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quant-ph2024★ 7 cited
Quantum algorithms for matrix geometric means
Nana Liu, Qisheng Wang, Mark M. Wilde +1
Matrix geometric means between two positive definite matrices can be defined from distinct perspectives - as solutions to certain nonlinear systems of equations, as points along ge…
quant-ph2024★ 7 cited
An invitation to the sample complexity of quantum hypothesis testing
Hao-Chung Cheng, Nilanjana Datta, Nana Liu +3
Quantum hypothesis testing (QHT) has been traditionally studied from the information-theoretic perspective, wherein one is interested in the optimal decay rate of error probabiliti…