixed number of state transitions between adjacent qubits. These states form equal-amplitude superpositions over all states with a specified transition count. Unlike Bell states based on two-qubit correlations, GHZ states characterized by global correlations among all qubits, and W and Dicke states based on fixed numbers of qubit excitations, T states are defined by transition counts along an ordered sequence of qubits. We prove that T states are unitarily equivalent to Dicke states through a chain of CX (controlled-X) operations, thereby establishing a direct correspondence between transition-based and excitation-based representations of multipartite entanglement.

Quantum Physics (quant-ph); Computational Complexity (cs.CC)

arXiv:2606.05579 [quant-ph]

(or arXiv:2606.05579v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.05579 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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