Creating and concentrating quantum resource states in noisy environments using a quantum neural network.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

Quantum information processing tasks require exotic quantum states as a prerequisite. They are usually prepared with many different methods tailored to the specific resource state. Here we provide a versatile unified state preparation scheme based on a driven quantum network composed of randomly-coupled fermionic nodes. The output of such a system is then superposed with the help of linear mixing where weights and phases are trained in order to obtain desired output quantum states. We explicitly show that our method is robust and can be utilized to create almost perfect maximally entangled, NOON, W, cluster, and discorded states. Furthermore, the treatment includes energy decay in the system as well as dephasing and depolarization. Under these noisy conditions we show that the target states are achieved with high fidelity by tuning controllable parameters and providing sufficient strength to the driving of the quantum network. Finally, in very noisy systems, where noise is comparable to the driving strength, we show how to concentrate entanglement by mixing more states in a larger network.

Authors

  • Tanjung Krisnanda
    School of Physical and Mathematical Sciences, Nanyang Technological University, 637371 Singapore, Singapore. Electronic address: tanjung.krisnanda@ntu.edu.sg.
  • Sanjib Ghosh
    School of Physical and Mathematical Sciences, Nanyang Technological University, 637371 Singapore, Singapore.
  • Tomasz Paterek
    Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland.
  • Timothy C H Liew
    School of Physical and Mathematical Sciences, Nanyang Technological University, 637371 Singapore, Singapore; MajuLab, International Joint Research Unit UMI 3654, CNRS, Université Côte d'Azur, Sorbonne Université, National University of Singapore, Nanyang Technological University, Singapore. Electronic address: TimothyLiew@ntu.edu.sg.