20240020565. QUANTUM CIRCUIT FOR ESTIMATING MATRIX SPECTRAL SUMS simplified abstract (International Business Machines Corporation)

QUANTUM CIRCUIT FOR ESTIMATING MATRIX SPECTRAL SUMS

Organization Name

International Business Machines Corporation

Inventor(s)

Shashanka Ubaru of Ossining NY (US)

Ismail Yunus Akhalwaya of Emmarentia (ZA)

Kenneth Lee Clarkson of Madison NJ (US)

Mark S. Squillante of Greenwich CT (US)

Vasileios Kalantzis of White Plains NY (US)

Lior Horesh of North Salem NY (US)

QUANTUM CIRCUIT FOR ESTIMATING MATRIX SPECTRAL SUMS - A simplified explanation of the abstract

This abstract first appeared for US patent application 20240020565 titled 'QUANTUM CIRCUIT FOR ESTIMATING MATRIX SPECTRAL SUMS

Simplified Explanation

The patent application describes systems and methods for operating a quantum system. The quantum system includes quantum hardware with multiple qubits. The controller of the quantum system generates a command signal, which is received by the interface of the quantum system. The interface controls the quantum hardware based on the command signal and uses a random state vector represented by the qubits to determine multiple moments of a matrix. The controller outputs these moments to a computing device, which estimates the trace of a matrix function based on selected moments. The matrix function can be any function of the matrix.

• The patent application describes a system for operating a quantum system with multiple qubits.
• The controller generates a command signal to control the quantum hardware.
• The interface of the quantum system controls the quantum hardware based on the command signal.
• The interface determines multiple moments of a matrix using a random state vector represented by the qubits.
• The controller outputs these moments to a computing device.
• The computing device estimates the trace of a matrix function based on selected moments.

Potential Applications:

• Quantum computing: This technology can be used in quantum computing systems to control and operate quantum hardware.
• Matrix calculations: The ability to estimate the trace of a matrix function can be useful in various fields that involve matrix calculations, such as physics, chemistry, and finance.

Problems Solved:

• Quantum system control: The technology provides a method for controlling and operating a quantum system with multiple qubits.
• Matrix function estimation: The technology allows for the estimation of the trace of a matrix function, which can be challenging in traditional computing systems.

Benefits:

• Improved quantum system operation: The technology provides a system and method for efficiently operating a quantum system with multiple qubits.
• Enhanced matrix function estimation: The ability to estimate the trace of a matrix function can improve calculations and simulations in various fields.
• Potential for advanced applications: The technology can enable advancements in quantum computing and matrix calculations, leading to breakthroughs in scientific research and industry applications.

Original Abstract Submitted

systems and methods for operating a quantum system are described. a controller of a quantum system can generate a command signal. the quantum system can include quantum hardware having a plurality of qubits. an interface of the quantum system can control the quantum hardware based on the command signal received from the controller to determine a plurality of moments of a matrix using a random state vector represented by the plurality of qubits. the controller can be further configured to output the plurality of moments of the matrix to a computing device to estimate a trace of a matrix function based on one or more selected moments among the plurality of moments. the matrix function can be a function of the matrix.