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Noise tailoring for quantum circuits via unitary 2t-design
Linxi Zhang1,2, Yan Yu3, Changhua Zhu1
1State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, 710071, China.
Scientific Reports
|February 12, 2019
Summary
We present a novel method to convert coherent errors in quantum computers into estimable stochastic noise using unitary 2t-designs. This approach enhances the accuracy of quantum error estimation and is crucial for fault-tolerant quantum computation.
Area of Science:
- Quantum Computing
- Quantum Error Correction
- Quantum Information Science
Background:
- Real-world quantum computers suffer from coherent errors due to environmental factors and operational imperfections, hindering accurate estimation.
- Estimating and mitigating these errors are critical challenges for achieving reliable quantum computation.
Purpose of the Study:
- To propose a method for tailoring coherent errors into stochastic noise in quantum circuits.
- To demonstrate the robustness of this method against various noise types.
- To enable accurate estimation of quantum noise for fault-tolerant quantum computation.
Main Methods:
- Developing a noise-tailoring method using twirled noise over a unitary 2t-design.
- Proving that local random circuits over the Clifford group can construct a unitary 2t-design for experimental implementation.
- Demonstrating the method's robustness to both gate-dependent and gate-independent noise.
Main Results:
- Successfully tailored coherent noise into stochastic noise using unitary 2t-designs.
- Established that local random circuits over the Clifford group are effective for constructing these designs.
- Confirmed the method's resilience to different noise models.
Conclusions:
- The proposed method provides a reliable way to estimate quantum noise by converting coherent errors into stochastic noise.
- This technique is experimentally feasible and robust, paving the way for advancements in fault-tolerant quantum computing.
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