Quantum Syndrome Extraction With Fewer Gates for Entangled Memory
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Solution Overview
Problem
Quantum memory systems face high rates of loss of fidelity due to decoherence and processing errors in quantum-gate devices, which existing technologies struggle to effectively mitigate.
Innovation Solution
A memory system comprising a qubit array configured to store entangled qubit states using a quantum stabilizer code, with a quantum-state-refresh module that detects errors by performing redundant measurements of syndrome values based on a block error-correction code, allowing for reliable error detection with fewer quantum gates than full-length measurements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If full-length syndrome measurement is performed using quantum gates, then complete error detection capability is achieved, but the number of quantum gates and measurement operations increases significantly
Solution Approach 1:
The patent extracts only the essential syndrome information needed for error detection by measuring a subset of stabilizer generators rather than all of them. This selective extraction of critical measurement data reduces the number of quantum gates required while maintaining sufficient error detection capability through the use of block error-correction codes that can tolerate some unmeasured syndromes.
Solution Approach 2:
The patent applies partial action by performing syndrome measurements on only a portion of the stabilizer generators rather than all of them. By measuring fewer syndromes and using erasure values for the remaining positions, the system achieves acceptable error detection performance with reduced quantum gate operations, trading complete measurement for practical efficiency.
2Reliability
If redundant syndrome measurements are performed, then error detection reliability improves, but measurement time and processing overhead increase
Solution Approach 1:
The patent performs redundant measurements only on a subset of stabilizer generators rather than all of them. This partial redundancy approach provides sufficient error detection reliability through block error-correction coding while reducing the total measurement time and processing overhead compared to measuring all stabilizers redundantly.
Solution Approach 2:
The patent changes the measurement parameters by selecting which stabilizer generators to measure based on the block error-correction code structure. By strategically choosing which syndromes to measure and using erasure values for others, the system optimizes the balance between error detection reliability and measurement efficiency.
3Loss of information
If all syndrome values are measured, then complete information for error correction is obtained, but the number of measurement operations exceeds available quantum resources
Solution Approach 1:
The patent extracts only the most critical syndrome information needed for effective error correction by measuring a selected subset of stabilizer generators. This extraction approach obtains sufficient information to correct errors while keeping the number of measurement operations within available quantum resources, using block error-correction codes to tolerate missing syndrome data.
Solution Approach 2:
The patent measures only a partial set of syndromes rather than all of them, achieving acceptable information completeness for error correction. By combining partial syndrome measurements with erasure values and block error-correction decoding, the system maintains adequate error correction capability while improving measurement throughput within resource constraints.
Data Source
AI summary
A quantum-state-refresh module of a memory system is configured to detect an error in an entangled qubit state stored therein by performing a redundant measurement of syndrome values corresponding to a quantum stabilizer code, with the redundant measurement being based on a block error-correction code. The quantum-state-refresh module includes a plurality of measurement sub-modules, each configured to measure a respective syndrome value or a respective parity value corresponding to the entangled qubit state. The total number of the measurement sub-modules is smaller than the codeword length of the block error-correction code, and the initial approximation of the punctured syndrome values is replaced in the decoding process by erasure values. With the block error-correction code appropriately constructed for the use of erasure values, the quantum-state-refresh module is advantageously capable of providing reliable error detection with fewer quantum gates than that used for the full-length measurement of the codeword.