Mitiq: A Software Package For Error Mitigation On Noisy Quantum Computers

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Ryan LaRose^1,2, Andrea Mari¹, Sarah Kaiser¹, Peter J. Karalekas^1,3, Andre A. Alves⁴, Piotr Czarnik⁵, Mohamed El Mandouh⁶, Max H. Gordon⁷, Yousef Hindy⁸, Aaron Robertson⁹, Purva Thakre¹⁰, Misty Wahl¹, Danny Samuel¹, Rahul Mistri¹, Maxime Tremblay¹¹, Nick Gardner⁸, Nathaniel T. Stemen¹, Nathan Shammah¹, and William J. Zeng^1,8,12

¹Unitary Fund
²Michigan State University, East Lansing, MI
³AWS Center for Quantum Computing, Pasadena, CA 91125, USA
⁴Hamburg University of Applied Sciences, Hamburg, Germany
⁵Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
⁶Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
⁷Instituto de Física Teórica, UAM/CSIC, Universidad Autónoma de Madrid, Madrid, Spain
⁸Stanford University, Palo Alto, CA
⁹Independent researcher
¹⁰Southern Illinois University, Carbondale, IL
¹¹Institut quantique, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
¹²Goldman, Sachs & Co, New York, NY

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Abstract

We introduce Mitiq, a Python package for error mitigation on noisy quantum computers. Error mitigation techniques can reduce the impact of noise on near-term quantum computers with minimal overhead in quantum resources by relying on a mixture of quantum sampling and classical post-processing techniques. Mitiq is an extensible toolkit of different error mitigation methods, including zero-noise extrapolation, probabilistic error cancellation, and Clifford data regression. The library is designed to be compatible with generic backends and interfaces with different quantum software frameworks. We describe Mitiq using code snippets to demonstrate usage and discuss features and contribution guidelines. We present several examples demonstrating error mitigation on IBM and Rigetti superconducting quantum processors as well as on noisy simulators.

Featured image: Mitiq project logo

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Popular summary

In this paper, we introduce Mitiq: a Python toolkit for implementing error mitigation techniques on quantum computers.

Current quantum computers are noisy due to interactions with the environment, imperfect gate applications, state preparation and measurement errors, etc. Error mitigation seeks to reduce these effects with minimal overhead in quantum resources by relying on a mixture of quantum sampling and classical post-processing techniques.

► BibTeX data

@article{LaRose2022mitiqsoftware, doi = {10.22331/q-2022-08-11-774}, url = {https://doi.org/10.22331/q-2022-08-11-774}, title = {Mitiq: {A} software package for error mitigation on noisy quantum computers}, author = {LaRose, Ryan and Mari, Andrea and Kaiser, Sarah and Karalekas, Peter J. and Alves, Andre A. and Czarnik, Piotr and El Mandouh, Mohamed and Gordon, Max H. and Hindy, Yousef and Robertson, Aaron and Thakre, Purva and Wahl, Misty and Samuel, Danny and Mistri, Rahul and Tremblay, Maxime and Gardner, Nick and Stemen, Nathaniel T. and Shammah, Nathan and Zeng, William J.}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {6}, pages = {774}, month = aug, year = {2022} }

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[1] Kaoru Yamamoto, Suguru Endo, Hideaki Hakoshima, Yuichiro Matsuzaki, and Yuuki Tokunaga, “Error-mitigated quantum metrology via virtual purification”, arXiv:2112.01850.

[2] Gokul Subramanian Ravi, Kaitlin N. Smith, Pranav Gokhale, Andrea Mari, Nathan Earnest, Ali Javadi-Abhari, and Frederic T. Chong, “VAQEM: A Variational Approach to Quantum Error Mitigation”, arXiv:2112.05821.

[3] Andrew Eddins, Mario Motta, Tanvi P. Gujarati, Sergey Bravyi, Antonio Mezzacapo, Charles Hadfield, and Sarah Sheldon, “Doubling the Size of Quantum Simulators by Entanglement Forging”, PRX Quantum 3 1, 010309 (2022).

[4] Andrea Mari, Nathan Shammah, and William J. Zeng, “Extending quantum probabilistic error cancellation by noise scaling”, Physical Review A 104 5, 052607 (2021).

[5] Alejandro Sopena, Max Hunter Gordon, Germán Sierra, and Esperanza López, “Simulating quench dynamics on a digital quantum computer with data-driven error mitigation”, Quantum Science and Technology 6 4, 045003 (2021).

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[12] Martin Rodriguez-Vega, Ella Carlander, Adrian Bahri, Ze-Xun Lin, Nikolai A. Sinitsyn, and Gregory A. Fiete, “Real-time simulation of light-driven spin chains on quantum computers”, Physical Review Research 4 1, 013196 (2022).

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[21] Changsu Cao, Jiaqi Hu, Wengang Zhang, Xusheng Xu, Dechin Chen, Fan Yu, Jun Li, Hanshi Hu, Dingshun Lv, and Man-Hong Yung, “Towards a Larger Molecular Simulation on the Quantum Computer: Up to 28 Qubits Systems Accelerated by Point Group Symmetry”, arXiv:2109.02110.

[22] Vasily Sazonov and Mohamed Tamaazousti, “Quantum error mitigation for parametric circuits”, Physical Review A 105 4, 042408 (2022).

[23] Changsu Cao, Jiaqi Hu, Wengang Zhang, Xusheng Xu, Dechin Chen, Fan Yu, Jun Li, Han-Shi Hu, Dingshun Lv, and Man-Hong Yung, “Progress toward larger molecular simulation on a quantum computer: Simulating a system with up to 28 qubits accelerated by point-group symmetry”, Physical Review A 105 6, 062452 (2022).

[24] Swarnadeep Majumder, Christopher G. Yale, Titus D. Morris, Daniel S. Lobser, Ashlyn D. Burch, Matthew N. H. Chow, Melissa C. Revelle, Susan M. Clark, and Raphael C. Pooser, “Characterizing and mitigating coherent errors in a trapped ion quantum processor using hidden inverses”, arXiv:2205.14225.

[25] Olivia Di Matteo, Josh Izaac, Tom Bromley, Anthony Hayes, Christina Lee, Maria Schuld, Antal Száva, Chase Roberts, and Nathan Killoran, “Quantum computing with differentiable quantum transforms”, arXiv:2202.13414.

[26] Kevin Schultz, Ryan LaRose, Andrea Mari, Gregory Quiroz, Nathan Shammah, B. David Clader, and William J. Zeng, “Reducing the impact of time-correlated noise on zero-noise extrapolation”, arXiv:2201.11792.

[27] John Rogers, Gargee Bhattacharyya, Marius S. Frank, Tao Jiang, Ove Christiansen, Yong-Xin Yao, and Nicola Lanatà, “Error mitigation in variational quantum eigensolvers using probabilistic machine learning”, arXiv:2111.08814.

[28] Yi Fan, Jie Liu, Zhenyu Li, and Jinlong Yang, “A Quantum Algorithm to Calculate Band Structure at the EOM Level of Theory”, arXiv:2109.01318.

[29] Cheng-Lin Hong, Ting Tsai, Jyh-Pin Chou, Peng-Jen Chen, Pei-Kai Tsai, Yu-Cheng Chen, En-Jui Kuo, David Srolovitz, Alice Hu, Yuan-Chung Cheng, and Hsi-Sheng Goan, “Accurate and Efficient Quantum Computations of Molecular Properties Using Daubechies Wavelet Molecular Orbitals: A Benchmark Study against Experimental Data”, PRX Quantum 3 2, 020360 (2022).

The above citations are from SAO/NASA ADS (last updated successfully 2022-08-12 00:20:22). The list may be incomplete as not all publishers provide suitable and complete citation data.

On Crossref’s cited-by service no data on citing works was found (last attempt 2022-08-12 00:20:20).

This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.

Time Stamp: August 11, 2022August 11, 2022

Time Stamp: Sep 14, 2023

Mitiq: A software package for error mitigation on noisy quantum computers

Republished By Plato

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