18514579. Surface Codes with Densely Packed Gauge Operators simplified abstract (GOOGLE LLC)

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Surface Codes with Densely Packed Gauge Operators

Organization Name

GOOGLE LLC

Inventor(s)

Nathan Cody Jones of Los Angeles CA (US)

Surface Codes with Densely Packed Gauge Operators - A simplified explanation of the abstract

This abstract first appeared for US patent application 18514579 titled 'Surface Codes with Densely Packed Gauge Operators

The disclosure pertains to implementing a quantum error correction code using a quantum computer with functional and non-functional qubits, gauge operators, and composite stabilizers.

  • A set of gauge operators is created within the quantum computer.
  • Gauge operator combinations are determined based on a subset of functional qubits and a global sequence of each gauge operator.
  • Each gauge operator combination has a composite operator that commutes with the composite operator of every other combination.
  • Composite stabilizers are generated, with each corresponding to a separate gauge operator combination.
  • The Quantum Error Correction (QEC) code is executed through the Quantum Computer System (QCS) using the set of composite stabilizers.

Potential Applications: - Quantum computing - Data encryption - Information security

Problems Solved: - Error correction in quantum computing - Enhancing the reliability of quantum systems

Benefits: - Improved accuracy in quantum computations - Enhanced data protection - Increased efficiency in quantum algorithms

Commercial Applications: Title: Quantum Error Correction Technology for Enhanced Data Security This technology can be utilized in industries such as finance, healthcare, and telecommunications for secure data processing and communication.

Prior Art: Readers can explore prior research on quantum error correction codes, gauge operators, and composite stabilizers in the field of quantum computing.

Frequently Updated Research: Stay updated on the latest advancements in quantum error correction techniques and applications to optimize quantum computing processes.

Questions about Quantum Error Correction Technology: 1. How does quantum error correction differ from classical error correction methods? Quantum error correction involves protecting quantum information from errors that can occur due to quantum phenomena, while classical error correction focuses on correcting errors in classical information processing.

2. What are the key challenges in implementing quantum error correction on a large scale? One of the main challenges is maintaining the coherence of qubits over extended periods to effectively apply error correction techniques.


Original Abstract Submitted

The disclosure is directed to implementing a quantum error correction code via a quantum computer that includes a set of functional qubits and a set of non-functional qubits. A set of gauge operators is formed. A set of gauge operator combinations are determined from the set of gauge operators. Determining the set of gauge operator combinations may be based on a subset of functional qubits and a global sequence of each gauge operator. Each gauge operator combination has a composite operator that commutes with the composite operator of each other gauge operator combination. A set of composite stabilizers may be generated. Each composite stabilizer corresponds to a separate gauge operator combination. The QEC code may be executed, via the QCS, based on the set of composite stabilizers.