Quantum Syndrome Measurement With Parity Checks for Error Correction
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Solution Overview
Problem
Existing error-correction schemes for quantum redundancy coded states are prone to errors due to unreliable hardware devices and fail to accurately determine the syndrome of physically processed states, leading to incorrect identification and correction of errors.
Innovation Solution
A device and method that measure the syndrome of quantum redundancy coded states by passing physical objects through a sequence of measurement devices, each configured to measure either bits or parity check bits, with an electronic controller determining the error-corrected value using measured bits and parity check bits, and applying error correction based on linear block coding.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If existing error-correction schemes are used to measure the syndrome of quantum redundancy coded states, then the measurement process can be performed, but the determination is unreliable and prone to errors due to hardware device limitations
Solution Approach 1:
The patent implements feedback by measuring parity check bits of the syndrome and using these measurements to correct errors in the syndrome determination. The electronic controller receives both syndrome bits and parity check bits, then uses the parity information to identify and correct measurement errors, creating a closed-loop error correction system that improves reliability without requiring additional redundant qubits.
Solution Approach 2:
The patent creates redundant copies of syndrome information by measuring parity check bits, which are essentially copies of combinations of syndrome bits. These parity copies allow the system to verify and correct the original syndrome measurements, enabling error correction of the syndrome determination process itself without adding physical redundancy to the quantum state.
2Reliability
If more hardware devices are added to improve measurement reliability, then syndrome determination accuracy improves, but hardware complexity and requirements increase
Solution Approach 1:
The patent makes the existing syndrome measurement hardware multi-functional by using it to measure both syndrome bits and parity check bits. The same measurement devices that measure syndrome bits are configured to also measure parity check bits, eliminating the need for separate dedicated parity measurement hardware and reducing overall system complexity while maintaining error correction capabilities.
Solution Approach 2:
The patent changes the measurement parameters by measuring different combinations of qubits to obtain parity check bits instead of requiring additional physical measurements. By changing what is measured (from only syndrome bits to syndrome bits plus parity check bits) rather than adding more measurement apparatus, the system achieves improved reliability without increased hardware complexity.
Data Source
AI summary
An apparatus includes a device having n input ports and n output ports. The n input ports are configured to receive n corresponding physical objects of a physically processed, quantum redundancy coded state. The n output ports are configured to output the n physical objects in the physically processed, quantum redundancy coded state. The device is configured to measure bits of a syndrome of the physically processed, quantum redundancy coded state by passing the n physical objects through the device. The device is configured to measure a parity check bit for the measured bits of the syndrome by the passing the n physical objects through the device.