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Bell Sampling from Quantum Circuits.

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  • 1<a href="https://ror.org/02048n894">Joint Center for Quantum Information and Computer Science</a>, NIST/University of Maryland, College Park, Maryland 20742, USA.

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This summary is machine-generated.

Bell sampling, a universal quantum computation model, offers a new method for benchmarking quantum computer performance and demonstrating capabilities. This approach provides a "circuit shadow" for efficient information extraction and error diagnosis, aiding the path to fault tolerance.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Computation Verification

Background:

  • Benchmarking quantum computer performance is a central challenge.
  • Demonstrating computational capabilities is crucial for advancing quantum technologies.
  • Developing methods for verification is essential for achieving fault-tolerant quantum computation.

Purpose of the Study:

  • Introduce Bell sampling as a universal model for quantum computation.
  • Utilize Bell sampling for benchmarking and demonstrating quantum computational capabilities.
  • Establish Bell sampling as a stepping stone toward fault-tolerant quantum computers.

Main Methods:

  • Employing Bell sampling by measuring two copies of a quantum circuit-prepared state in the transversal Bell basis.
  • Analyzing Bell samples to extract information about the quantum circuit and diagnose errors.
  • Developing new efficient protocols for extracting circuit properties.

Main Results:

  • Bell samples are classically intractable to produce, indicating quantum advantage.
  • Bell samples act as a "circuit shadow," enabling efficient information extraction and error diagnosis.
  • New protocols include estimators for state fidelity and Pauli expectation values, a circuit depth test, and a T gate count estimator.

Conclusions:

  • Bell sampling serves as a universal model for quantum computation, verification, and benchmarking.
  • The "circuit shadow" property of Bell samples facilitates efficient diagnostics and information extraction.
  • This work provides new tools for characterizing quantum circuits and advancing toward fault tolerance.