Quantum state discrimination and its applications

J Bae, LC Kwek - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
Quantum state discrimination underlies various applications in quantum information
processing tasks. It essentially describes the distinguishability of quantum systems in …

Contextual advantages and certification for maximum-confidence discrimination

K Flatt, H Lee, CRI Carceller, JB Brask, J Bae - PRX Quantum, 2022 - APS
One of the most fundamental results in quantum information theory is that no measurement
can perfectly discriminate between nonorthogonal quantum states. In this work, we …

Concentration of data encoding in parameterized quantum circuits

G Li, R Ye, X Zhao, X Wang - Advances in Neural …, 2022 - proceedings.neurips.cc
Variational quantum algorithms have been acknowledged as the leading strategy to realize
near-term quantum advantages in meaningful tasks, including machine learning and …

Structure of minimum-error quantum state discrimination

J Bae - New Journal of Physics, 2013 - iopscience.iop.org
Distinguishing different quantum states is a fundamental task having practical applications in
information processing. Despite the effort devoted so far, however, strategies for optimal …

Complete analysis for three-qubit mixed-state discrimination

D Ha, Y Kwon - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
In this article, by treating minimum error state discrimination as a complementarity problem,
we obtain the geometric optimality conditions. These can be used as the necessary and …

Maximum-confidence measurement for qubit states

H Lee, K Flatt, C Roch i Carceller, JB Brask, J Bae - Physical Review A, 2022 - APS
In quantum state discrimination, one aims to identify unknown states from a given ensemble
by performing measurements. Different strategies such as minimum-error discrimination or …

Optimal measurements for the discrimination of quantum states with a fixed rate of inconclusive results

U Herzog - Physical Review A, 2015 - APS
We study the discrimination of N mixed quantum states in an optimal measurement that
maximizes the probability of correct results while the probability of inconclusive results is …

Discriminating -qudit states using geometric structure

D Ha, Y Kwon - Physical Review A, 2014 - APS
Quantum state discrimination is a fundamental task having many applications in quantum
information processing. However up to now there has been no rigorous formulation for …

Unambiguous correct discrimination among symmetric qudit states

D Guo, WH Zhang - Quantum Information Processing, 2023 - Springer
We investigate the unambiguous correct discrimination strategy for discriminating a set of
nonorthogonal symmetric qudit states. Restricting to linearly independent and equally likely …

Optimization of quantum states for signaling across an arbitrary qubit noise channel with minimum-error detection

F Chapeau-Blondeau - IEEE Transactions on Information …, 2015 - ieeexplore.ieee.org
For discrimination between two signaling states of a qubit, the optimal detector minimizing
the probability of error is applied to the situation where detection has to be performed from a …