Document Type : Research

Authors

• Jamileh Seyedyazdi ¹
• Seyed Mohammad Hosseiny, ²
• Abolfazl Pourhashemi-Khabisi ²
• Milad Norouzi ²

¹ Physics Department Faculty of Science Vali-e-Asr University of Rafsanjan

² Department of Physics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

Abstract

Accurate estimation of the initial phase in quantum systems is crucial for extracting encoded information and understanding initial state preperation. Therefore, developing precise methods for phase estimation is of greate importance in quantum information processing. In this paper, the problem of phase estimation via a teleported qubit, realized by a system consisting of two dissimilar qubits, is investigated. The dissimilarity of the qubits gives rise to quantum oscillations. Using the Milburn method, which incorporates intrinsic decoherence into the system, and considering the initial state of the teleportation channel that includes a phase difference in state preparation, we derive the evolved state of the single-qubit teleportation channel. Employing the Hilbert-Schmidt speed (HSS) as a figure of merit for phase estimation, we analyze a comparison of the qualitative behaviors of the estimation of the channel’s initial phase and the phase of the input state at the teleportation destination via the teleported qubit. Our findings show that, although the qualitative behaviors of the estimation of the channel’s initial phase and the phase of the teleported input state are not completely identical, they exhibit a similar oscillation period, and both can reveal non-Markovian effects and quantum memory under specific conditions. This result can be highly beneficial for improving the performance of systems used in quantum sensing and quantum communication.

Keywords

• quantum teleportation
• Hilbert-Schmidt speed
• non-Markovian effects
• quantum phase estimation