Preparing Quantum Many-body Scar States On Quantum Computers

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Erik J. Gustafson^1,2, Andy C. Y. Li^1,2, Abid Khan^1,3,4,5, Joonho Kim^1,6, Doga Murat Kurkcuoglu^1,2, M. Sohaib Alam^1,4,5, Peter P. Orth^1,7,8,9, Armin Rahmani¹⁰, and Thomas Iadecola^1,7,8

¹Superconducting Quantum Materials and Systems Center (SQMS), Fermi National Accelerator Laboratory, Batavia, IL 60510, USA
²Fermi National Accelerator Laboratory, Batavia, IL, 60510, USA
³Department of Physics, University of Illinois Urbana-Champaign, Urbana, IL, United States 61801
⁴USRA Research Institute for Advanced Computer Science (RIACS), Mountain View, CA, 94043, USA
⁵Quantum Artificial Intelligence Laboratory (QuAIL), NASA Ames Research Center, Moffett Field, CA, 94035, USA
⁶Rigetti Computing, Berkeley, CA, 94710, USA
⁷Department of Physics and Astronomy, Iowa State University, Ames, IA 50011, USA
⁸Ames National Laboratory, Ames, IA 50011, USA
⁹Department of Physics, Saarland University, 66123 Saarbrücken, Germany
¹⁰Department of Physics and Astronomy and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, WA 98225, USA

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Abstract

Quantum many-body scar states are highly excited eigenstates of many-body systems that exhibit atypical entanglement and correlation properties relative to typical eigenstates at the same energy density. Scar states also give rise to infinitely long-lived coherent dynamics when the system is prepared in a special initial state having finite overlap with them. Many models with exact scar states have been constructed, but the fate of scarred eigenstates and dynamics when these models are perturbed is difficult to study with classical computational techniques. In this work, we propose state preparation protocols that enable the use of quantum computers to study this question. We present protocols both for individual scar states in a particular model, as well as superpositions of them that give rise to coherent dynamics. For superpositions of scar states, we present both a system-size-linear depth unitary and a finite-depth nonunitary state preparation protocol, the latter of which uses measurement and postselection to reduce the circuit depth. For individual scarred eigenstates, we formulate an exact state preparation approach based on matrix product states that yields quasipolynomial-depth circuits, as well as a variational approach with a polynomial-depth ansatz circuit. We also provide proof of principle state-preparation demonstrations on superconducting quantum hardware.

► BibTeX data

@article{Gustafson2023preparingquantum, doi = {10.22331/q-2023-11-07-1171}, url = {https://doi.org/10.22331/q-2023-11-07-1171}, title = {Preparing quantum many-body scar states on quantum computers}, author = {Gustafson, Erik J. and Li, Andy C. Y. and Khan, Abid and Kim, Joonho and Kurkcuoglu, Doga Murat and Alam, M. Sohaib and Orth, Peter P. and Rahmani, Armin and Iadecola, Thomas}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {7}, pages = {1171}, month = nov, year = {2023}<br /> }

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Cited by

[1] Pierre-Gabriel Rozon and Kartiek Agarwal, “Broken unitary picture of dynamics in quantum many-body scars”, arXiv:2302.04885, (2023).

[2] Clement Charles, Erik J. Gustafson, Elizabeth Hardt, Florian Herren, Norman Hogan, Henry Lamm, Sara Starecheski, Ruth S. Van de Water, and Michael L. Wagman, “Simulating $mathbb{Z}_2$ lattice gauge theory on a quantum computer”, arXiv:2305.02361, (2023).

[3] Dong Yuan, Shun-Yao Zhang, and Dong-Ling Deng, “Exact Quantum Many-Body Scars in Higher-Spin Kinetically Constrained Models”, arXiv:2307.06357, (2023).

The above citations are from SAO/NASA ADS (last updated successfully 2023-11-11 02:43:03). 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 2023-11-11 02:43:01).

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.

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Source: https://quantum-journal.org/papers/q-2023-11-07-1171/

Time Stamp: November 7, 2023

Time Stamp: Mar 13, 2024

Preparing quantum many-body scar states on quantum computers

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