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Published September 2019 | Published + Submitted
Journal Article Open

Quantum algorithms for conformal bootstrap

Abstract

With the help of recent developments in quantum algorithms for semidefinite programming, we discuss the possibility for quantum speedup for the numerical conformal bootstrap in conformal field theory. We show that quantum algorithms may have significant improvement in the computational performance for several numerical bootstrap problems.

Additional Information

© 2019 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. Received 16 May 2019, Revised 16 July 2019, Accepted 17 July 2019, Available online 23 July 2019. We thank Fernando Brandão, Richard Kueng, John Preskill and David Simmons-Duffin for discussions. NB is supported by the National Science Foundation under grant number 82248-13067-44-PHPXH and by the Department of Energy under grant number DE-SC0019380. JL is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), by the Walter Burke Institute for Theoretical Physics, and by Sandia Quantum Optimization & Learning & Simulation, DOE Award #DE-NA0003525. We thank the workshop, Next steps in Quantum Science for HEP in Fermilab, for hosting, where parts of work were finished.

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Published - 1-s2.0-S0550321319301889-main.pdf

Submitted - 1811.05675.pdf

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Created:
August 19, 2023
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