6 papers
Heron-Wasserstein majorization inequalities for spectral and Kubo-Ando geometric means
Trung Dung Vuong, Anh Thi Nguyen, Trung Hoa Dinh
We prove sharp Heron-type majorization inequalities for two quadratic matrix expressions associated with the spectral and Kubo-Ando geometric means. For the spectral geometric mean…
On the Failure of the Upper Bound in the Refined BMV Conjecture and a Pinching Correction
Trung Hoa Dinh
We analyze why the refined Bessis--Moussa--Villani conjecture fails. The refined conjecture proposed that the normalized trace average over all words with prescribed numbers of let…
Spectral geometric mean and trace characterizations
Airat Bikchentaev, Trung Hoa Dinh, Anh Vu Le +1
We use nearly parallel pure states to characterize positive linear functionals on as positive multiples of the trace if and only if $Ï(A \natural B) \leq \sqrt…
A Weighted Spectral Quantum Fidelity
Cong Trinh Le, The Khoi Vu, Minh Toan Ho +1
We introduce and study a one-parameter family of fidelity-type quantities based on the weighted spectral geometric mean, which we call the \emph{weighted spectral fidelity} \( \mat…
Quantum Algorithms for Computing Maximal Quantum -divergence and Kubo-Ando means
Trung Hoa Dinh, Nhat A. Nghiem
The development of quantum computation has resulted in many quantum algorithms for a wide array of tasks. Recently, there is a growing interest in using quantum computing technique…
A new estimation of the quantum Chernoff bound
Mohsen Kian, Trung Hoa Dinh, Mohammad Sal Moslehian +1
Relating to finding possible upper bounds for the probability of error for discriminating between two quantum states, it is well-known that \begin{align*} \mathrm{tr}(A+B) - \mathr…