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This research establishes a direct unitary mapping between transition-based and excitation-based representations of multipartite entanglement using controlled-X operations. By proving that Transition states are unitarily equivalent to Dicke states, the study simplifies the characterization of complex quantum systems and reveals an intrinsic structural connection previously unrecognized in quantum information theory. This advancement offers a more efficient framework for quantifying entanglement, potentially streamlining the analysis and control of large-scale quantum processors.
Entangled Qubits Linked by Transitions Offer New State Control
Can entanglement be described by counting state changes between qubits, rather than simply the number of excited qubits? Transition states, a newly defined class of entangled states, demonstrate that it can, establishing a direct link between how we quantify transitions and excitations. This reveals an intrinsic structural connection previously unrecognised in multipartite entanglement.
Jehn-Ruey Jiang, National Central University, and colleagues explore a new class of multipartite entangled states, termed Transition states, and characterised by the number of state transitions between adjacent qubits. These states, denoted as T states, represent equal-amplitude superpositions across all states possessing a specified transition count. The work sharply expands understanding of multipartite entanglement by introducing a transition-based definition, differing from established methods reliant on qubit correlations or excitations. The team prove T states are unitarily equivalent to Dicke states via controlled-X operations, establishing a key link between transition and excitation-based representations of entanglement. A novel equivalence between Transition states and Dicke states is now established via controlled-X operations, unlocking…
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