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Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
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Variational Quantum Process Tomography of Non-Unitaries.

Shichuan Xue1, Yizhi Wang1, Yong Liu1

  • 1Institute for Quantum Information & State Key Laboratory of High Performance Computing, College of Computer Science and Technology, National University of Defense Technology, Changsha 410073, China.

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|January 21, 2023
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Summary
This summary is machine-generated.

This study introduces a variational quantum process tomography method using quantum machine learning. It efficiently characterizes complex quantum processes with fewer measurements and shallow circuits, achieving high fidelity.

Keywords:
non-unitary quantum processquantum process tomographyvariational quantum algorithm

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Machine Learning

Background:

  • Quantum process tomography (QPT) is crucial for characterizing quantum systems.
  • Standard QPT faces challenges with scalability due to the curse of dimensionality.
  • Non-unitary quantum processes are more representative of real-world scenarios.

Purpose of the Study:

  • To develop a more efficient quantum process tomography method.
  • To address the limitations of standard QPT for non-unitary operators.
  • To leverage supervised quantum machine learning for process characterization.

Main Methods:

  • Implemented a variational quantum process tomography approach.
  • Utilized a supervised quantum machine learning framework.
  • Employed shallow-depth parametric quantum circuits to approximate quantum processes.

Main Results:

  • Successfully reconstructed non-unitary quantum mappings up to eight qubits with >99% fidelity.
  • Achieved high fidelity using shallow-depth parametric quantum circuits (d≤8).
  • Required at least two orders of magnitude fewer input states compared to standard QPT.

Conclusions:

  • Variational quantum process tomography offers a scalable solution for characterizing quantum processes.
  • The method shows significant potential for efficiently analyzing non-unitary quantum operators.
  • This approach advances benchmarking and certification tools in quantum information science.