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quant-ph2025
Hilbert space-valued Gaussian processes, and quantum states
Palle E. T. Jorgensen, James Tian
We offer new results and new directions in the study of operator-valued kernels and their factorizations. Our approach provides both more explicit realizations and new results, as…
quant-ph2025
From Classical to Quantum: Polymorphisms in Non-Commutative Probability
Palle E. T. Jorgensen, James Tian
We present a parallel between commutative and non-commutative polymorphisms. Our emphasis is the applications to conditional distributions from stochastic processes. In the classic…