2021/02/23 by Doha A. Rizk, Ahmed Younes, Rizk, Doha A. +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2102.11945
openalex publication_date 2021/02/23 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
The quantum state discrimination problem is to distinguish between\nnon-orthogonal quantum states. This problem has many applications in quantum\ninformation theory, quantum communication and quantum cryptography. In this\npaper a quantum algorithm using weak measurement and partial negation will be\nproposed to solve the quantum state discrimination problem using a single copy\nof an unknown qubit. The usage of weak measurement makes it possible to\nreconstruct the qubit after measurement since the superposition will not be\ndestroyed due to measurement. The proposed algorithm will be able to determine,\nwith high probability of success, the state of the unknown qubit and whether it\nis encoded in the Hadamard or the computational basis by counting the outcome\nof the successive measurements on an auxiliary qubit.\n