Introduces T-Hamiltonian and T-symplectic tensors and derives a constructive T-Williamson normal form for tensors whose Fourier-domain slices are real symmetric positive-definite matrices.
arXiv preprint arXiv:2410.09976 , year=
5 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 5representative citing papers
Derives tight Holevo CRB for realistic linear sensors showing hierarchy with standard bounds and proposes readout improving LIGO rates by 25%.
A continuous-mode quantum optics theory unifies standard quantum limits for optical frequency division and dual-comb spectroscopy and outlines routes to engineered quantum enhancement.
A squeezed-vacuum interferometer with nonlinear phase estimation achieves Heisenberg scaling in the lossless limit, sub-SQL sensitivity under noise, and the first experimental quantum-optimal Bayesian signal estimation in a balanced interferometer.
Derives a generalized Schawlow-Townes linewidth limit for feedback oscillators that can be saturated by bad-cavity devices or surpassed via quantum engineering such as atomic spin squeezing.
citing papers explorer
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Hamiltonian and Symplectic Tensors in the T-product Algebra
Introduces T-Hamiltonian and T-symplectic tensors and derives a constructive T-Williamson normal form for tensors whose Fourier-domain slices are real symmetric positive-definite matrices.
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Gaussian Quantum Metrology with Realistic Linear Sensors
Derives tight Holevo CRB for realistic linear sensors showing hierarchy with standard bounds and proposes readout improving LIGO rates by 25%.
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Continuum-field quantum optics of frequency comb metrology
A continuous-mode quantum optics theory unifies standard quantum limits for optical frequency division and dual-comb spectroscopy and outlines routes to engineered quantum enhancement.
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Noise-Resilient Quantum Metrology
A squeezed-vacuum interferometer with nonlinear phase estimation achieves Heisenberg scaling in the lossless limit, sub-SQL sensitivity under noise, and the first experimental quantum-optimal Bayesian signal estimation in a balanced interferometer.
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A Generalized Schawlow-Townes Limit
Derives a generalized Schawlow-Townes linewidth limit for feedback oscillators that can be saturated by bad-cavity devices or surpassed via quantum engineering such as atomic spin squeezing.