Randomized Quantum Gate Compiling for Coherent Error Reduction
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Solution Overview
Problem
Quantum computation is hindered by coherent errors arising from decoherence and imperfect control, which existing technologies struggle to effectively manage, especially in achieving fault-tolerant operations.
Innovation Solution
The implementation of randomized compiling techniques, where virtual random single-qubit gates are introduced into quantum logic gate sequences, converting coherent errors into stochastic errors, thereby reducing worst-case errors and enabling fault-tolerant quantum computation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If virtual random gates are introduced into quantum logic gate sequences, then worst-case errors are reduced, but device complexity increases
Solution Approach 1:
Virtual random gates serve as intermediary elements inserted between actual quantum logic gates. These virtual gates do not physically manipulate qubits but instead modify the error characteristics of the computation by converting coherent errors into stochastic errors, thereby reducing worst-case errors while maintaining the functional equivalence of the original gate sequence
Solution Approach 2:
The invention changes the parameter space of error types by transforming deterministic coherent errors into probabilistic stochastic errors through the application of random unitary operations. This parameter transformation allows the system to operate in a regime where error thresholds for fault tolerance are more achievable
2Reliability
If randomized compiling is applied to convert coherent errors into stochastic errors, then fault tolerance is enabled, but measurement precision requirements increase
Solution Approach 1:
The invention implements feedback through randomized benchmarking procedures where measurement outcomes from multiple randomized gate sequences are collected and analyzed. The classical processing of these outcomes provides feedback about the actual error rates, enabling verification that the randomized compiling has successfully converted coherent errors into stochastic errors with rates below fault tolerance thresholds
Data Source
AI summary
Systems and methods for executing a quantum computation comprising a plurality gates on a quantum information processor are provided. An initial quantum-logic gate sequence comprising the plurality of gates is received. Then, for each instance in a plurality of instances, a procedure is performed. In each instance of the procedure a respective modified quantum-logic gate sequence is generated by applying a virtual random gate to a first single-qubit gate in the plurality of gates. The respective modified quantum-logic gate sequence is then executed on the quantum device to obtain a respective outcome. The respective outcome across the plurality of instances of the procedure is averaged to obtain a noise-tailored outcome for the initial quantum-logic gate sequence.