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Quantum simulation of quantum channels in nuclear magnetic resonance

2017/04/30 by Tao Xin, Shi-Jie Wei, Julen S. Pedernales +4
Chemistry · Computer Science · Physics and Astronomy · #Advanced NMR Techniques and Applications #Condensed matter physics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum mechanics #Qubit #Spectroscopy and Quantum Chemical Studies #Spins #Unitary state #quant-ph

paper · pdf · doi:10.1103/physreva.96.062303

published as Phys. Rev. A 96, 062303 (2017) · 8 pages, 7 figures, All comments are welcome

openalex publication_date 2017/12/01 · arxiv created 2017/12/17 · arxiv updated 2017/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose and experimentally demonstrate an efficient framework for the quantum simulation of quantum channels in nuclear magnetic resonance (NMR). Our approach relies on the suitable decomposition of nonunitary operators in a linear combination of d unitary ones, which can be then experimentally implemented with the assistance of a number of ancillary qubits that grows logarithmically in d. As a proof-of-principle demonstration, we realize the quantum simulation of three quantum channels for a single-qubit: phase damping, amplitude damping, and depolarizing channels. For these paradigmatic cases, we measure key features, such as the fidelity of the initial state and the associated von Neumann entropy for a qubit evolving through these channels. Our experiments are carried out using nuclear spins in a liquid sample and NMR control techniques.

Citations