2024/12/16 by David Collins, Collins, David, Taylor Larrechea +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.2412.12085
openalex publication_date 2024/12/16 · openalex created_date 2024/12/19 · openalex updated_date 2026/07/28
We consider protocols for estimating the parameter in a single-parameter unital qubit channel, assuming that the available initial states are highly mixed with very low purity. We compare two protocols, each invoking the channel once, via their quantum Fisher informations. One uses n qubits prepared in a particular correlated input state and subsequently queries the channel on one qubit. The other uses a single qubit. We extend the results of Collins [1] by allowing for additional noisy evolution on the spectator qubits in the n-qubit protocol. We provide simple algebraic expressions that will determine when the n-qubit protocol is superior. We provide a technique that can alleviate certain types of noise. We show that for certain types of noisy evolution the n-qubit protocol will be inferior but for others it will be superior.