A multilayer multi-configurational approach to efficiently simulate large-scale circuit-based quantum computers on classical machines
Abstract
Here, a multilayer multi-configurational theory framework is adapted to simulate circuit-based quantum computers. Quantum addition of superpositions of an exponential number of summands is performed in polynomial time with high accuracy. We demonstrate numerically accurate calculations including up to one million qubits for entangling benchmarks. Simulation cost can be assessed by entropy-based entanglement measures. For the considered systems, we show that the entanglement only grows weakly with the system size. The present simulations demonstrate how quantum algorithms in low-entropy regimes can be used efficiently on classically simulated quantum computers.
- Authors:
-
[1];
[1]
- Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; Boeing; German Research Foundation (DFG)
- OSTI Identifier:
- 1660411
- Alternate Identifier(s):
- OSTI ID: 1644718
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 153; Journal Issue: 5; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Quantum entanglement; Quantum algorithms; Machine learning; Quantum computing; Optimization problems; Density matrix renormalization group; Quantum information
Citation Formats
Ellerbrock, Roman, and Martinez, Todd J. A multilayer multi-configurational approach to efficiently simulate large-scale circuit-based quantum computers on classical machines. United States: N. p., 2020.
Web. doi:10.1063/5.0013123.
Ellerbrock, Roman, & Martinez, Todd J. A multilayer multi-configurational approach to efficiently simulate large-scale circuit-based quantum computers on classical machines. United States. https://doi.org/10.1063/5.0013123
Ellerbrock, Roman, and Martinez, Todd J. Tue .
"A multilayer multi-configurational approach to efficiently simulate large-scale circuit-based quantum computers on classical machines". United States. https://doi.org/10.1063/5.0013123. https://www.osti.gov/servlets/purl/1660411.
@article{osti_1660411,
title = {A multilayer multi-configurational approach to efficiently simulate large-scale circuit-based quantum computers on classical machines},
author = {Ellerbrock, Roman and Martinez, Todd J.},
abstractNote = {Here, a multilayer multi-configurational theory framework is adapted to simulate circuit-based quantum computers. Quantum addition of superpositions of an exponential number of summands is performed in polynomial time with high accuracy. We demonstrate numerically accurate calculations including up to one million qubits for entangling benchmarks. Simulation cost can be assessed by entropy-based entanglement measures. For the considered systems, we show that the entanglement only grows weakly with the system size. The present simulations demonstrate how quantum algorithms in low-entropy regimes can be used efficiently on classically simulated quantum computers.},
doi = {10.1063/5.0013123},
journal = {Journal of Chemical Physics},
number = 5,
volume = 153,
place = {United States},
year = {Tue Aug 04 00:00:00 EDT 2020},
month = {Tue Aug 04 00:00:00 EDT 2020}
}
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