2 citations · 5 across the 40 of their papers we have counts for
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Multipartite parity bounds and total correlation
James Tian
This paper studies multipartite observables formed from sums of local self-adjoint contractions on tensor product Hilbert spaces. The square of such a sum has a parity structure: a…
Graph Structured Operator Inequalities and Tsirelson-Type Bounds
James Tian
We establish operator norm bounds for bipartite tensor sums of self-adjoint contractions. The inequalities generalize the analytic structure underlying the Tsirelson and CHSH bound…
Stability of Maximum-Entropy Inference in Finite Dimensions
James Tian
We study maximum-entropy inference for finite-dimensional quantum states under linear moment constraints. Given expectation values of finitely many observables, the feasible set of…
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…
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…