Surface Code Gauge Packing for Faster Quantum Error Detection
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Solution Overview
Problem
Existing quantum computing systems face inefficiencies in error detection due to the presence of non-functional qubits, requiring longer measurement cycles and inefficient interleaving of X-type and Z-type gauge operators, which prolongs the detection of errors.
Innovation Solution
Implementing a quantum error correction code that combines gauge operators to form composite stabilizers, allowing for simultaneous measurement of X-type and Z-type stabilizers in each cycle, thereby adapting to non-functional qubits and enhancing error detection efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If gauge operators are densely packed and measured in each cycle, then error detection speed is improved, but measurement complexity and resource requirements increase
Solution Approach 1:
The patent segments gauge operators into different types (X-type and Z-type) and organizes them into structured measurement cycles. By dividing the dense set of gauge operators into manageable groups that can be measured systematically, the system achieves high-speed error detection while controlling measurement complexity through organized segmentation of the operator set.
Solution Approach 2:
The patent implements periodic measurement cycles where gauge operators are measured in a repeating structured pattern. Each cycle measures specific gauge operators, and this periodic action allows the system to densely pack measurements in time while maintaining manageable complexity through the regular, predictable structure of the measurement cycles.
2Reliability
If non-functional qubits are present in the system, then hardware reliability is reduced, but the system must adapt to maintain error detection capability
Solution Approach 1:
The patent implements dynamic adaptation by modifying the measurement pattern and gauge operator selection based on the actual functional status of qubits in the system. The measurement cycles are dynamically adjusted to skip or modify operations involving non-functional qubits, allowing the system to maintain error detection capability despite hardware failures while adapting to the specific configuration of functional qubits available.
3Ease of operation
If X-type and Z-type gauge operators are interleaved in traditional manner, then measurement sequence is simplified, but error detection time is prolonged
Solution Approach 1:
The patent applies preliminary action by pre-planning and pre-organizing the measurement sequence of gauge operators before execution. The measurement cycles are designed in advance with optimized ordering of X-type and Z-type gauge operators, allowing the system to execute measurements efficiently without prolonged interleaving while maintaining operational simplicity through the pre-established measurement pattern.
Solution Approach 2:
The patent achieves continuous error detection by designing measurement cycles that continuously measure gauge operators without unnecessary gaps or prolonged interleaving. The structured cycles ensure that both X-type and Z-type gauge operators are measured in an overlapping, continuous manner, eliminating idle time and maintaining continuous useful action for error detection while keeping the sequence manageable.
Data Source
AI summary
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.