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    Algorithmic cooling in liquid-state nuclear magnetic resonance

    Yosi Atia1, Yuval Elias2, Tal Mor3, and Yossi Weinstein3

    • 1School of Computer Science and Engineering, The Hebrew University, Jerusalem 91904, Israel
    • 2Département IRO, Université de Montréal, Montréal, Québec, Canada H3C 3J7
    • 3Computer Science Department, Technion, Haifa 320008, Israel

    Phys. Rev. A 93, 012325 – Published 14 January, 2016

    DOI: https://doi.org/10.1103/PhysRevA.93.012325

    Abstract

    Algorithmic cooling is a method that employs thermalization to increase qubit purification level; namely, it reduces the qubit system's entropy. We utilized gradient ascent pulse engineering, an optimal control algorithm, to implement algorithmic cooling in liquid-state nuclear magnetic resonance. Various cooling algorithms were applied onto the three qubits of C213-trichloroethylene, cooling the system beyond Shannon's entropy bound in several different ways. In particular, in one experiment a carbon qubit was cooled by a factor of 4.61. This work is a step towards potentially integrating tools of NMR quantum computing into in vivo magnetic-resonance spectroscopy.

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