Entropy measures quantify the amount of information and correlation present in a quantum system. In practice, when the quantum state is unknown and only copies thereof are …
There is a folkloric belief that a depth-$\Theta (m) $ quantum circuit is needed to estimate the trace of the product of $ m $ density matrices (ie, a multivariate trace), a subroutine crucial to …
A Gilyén, A Poremba - arXiv preprint arXiv:2203.15993, 2022 - arxiv.org
Fidelity is a fundamental measure for the closeness of two quantum states, which is important both from a theoretical and a practical point of view. Yet, in general, it is difficult to …
We propose a series of quantum algorithms for computing a wide range of quantum entropies and distances, including the von Neumann entropy, quantum Rényi entropy, trace …
Learning tasks play an increasingly prominent role in quantum information and computation. They range from fundamental problems such as state discrimination and metrology over the …
The performance of a quantum information processing protocol is ultimately judged by distinguishability measures that quantify how distinguishable the actual result of the protocol …
Q Wang - IEEE Transactions on Information Theory, 2024 - ieeexplore.ieee.org
Measuring the distinguishability between quantum states is a basic problem in quantum information theory. In this paper, we develop optimal quantum algorithms that estimate both …
Q Wang, Z Zhang - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
In quantum information, trace distance is a basic metric of distinguishability between quantum states. However, there is no known efficient approach to estimate the value of trace …
Quantum Computing has attracted much research attention because of its potential to achieve fundamental speed and efficiency improvements in various domains. Among …