Quantum Error Mitigation via KIK Noise Scaling
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Solution Overview
Problem
Current quantum computers face substantial noise levels that hinder their performance in practical applications, and existing quantum error mitigation techniques are limited in effectiveness, particularly for moderate noise and large quantum circuits.
Innovation Solution
A novel quantum error mitigation method, known as the KIK method, uses pre-defined target and inverse evolution operators to mitigate noise by executing a sequence of Hamiltonian drives and their inverses, effectively canceling noise-induced errors through a predetermined ensemble of operators.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum error correction is implemented to handle noise, then reliability is improved, but device complexity increases significantly due to requiring thousands of physical qubits per logical qubit
Solution Approach 1:
The patent creates multiple copies of the quantum circuit with different noise levels by applying noise scaling factors. These copies are then processed classically to extrapolate the zero-noise expectation value, avoiding the need for complex quantum error correction while maintaining reliability
Solution Approach 2:
The patent replaces the mechanical quantum error correction system with a classical post-processing approach. By executing circuits with controlled noise levels and using classical computers to analyze the results through extrapolation, the system achieves noise mitigation without requiring additional physical qubits
2Reliability
If existing quantum error mitigation techniques are used, then some noise reduction is achieved, but effectiveness is limited particularly for moderate noise and large quantum circuits
Solution Approach 1:
The patent systematically varies the noise scaling factor parameter to create multiple circuit executions with different noise levels. This parameter change enables the system to handle moderate noise conditions effectively by extrapolating results across different noise regimes
Solution Approach 2:
The patent develops a universal error mitigation framework that works across different noise models and circuit sizes. The zero-noise extrapolation method is applicable to various quantum algorithms and hardware platforms, making it versatile for moderate noise conditions and large quantum circuits
Data Source
AI summary
Some embodiments relate to a method and system for quantum error mitigation (QEM) of noise in a quantum system configured to execute a quantum circuit, wherein the noise induces an error on a noise-free evolution U of the quantum circuit. The method comprises: defining a noisy evolution operator, , associated with a noisy evolution of the quantum circuit, operator, , configured to execute a Hamiltonian drive H(t) which generates the noise-free evolution U in the absence of noise; defining a corresponding inverse noisy evolution operator, , being a pulse inverse operator configured to execute a corresponding inverse Hamiltonian drive HI(t); and creating an operator , which is an approximate square of a noise channel associated with the operator , said operator representing execution of the Hamiltonian drive H(t) followed by execution of the corresponding inverse Hamiltonian drive HI(t) thereby enabling error mitigation of noise in the quantum system.


