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The study uses quantum state tomography on a dissipative superconducting transmon to show that postselecting on no-jump trajectories creates an effective nonlinear dynamic in a two-level subspace, while the full three-level system stays linear. This is fundamental quantum-control research rather than an application, so its near-term relevance is as a tool for probing and engineering nonlinear quantum dynamics. Readers should note that the result concerns postselected, effective dynamics, not a general failure of quantum mechanics.
Quantum state tomography reveals a qubit’s broken linearity

Researchers used quantum state tomography to track the evolution of a dissipative superconducting qubit and observed violations of linearity. They revealed a breakdown in linearity for the two-level subspace while demonstrating that linearity is preserved in the full three-level system.
Quantum state tomography revealed a breakdown of the superposition principle within a superconducting qubit, challenging a core tenet of quantum theory, according to research from Washington University and the University of California, Berkeley. Orion Lee, Qian Cao and colleagues theoretically characterized and experimentally investigated this deviation from linearity in a dissipative superconducting transmon circuit, finding that “linearity is a foundational property of quantum dynamics.” Their work demonstrates that no-jump postselection generates an anti-Hermitian nonlinearity, causing a measurable…
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