17934322. Tomography of unitary matrix using quantum computing device simplified abstract (Microsoft Technology Licensing, LLC)

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Tomography of unitary matrix using quantum computing device

Organization Name

Microsoft Technology Licensing, LLC

Inventor(s)

Jeongwan Haah of Bellevue WA (US)

Robin Ashok Kothari of Seattle WA (US)

Ryan William O'donnell of Pittsburgh PA (US)

Ewin Nicolas Tang of Seattle WA (US)

Tomography of unitary matrix using quantum computing device - A simplified explanation of the abstract

This abstract first appeared for US patent application 17934322 titled 'Tomography of unitary matrix using quantum computing device

Simplified Explanation

A computing system comprising a quantum computing device and a classical computing device works together to compute an estimated unitary matrix over multiple iterations. Each iteration involves computing various parameters, transmitting them to the quantum computing device, computing process tomography results, and updating the estimate based on the computed distance measure.

  • Quantum computing device and classical computing device work together to compute an estimated unitary matrix.
  • Multiple iterations involve computing parameters, transmitting them, computing process tomography results, and updating the estimate.
  • The system outputs the estimated unitary matrix as the updated current-iteration estimate from the final iteration.

Potential Applications

This technology could be applied in quantum computing, quantum information processing, and quantum error correction.

Problems Solved

This technology helps in efficiently computing estimated unitary matrices in quantum computing systems.

Benefits

The system allows for accurate estimation of unitary matrices, which is crucial in various quantum computing applications.

Potential Commercial Applications

Optimizing quantum computing processes, improving quantum information processing, and enhancing quantum error correction techniques could be potential commercial applications of this technology.

Possible Prior Art

Prior art in quantum computing systems involving the estimation of unitary matrices may exist, but specific examples are not provided here.

Unanswered Questions

1. How does the system handle errors or inaccuracies in the process tomography results? 2. Are there any limitations to the size or complexity of the unitary matrices that can be estimated using this system?


Original Abstract Submitted

A computing system including a quantum computing device and a classical computing device. The computing system computes an estimated unitary matrix over a plurality of iterations that each include, at a processor, computing a current-iteration exponent, a current-iteration error parameter, and a conjugate transpose of a current-iteration estimate of the unitary matrix. Each iteration further includes transmitting the current-iteration exponent, the current-iteration error parameter, and the conjugate transpose to the quantum computing device. At the quantum computing device, each iteration further includes computing a process tomography result and outputting the process tomography result to the classical computing device. At the processor, each iteration further includes computing a distance measure between the current-iteration estimate and the process tomography result, and, when the distance measure is below a predefined constant, updating the current-iteration estimate. The computing system outputs, as the estimated unitary matrix, the updated current-iteration estimate computed in a final iteration.