Quantum Error Correction Scheme Selection via Qubit Assignment
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Solution Overview
Problem
Quantum error correction in quantum computing is challenging due to the no-cloning theorem, entanglement properties, and decoherence, which complicates error correction without measurement and can lead to exponential error propagation, necessitating efficient error reduction schemes.
Innovation Solution
A method involving a logical representation of a quantum circuit with multiple physical representations, each with a different error correction scheme, utilizing a search algorithm to optimize the assignment of physical qubits to logical qubits based on a quality score correlated to error rates, and synthesizing the circuit to reduce error rates through error correction operations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If multiple physical qubits are used to represent each logical qubit for error correction, then the error rate of logical qubits is reduced, but the resource consumption and device complexity increase
Solution Approach 1:
The patent segments the quantum circuit into multiple alternative physical representations, each with different error correction schemes. The system divides the problem of error correction into multiple candidate solutions, allowing selection of the most efficient representation without requiring all physical qubits to be used simultaneously for error correction of every logical qubit.
Solution Approach 2:
The patent implements dynamic selection among multiple alternative physical representations of the quantum circuit. The system can switch between different error correction schemes based on quality scores, allowing the configuration of physical qubit allocation to adapt and optimize for reduced error rates without permanently increasing device complexity.
2Reliability
If a search algorithm is used to optimize the assignment of physical qubits to logical qubits, then the error rate is reduced, but the computational time and complexity of the process increase
Solution Approach 1:
The patent performs preliminary optimization by generating multiple alternative physical representations with different error correction schemes before actual quantum circuit execution. The search algorithm evaluates quality scores of these pre-computed representations, allowing the system to select an optimized configuration in advance, thereby reducing the error rate without incurring computational overhead during the actual quantum computation.
3Stability of the object's composition
If error correction operations are applied to groups of logical qubits using multiple physical qubits, then the stability of quantum programs is enhanced, but the number of required qubits increases
Solution Approach 1:
The patent creates multiple alternative physical representations where the same set of physical qubits can serve different error correction functions for different logical qubits across different representations. This multi-functionality allows the system to achieve enhanced stability through error correction without requiring a separate dedicated set of physical qubits for each logical qubit, thereby reducing the total quantity of qubits needed.
Data Source
AI summary
A method, apparatus and product includes obtaining a logical representation of a quantum circuit that is implementable by a plurality of alternative physical representations of the quantum circuit, each of which implementing the logical representation with a different error correction scheme and defining error correction schemes for the quantum circuit. The defining error correction schemes includes implementing a search algorithm on the alternative physical representations, wherein the search algorithm is configured to search for a physical representation of the quantum circuit with an assignment of a plurality of physical qubits to a plurality of logical qubits that is defined in view of a quality score. A quality metric used to compute the quality score is monotonically correlated to error rates of logical output qubits of the quantum circuit when implementing each alternative physical representation. The assignment is utilized to define the error correction schemes for the quantum circuit.