20240046137. REDUCED DENSITY MATRIX ESTIMATION FOR PARTICLE-NUMBER-CONSERVING FERMION SYSTEMS USING CLASSICAL SHADOWS simplified abstract (Microsoft Technology Licensing, LLC)

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REDUCED DENSITY MATRIX ESTIMATION FOR PARTICLE-NUMBER-CONSERVING FERMION SYSTEMS USING CLASSICAL SHADOWS

Organization Name

Microsoft Technology Licensing, LLC

Inventor(s)

Guang Hao Low of Redmond WA (US)

REDUCED DENSITY MATRIX ESTIMATION FOR PARTICLE-NUMBER-CONSERVING FERMION SYSTEMS USING CLASSICAL SHADOWS - A simplified explanation of the abstract

This abstract first appeared for US patent application 20240046137 titled 'REDUCED DENSITY MATRIX ESTIMATION FOR PARTICLE-NUMBER-CONSERVING FERMION SYSTEMS USING CLASSICAL SHADOWS

Simplified Explanation

The patent application describes a computing system that includes a classical computing device and a quantum computing device. The classical computing device has a processor that generates a random unitary matrix called a Haar-random unitary matrix. The processor also computes a single-particle-basis fermion rotation based on the Haar-random unitary matrix and outputs it to the quantum computing device. The quantum computing device receives a specification of a fermion wavefunction and the single-particle-basis fermion rotation. It applies the rotation to the wavefunction and measures the rotated wavefunction to obtain a classical shadow measurement result. The classical computing device's processor receives the measurement result and estimates a k-reduced density matrix element of the fermion wavefunction based on the measurement result and the Haar-random unitary matrix. The processor then outputs the k-reduced density matrix element.

  • The computing system includes a classical computing device and a quantum computing device.
  • The classical computing device's processor generates a Haar-random unitary matrix.
  • The processor computes a single-particle-basis fermion rotation based on the Haar-random unitary matrix.
  • The quantum computing device applies the single-particle-basis fermion rotation to a fermion wavefunction.
  • The quantum computing device measures the rotated wavefunction to obtain a classical shadow measurement result.
  • The classical computing device's processor estimates a k-reduced density matrix element of the fermion wavefunction based on the measurement result and the Haar-random unitary matrix.
  • The processor outputs the k-reduced density matrix element.

Potential applications of this technology:

  • Quantum computing simulations and experiments.
  • Quantum chemistry calculations.
  • Quantum information processing.

Problems solved by this technology:

  • Efficiently generating random unitary matrices.
  • Performing fermion rotations in quantum computing.
  • Estimating k-reduced density matrix elements.

Benefits of this technology:

  • Improved accuracy and efficiency in quantum computing simulations.
  • Enhanced capabilities in quantum chemistry calculations.
  • Advancements in quantum information processing.


Original Abstract Submitted

a computing system including a classical computing device, including a processor that generates a haar-random unitary matrix. the processor further computes a single-particle-basis fermion rotation based at least in part on the haar-random unitary matrix and outputs the single-particle-basis fermion rotation to a quantum computing device. the quantum computing device receives a specification of a fermion wavefunction and further receives the single-particle-basis fermion rotation. the quantum computing device further applies the single-particle-basis fermion rotation to the fermion wavefunction. the quantum computing device further measures the rotated fermion wavefunction to obtain a classical shadow measurement result. the processor of the classical computing device further receives the classical shadow measurement result. the processor further estimates a k-reduced density matrix (k-rdm) element of a k-rdm of the fermion wavefunction based at least in part on the classical shadow measurement result and the haar-random unitary matrix. the processor further outputs the k-rdm element.

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