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Experimental Direct Quantum Fidelity Learning via a Data-Driven Approach.

Haiyang Qin1, Liangyu Che1, Chao Wei1

  • 1Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China; Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China and Shenzhen Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China.

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Summary
This summary is machine-generated.

Neural quantum fidelity estimation (NQFE) offers a frugal method for evaluating quantum states. This study introduces a measurement-fixed NQFE, reducing measurement costs and providing continuous fidelity estimates for improved quantum device evaluation.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum State Characterization

Background:

  • Fidelity estimation is crucial for assessing quantum states in current noisy quantum devices.
  • Existing methods like quantum state tomography can be resource-intensive.
  • Neural quantum fidelity estimation (NQFE) offers a more frugal theoretical approach.

Purpose of the Study:

  • To develop and experimentally validate a measurement-fixed neural quantum fidelity estimation (NQFE) method.
  • To reduce measurement costs compared to existing NQFE and tomography techniques.
  • To enable continuous fidelity estimation for quantum states.

Main Methods:

  • Development of a measurement-fixed NQFE utilizing a transformer model.
  • Experimental application on a nuclear spin quantum processor.
  • Preparation of ground states of local Hamiltonians and arbitrary quantum states.
  • Comparison of NQFE strategies against conventional quantum state tomography.

Main Results:

  • The developed measurement-fixed NQFE requires less measurement cost.
  • The method provides continuous fidelity estimates, unlike discrete intervals.
  • NQFE demonstrates comparable accuracy to conventional tomography for fidelity estimation.
  • Successful experimental application in a realistic quantum computing scenario.

Conclusions:

  • Measurement-fixed NQFE is a viable and efficient technique for quantum state evaluation.
  • This method offers a practical alternative to tomography for benchmarking quantum states.
  • NQFE is poised to become a key tool for characterizing quantum states in the era of fault-tolerant quantum computing.