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Round Complexity in the Local Transformations of Quantum and Classical States
Eric Chitambar, Min-Hsiu Hsieh
A natural operational paradigm for distributed quantum and classical information processing involves local operations coordinated by multiple rounds of public communication. In thi…
On Quantum Tensor Product Codes
Jihao Fan, Yonghui Li, Min-Hsiu Hsieh +1
We present a general framework for the construction of quantum tensor product codes (QTPC). In a classical tensor product code (TPC), its parity check matrix is con- structed via t…
On the Concavity of Auxiliary Function in Classical-Quantum Channels
Hao-Chung Cheng, Min-Hsiu Hsieh
The auxiliary function of a classical channel appears in two fundamental quantities that upper and lower bound the error probability, respectively. A crucial property of the auxili…
Characterisations of Matrix and Operator-Valued -Entropies, and Operator Efron-Stein Inequalities
Hao-Chung Cheng, Min-Hsiu Hsieh
We derive new characterisations of the matrix -entropy functionals introduced in [Electron.~J.~Probab., 19(20): 1--30, 2014]. Notably, all known equivalent characterisati…