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Entanglement Theory Quantum Correlations Quantum Foundations

A Class of Multipartite Entangled States Based on State Transitions

arXiv
Authors: Jehn-Ruey Jiang

Year

2026

Paper ID

67819

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

We introduce Transition states (T states), denoted by ket{Tkn}, 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.

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  • We introduce Transition states (T states), denoted by ketTk^n, as a class of multipartite entangled states characterized by a fixed number of state transitions between adjacent...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2606.05579 [2] arXiv https://arxiv.org/abs/2606.05579 [3] Publisher https://arxiv.org/abs/2606.05579

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