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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Universal compilation for quantum state tomography.

Vu Tuan Hai1,2, Le Bin Ho3,4,5

  • 1University of Information Technology, Ho Chi Minh City, 700000, Vietnam.

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Summary
This summary is machine-generated.

We developed a universal compilation algorithm for efficient quantum state tomography in shallow quantum circuits. This method achieves high fidelity, comparable to existing techniques, and is suitable for near-term quantum computers.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science

Background:

  • Universal compilation trains quantum circuits for specific tasks.
  • It has applications in circuit compression, benchmarking, and error mitigation.
  • Quantum state tomography (QST) is crucial for characterizing quantum systems.

Purpose of the Study:

  • To propose a universal compilation algorithm for QST in low-depth quantum circuits.
  • To evaluate the efficiency and fidelity of this algorithm.
  • To explore its applicability in near-term quantum computing.

Main Methods:

  • Utilized a universal compilation algorithm.
  • Employed the Fubini-Study distance as a trainable cost function.
  • Applied gradient-based optimization techniques.
  • Evaluated various trainable unitary topologies and optimizers.

Main Results:

  • Achieved high efficiency and fidelity in QST using universal compilation.
  • Demonstrated the critical role of circuit depth in achieving robust fidelity.
  • Results are comparable to established methods like shadow tomography.
  • The algorithm is effective for low-depth quantum circuits.

Conclusions:

  • Universal compilation is capable of maximizing efficiency in quantum state tomography.
  • The proposed algorithm shows promise for quantum metrology, sensing, and general quantum computing tasks on near-term devices.