Hybrid Quantum-Classical Algorithms and Quantum Error Mitigation

Suguru Endo; Zhenyu Cai; Simon C. Benjamin; Xiao Yuan

doi:10.7566/jpsj.90.032001

Unified approach to data-driven quantum error mitigation

Physical Review Research ◽

10.1103/physrevresearch.3.033098 ◽

2021 ◽

Vol 3 (3) ◽

Author(s):

Angus Lowe ◽

Max Hunter Gordon ◽

Piotr Czarnik ◽

Andrew Arrasmith ◽

Patrick J. Coles ◽

...

Keyword(s):

Data Driven ◽

Unified Approach ◽

Error Mitigation ◽

Quantum Error

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Quantum Error Mitigation With Artificial Neural Network

IEEE Access ◽

10.1109/access.2020.3031607 ◽

2020 ◽

Vol 8 ◽

pp. 188853-188860

Author(s):

Changjun Kim ◽

Kyungdeock Daniel Park ◽

June-Koo Rhee

Keyword(s):

Neural Network ◽

Artificial Neural Network ◽

Error Mitigation ◽

Artificial Neural ◽

Quantum Error

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Virtual Distillation for Quantum Error Mitigation

Physical Review X ◽

10.1103/physrevx.11.041036 ◽

2021 ◽

Vol 11 (4) ◽

Author(s):

William J. Huggins ◽

Sam McArdle ◽

Thomas E. O’Brien ◽

Joonho Lee ◽

Nicholas C. Rubin ◽

...

Keyword(s):

Error Mitigation ◽

Quantum Error

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Multi-exponential error extrapolation and combining error mitigation techniques for NISQ applications

npj Quantum Information ◽

10.1038/s41534-021-00404-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Zhenyu Cai

Keyword(s):

Estimation Accuracy ◽

Quantum Computers ◽

Practical Application ◽

Combined Method ◽

Error Mitigation ◽

Sampling Cost ◽

Mitigation Techniques ◽

Near Term ◽

Quantum Error ◽

Error Count

AbstractNoise in quantum hardware remains the biggest roadblock for the implementation of quantum computers. To fight the noise in the practical application of near-term quantum computers, instead of relying on quantum error correction which requires large qubit overhead, we turn to quantum error mitigation, in which we make use of extra measurements. Error extrapolation is an error mitigation technique that has been successfully implemented experimentally. Numerical simulation and heuristic arguments have indicated that exponential curves are effective for extrapolation in the large circuit limit with an expected circuit error count around unity. In this Article, we extend this to multi-exponential error extrapolation and provide more rigorous proof for its effectiveness under Pauli noise. This is further validated via our numerical simulations, showing orders of magnitude improvements in the estimation accuracy over single-exponential extrapolation. Moreover, we develop methods to combine error extrapolation with two other error mitigation techniques: quasi-probability and symmetry verification, through exploiting features of these individual techniques. As shown in our simulation, our combined method can achieve low estimation bias with a sampling cost multiple times smaller than quasi-probability while without needing to be able to adjust the hardware error rate as required in canonical error extrapolation.

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Quantum computation with universal error mitigation on a superconducting quantum processor

Science Advances ◽

10.1126/sciadv.aaw5686 ◽

2019 ◽

Vol 5 (9) ◽

pp. eaaw5686 ◽

Cited By ~ 11

Author(s):

Chao Song ◽

Jing Cui ◽

H. Wang ◽

J. Hao ◽

H. Feng ◽

...

Keyword(s):

Quantum Computation ◽

Quantum Computers ◽

Superconducting Device ◽

Error Mitigation ◽

Main Challenge ◽

Quantum Processor ◽

Quantum Error ◽

And Control ◽

The Impact ◽

Near Future

Medium-scale quantum devices that integrate about hundreds of physical qubits are likely to be developed in the near future. However, these devices will lack the resources for realizing quantum fault tolerance. Therefore, the main challenge of exploring the advantage of quantum computation is to minimize the impact of device and control imperfections without complete logical encoding. Quantum error mitigation is a solution satisfying the requirement. Here, we demonstrate an error mitigation protocol based on gate set tomography and quasi-probability decomposition. One- and two-qubit circuits are tested on a superconducting device, and computation errors are successfully suppressed. Because this protocol is universal for digital quantum computers and algorithms computing expected values, our results suggest that error mitigation can be an essential component of near-future quantum computation.

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Quantum Error Mitigation for Quantum State Tomography

IEEE Access ◽

10.1109/access.2021.3101214 ◽

2021 ◽

pp. 1-1

Author(s):

Syahri Ramadhani ◽

Junaid Ur Rehman ◽

Hyundong Shin

Keyword(s):

Quantum State ◽

Quantum State Tomography ◽

Error Mitigation ◽

State Tomography ◽

Quantum Error

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Relationship between costs for quantum error mitigation and non-Markovian measures

Physical Review A ◽

10.1103/physreva.103.012611 ◽

2021 ◽

Vol 103 (1) ◽

Author(s):

Hideaki Hakoshima ◽

Yuichiro Matsuzaki ◽

Suguru Endo

Keyword(s):

Error Mitigation ◽

Quantum Error

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A Software Method For Mitigating Single Qubit Errors On Superconducting Quantum Devices

10.31224/osf.io/s9kj4 ◽

2020 ◽

Author(s):

Macauley Coggins ◽

Devanshi Arora

Keyword(s):

Error Correction ◽

Quantum Error Correction ◽

Superconducting Qubits ◽

Quantum Decoherence ◽

Small Scale ◽

Quantum Devices ◽

Single Qubit ◽

Error Mitigation ◽

Quantum Error

Quantum error correction schemes have gained a lot of attention in recent years. This is due to the emergence of small scale quantum devices that make use of superconducting qubits. However these devices are noisy and prone to quantum decoherence and thus errors. Along with quantum error correction there has been a push for new schemes in quantum error mitigation that take a more passive approach in eliminating readout errors. In this research we introduce a software method for quantum error mitigation that maps virtual qubits in a circuit to physical qubits with the least error. The method developed was tested on 9 IBM quantum devices. Results in the study have shown the method can reduce readout errors by up to 35.52%.

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