20240014829. DECODING ERRORS USING QUANTUM SUBSPACE EXPANSION simplified abstract (Google LLC)

DECODING ERRORS USING QUANTUM SUBSPACE EXPANSION

Organization Name

Google LLC

Inventor(s)

Jarrod Ryan Mcclean of Marina Del Rey CA (US)

Ryan Babbush of Venice CA (US)

Zhang Jiang of El Sgundo CA (US)

DECODING ERRORS USING QUANTUM SUBSPACE EXPANSION - A simplified explanation of the abstract

This abstract first appeared for US patent application 20240014829 titled 'DECODING ERRORS USING QUANTUM SUBSPACE EXPANSION

Simplified Explanation

The patent application describes methods, systems, and apparatus for correcting errors in quantum computations. Here is a simplified explanation of the abstract:

• The method involves selecting a quantum error correcting code for the quantum computation, which is defined by multiple stabilizer generators.
• A set of symmetry operators is determined by selecting a subset of the stabilizer generators, calculating a sum for each selected stabilizer generator, and multiplying the sums together to form a summation of terms, where each term represents a symmetry operator.
• A projective correction of a physical observable is measured over the output quantum state of the computation using the determined set of symmetry operators. The physical observable corresponds to the result of the quantum computation.
• The corrected result of the quantum computation is determined using the measured projective correction of the physical observable.

Potential applications of this technology:

• Quantum error correction is crucial for the development and implementation of reliable quantum computers.
• This technology can improve the accuracy and reliability of quantum computations, enabling more complex and precise calculations.
• It can be applied in various fields that require high computational power, such as cryptography, optimization problems, and simulation of quantum systems.

Problems solved by this technology:

• Quantum computations are prone to errors due to the fragile nature of quantum states. This technology provides a method to correct these errors and obtain accurate results.
• It addresses the challenge of maintaining the integrity of quantum information during computations, which is essential for the practical use of quantum computers.

Benefits of this technology:

• Enables the development of more reliable and accurate quantum computers.
• Reduces the impact of errors on quantum computations, leading to improved performance and increased computational power.
• Facilitates the practical implementation of quantum algorithms and applications in various fields.

Original Abstract Submitted

methods, systems and apparatus for correcting a result of a quantum computation. in one aspect, a method includes selecting a quantum error correcting code for the quantum computation, wherein the quantum error correcting code is defined by multiple stabilizer generators; determining a set of symmetry operators, comprising: selecting a subset of the stabilizer generators, determining, for each selected stabilizer generator, a sum between an identity operator and the stabilizer generator, and multiplying the determined sums together to form a summation of terms, wherein each term in the summation is equal to a respective symmetry operator; measuring a projective correction of a physical observable over an output quantum state of the quantum computation using the determined set of symmetry operators, wherein the physical observable corresponds to the result of the quantum computation; and determining a corrected result of the quantum computation using the measured projective correction of the physical observable.