article published Tim Aßbrock author Jan Sperling author 751270000-0002-5844-3205 Laura Ares author 623 department 15 department 170 department 706 department <jats:p> We develop a framework for identifying nonclassical speedups in systems with polarization, likewise spin degrees of freedom. By confining the dynamics to the manifold of angular momentum coherent states, which act as the classical reference in this case, we compute the speed limit that bounds the rate of change of the state achievable without generating quantum coherence. A comparison with the unrestricted quantum speed limit enables the quantitative identification of speedups arising from polarization nonclassicality. We apply this framework to the cross-Kerr interaction, demonstrating a persistent speedup scaling as <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mrow> <a:mi mathvariant="script">O</a:mi> <a:mo>(</a:mo> <a:msqrt> <a:mi>N</a:mi> </a:msqrt> <a:mo>)</a:mo> </a:mrow> </a:math> with the photon number <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"> <c:mi>N</c:mi> </c:math> , with a parity effect in favor of even photon numbers. The results establish polarization nonclassicality as a genuine dynamical resource, linking quantum coherence to quantum-enhanced evolution speeds in nonlinear photonic systems. </jats:p> American Physical Society (APS)2026 eng 2643-156410.1103/mflc-2mzq 83 Aßbrock, Tim, et al. “Quantum Speedup from Nonclassical Polarization.” <i>Physical Review Research</i>, vol. 8, no. 3, L032018, American Physical Society (APS), 2026, doi:<a href="https://doi.org/10.1103/mflc-2mzq">10.1103/mflc-2mzq</a>. @article{Aßbrock_Sperling_Ares_2026, title={Quantum speedup from nonclassical polarization}, volume={8}, DOI={<a href="https://doi.org/10.1103/mflc-2mzq">10.1103/mflc-2mzq</a>}, number={3L032018}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Aßbrock, Tim and Sperling, Jan and Ares, Laura}, year={2026} } Aßbrock T, Sperling J, Ares L. Quantum speedup from nonclassical polarization. <i>Physical Review Research</i>. 2026;8(3). doi:<a href="https://doi.org/10.1103/mflc-2mzq">10.1103/mflc-2mzq</a> T. Aßbrock, J. Sperling, and L. Ares, “Quantum speedup from nonclassical polarization,” <i>Physical Review Research</i>, vol. 8, no. 3, Art. no. L032018, 2026, doi: <a href="https://doi.org/10.1103/mflc-2mzq">10.1103/mflc-2mzq</a>. Aßbrock, T., Sperling, J., &#38; Ares, L. (2026). Quantum speedup from nonclassical polarization. <i>Physical Review Research</i>, <i>8</i>(3), Article L032018. <a href="https://doi.org/10.1103/mflc-2mzq">https://doi.org/10.1103/mflc-2mzq</a> Aßbrock, Tim, Jan Sperling, and Laura Ares. “Quantum Speedup from Nonclassical Polarization.” <i>Physical Review Research</i> 8, no. 3 (2026). <a href="https://doi.org/10.1103/mflc-2mzq">https://doi.org/10.1103/mflc-2mzq</a>. T. Aßbrock, J. Sperling, L. Ares, Physical Review Research 8 (2026). 666402026-08-03T16:26:49Z2026-08-03T16:28:48Z