SQiSW Gate Benchmarking for High-Fidelity Two-Qubit Operations
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Solution Overview
Problem
Existing quantum computational devices face significant errors and imprecision, particularly in two-qubit gate operations, which hinder the performance and scalability of quantum computing.
Innovation Solution
The implementation of the SQiSW gate and the use of Interleaved Fully Randomized Benchmarking (iFRB) framework to decompose arbitrary two-qubit gates into sequences of SQiSW gates and single-qubit rotations, enabling efficient benchmarking and optimization of SQiSW gate implementations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional two-qubit gate operations are used in quantum computational devices, then basic quantum computation can be performed, but significant errors and imprecision occur particularly in two-qubit gate operations
Solution Approach 1:
The patent changes the operational parameters of the quantum system by implementing the SQiSW gate with specific coupling strengths and interaction times. By adjusting the coupling parameter g and interaction time t to achieve the specific transformation U = exp(-i(π/4)(σx⊗σx + σy⊗σy)), the system achieves ultra-high fidelity two-qubit operations while maintaining manageable device complexity
Solution Approach 2:
The patent substitutes conventional two-qubit gate implementations with the SQiSW gate mechanism that utilizes controlled exchange interaction between qubits. This substitution replaces error-prone conventional operations with a more reliable quantum mechanical interaction that naturally achieves the desired gate operation with higher fidelity
2Productivity
If more two-qubit gate operations are implemented to increase computational capability, then quantum computing performance improves, but errors and imprecision increase
Solution Approach 1:
The patent segments complex quantum algorithms into sequences of SQiSW gate operations. By decomposing arbitrary two-qubit gates into combinations of SQiSW gates and single-qubit rotations, the system can perform complex computations while maintaining high fidelity through the use of reliable elementary gate building blocks
Solution Approach 2:
The patent implements randomized benchmarking protocols that provide feedback on gate fidelity. By measuring the fidelity of SQiSW gate operations and using this information to optimize gate parameters and error correction strategies, the system maintains high reliability even as computational capability increases
3Reliability
If conventional gate sequences are used, then quantum computations can be performed, but the total number of gates and errors increases
Solution Approach 1:
The patent establishes the SQiSW gate as a universal building block that can implement any two-qubit gate operation when combined with single-qubit rotations. This universality allows the system to perform diverse quantum computations using a single high-fidelity gate type, reducing the total number of gates needed compared to conventional approaches that require multiple specialized gate types
Solution Approach 2:
The patent performs preliminary decomposition of target unitary operations into SQiSW gate sequences using optimized compilation algorithms. By pre-processing the quantum circuit to minimize the number of SQiSW gates required and eliminate redundant operations, the system reduces total gate operation time while maintaining high fidelity
Data Source
AI summary
Systems and methods for performing iFRB benchmarking are disclosed. Exemplary systems can include a quantum component and a classical component. The classical component can include at least one processor and at least one non-transitory computer-readable medium. The non-transitory computer-readable medium can contain instructions that, when executed by the at least one processor, cause the classical component to perform operations. The operations can include generating a gate sequence including test gates interleaved with gate subsequences equivalent to Haar random two-qubit gates. Each gate subsequence can include at least one SQiSW gate. The operations can further include generating a recovery gate based on the gate sequence. The operations can further include providing commands applying the gate sequence and the recovery gate to the quantum component and obtaining an output from the quantum component.