Hardware-Aware Quantum Error Correction Codes for Qubit and Coupler Failures
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Solution Overview
Problem
Quantum computing systems face challenges in implementing quantum error correction codes due to hardware component failures such as broken qubits and couplers, which disrupt the commutation of observables and create topological holes, reducing code distance and increasing error susceptibility.
Innovation Solution
Generate modified quantum error correction codes that map around hardware failures by eliminating offending observables and replacing local processing with classical processing, using gauge operators to form composite stabilizers, and fuse dropouts to boundaries, preserving code invariants to ensure error detection and correction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum error correction codes are implemented on hardware with component failures, then error detection and correction capability is reduced, but the system continues to operate with degraded performance
Solution Approach 1:
The patent implements dynamic adaptation of quantum error correction codes by automatically modifying the code structure based on detected hardware failures. The system dynamically adjusts stabilizer generators and observable mappings to accommodate broken qubits and couplers, transforming a static code into a flexible, adaptive system that maintains reliability despite component failures.
Solution Approach 2:
The patent changes key parameters of the quantum error correction code including the set of stabilizer generators, the mapping of observables to hardware components, and the code distance based on the pattern of hardware failures. By modifying these parameters automatically, the system adapts the code to the actual hardware state, preserving error correction capability while accounting for broken components.
2Manufacturing precision
If manual intervention is used to design error correction codes for faulty hardware, then code precision is improved, but time consumption and complexity increase
Solution Approach 1:
The patent implements a self-service mechanism where the quantum error correction code automatically identifies hardware failures, determines the appropriate code modifications, and generates the updated stabilizer generators without human intervention. This automated self-adjustment process eliminates the need for manual code redesign while maintaining high precision in adapting to hardware faults.
Solution Approach 2:
The system employs feedback by continuously monitoring the hardware state, detecting broken qubits and couplers, and using this information to automatically adjust the error correction code. The feedback loop enables the system to respond to hardware failures in real-time, generating appropriate code modifications without requiring manual analysis or intervention.
3Reliability
If code distance is maintained in the presence of hardware failures, then error protection capability is preserved, but the number of functional qubits required increases
Solution Approach 1:
The patent extracts and removes the influence of broken qubits and couplers from the error correction code by identifying and eliminating the offending observables. By taking out the defective components from the code structure and automatically adjusting the remaining stabilizer generators, the system maintains code distance and error protection capability using only the available functional qubits, rather than requiring additional qubits to compensate for failures.
Data Source
AI summary
A method for operating a quantum error correction (QEC) code on a quantum computing system (QCS) is disclosed. The QCS includes a set of qubits and a set of couplers. An indication of a set of dropouts is received. Each dropout corresponds to a qubit that is non-functional or a coupler that is non-functional. The dropouts define a set of non-functional qubits, a set of functional qubits, a set of non-functional couplers, and a set of functional couplers. The QEC code is generated based on a set of heuristics, the set of functional qubits, and the set of functional couplers. The QEC code operates on the functional qubits. Each functional coupler provides a coupling between a pair of functional qubits. A quantum algorithm is executed that includes employing the QEC code to protect a set of logical qubits formed by the first subset of functional qubits from logical errors.