2024/06/21 by Taihei Kimoto, Takayuki Miyadera, Kimoto, Taihei +1
Computer Science · Engineering · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Wireless Communication Security Techniques
paper · pdf · doi:10.48550/arxiv.2406.15179
openalex publication_date 2024/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
One of the fundamental tasks in quantum information processing is to measure the quantum channels. Similar to measurements of quantum states, measurements of quantum channels are inherently stochastic, that is, quantum theory provides a formula to calculate the probability of obtaining an outcome. The upper bound on each probability associated with the measurement outcome of the quantum channels is a fundamental and important quantity. In this study, we derived the upper bounds of the probability in a channel measurement for specific classes of quantum channels. We also present two applications for the upper bounds. The first is the notion of convertibility considered by Alberti and Uhlmann and the second is the detection problem of a quantum channel. These applications demonstrate the significance of the obtained upper bounds.