18153786. RANDOMIZED BENCHMARKING BY EXPLOITING THE STRUCTURE OF THE CLIFFORD GROUP simplified abstract (International Business Machines Corporation)

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RANDOMIZED BENCHMARKING BY EXPLOITING THE STRUCTURE OF THE CLIFFORD GROUP

Organization Name

International Business Machines Corporation

Inventor(s)

Dmitri Maslov of New Canaan CT (US)

Sergey Bravyi of Yorktown Heights NY (US)

Jay Michael Gambetta of Yorktown Heights NY (US)

RANDOMIZED BENCHMARKING BY EXPLOITING THE STRUCTURE OF THE CLIFFORD GROUP - A simplified explanation of the abstract

This abstract first appeared for US patent application 18153786 titled 'RANDOMIZED BENCHMARKING BY EXPLOITING THE STRUCTURE OF THE CLIFFORD GROUP

Simplified Explanation

The abstract describes a method for generating a randomized benchmarking protocol for measuring noise in a quantum mechanical processor. Here are the key points:

  • The method involves using randomly generated Hadamard gates and applying them to a set of qubits.
  • Hadamard-free Clifford circuits are then generated by randomly generating a phase (P) gate and a linear Boolean invertible matrix of conditional NOT (CNOT) gate.
  • These P and CNOT gates are combined to form the Hadamard-free Clifford circuits.
  • The Hadamard-free Clifford circuits are then combined with the corresponding Hadamard gates to create a sequence of alternating Hadamard-free Clifford-Hadamard pairs circuits, forming the randomized benchmarking protocol.
  • The randomized benchmarking protocol is used to measure noise in a quantum mechanical processor.

Potential applications of this technology:

  • Quantum computing research and development
  • Testing and characterization of quantum mechanical processors
  • Error correction and optimization in quantum computing systems

Problems solved by this technology:

  • Provides a method for generating a randomized benchmarking protocol to measure noise in a quantum mechanical processor.
  • Offers a systematic approach to evaluate the performance and reliability of quantum computing systems.

Benefits of this technology:

  • Enables accurate measurement and analysis of noise in quantum mechanical processors.
  • Helps identify and address sources of error and noise in quantum computing systems.
  • Facilitates the development and improvement of quantum computing technologies.


Original Abstract Submitted

A method of generating a randomized benchmarking protocol includes providing a randomly generated plurality of Hadamard gates; applying the Hadamard gates to a plurality of qubits; and generating randomly a plurality of Hadamard-free Clifford circuits. Each of the plurality of Hadamard-free Clifford circuits is generated by at least randomly generating a uniformly distributed phase (P) gate, and randomly generating a uniformly distributed linear Boolean invertible matrix of conditional NOT (CNOT) gate, and combining the P and CNOT gates to form each of the plurality of Hadamard-free Clifford circuits. The method also includes combining each of the plurality of Hadamard-free Clifford circuits with corresponding each of the plurality of Hadamard gates to form a sequence of alternating Hadamard-free Clifford-Hadamard pairs circuit to form the randomized benchmarking protocol; and measuring noise in a quantum mechanical processor using the randomized benchmarking protocol.

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