Abstract
Symmetry-protected subspaces in quantum systems are subspaces demarcated by a conserved quantity of that quantum system. We introduce two classical algorithms, which efficiently compute and elucidate features of these subspaces. The first algorithm explores the entire symmetry-protected subspace of an initial state in time complexity linear to the size of the subspace by closing local basis state-to-basis state transitions. The second algorithm determines, with bounded error, if a given measurement outcome of a dynamically-generated state is within the symmetry-protected subspace of the state in which the dynamical system is initialized. This software is paired with the paper of the same name at https://arxiv.org/pdf/2302.08586.pdf.
- Developers:
-
Rotello, Caleb [1] ; Graf, Peter [1]
- National Renewable Energy Laboratory (NREL), Golden, CO (United States)
- Release Date:
- 2023-07-17
- Project Type:
- Open Source, Publicly Available Repository
- Software Type:
- Scientific
- Programming Languages:
-
Jupyter Notebook
Python
- Licenses:
-
BSD 3-clause "New" or "Revised" License
- Sponsoring Org.:
-
USDOE Laboratory Directed Research and Development (LDRD) ProgramPrimary Award/Contract Number:AC36-08GO28308
- Code ID:
- 110192
- Site Accession Number:
- NREL SWR-23-55
- Research Org.:
- National Renewable Energy Laboratory (NREL), Golden, CO (United States)
- Country of Origin:
- United States
Citation Formats
Rotello, Caleb, and Graf, Peter.
ADoSPSiQS (Automated Detection of Symmetry-Protected Subspaces in Quantum Simulations ) [SWR-23-55].
Computer Software.
https://github.com/NREL/SymmetryDetectionForQuantumSim.
USDOE Laboratory Directed Research and Development (LDRD) Program.
17 Jul. 2023.
Web.
doi:10.11578/dc.20240119.30.
Rotello, Caleb, & Graf, Peter.
(2023, July 17).
ADoSPSiQS (Automated Detection of Symmetry-Protected Subspaces in Quantum Simulations ) [SWR-23-55].
[Computer software].
https://github.com/NREL/SymmetryDetectionForQuantumSim.
https://doi.org/10.11578/dc.20240119.30.
Rotello, Caleb, and Graf, Peter.
"ADoSPSiQS (Automated Detection of Symmetry-Protected Subspaces in Quantum Simulations ) [SWR-23-55]." Computer software.
July 17, 2023.
https://github.com/NREL/SymmetryDetectionForQuantumSim.
https://doi.org/10.11578/dc.20240119.30.
@misc{
doecode_110192,
title = {ADoSPSiQS (Automated Detection of Symmetry-Protected Subspaces in Quantum Simulations ) [SWR-23-55]},
author = {Rotello, Caleb and Graf, Peter},
abstractNote = {Symmetry-protected subspaces in quantum systems are subspaces demarcated by a conserved quantity of that quantum system. We introduce two classical algorithms, which efficiently compute and elucidate features of these subspaces. The first algorithm explores the entire symmetry-protected subspace of an initial state in time complexity linear to the size of the subspace by closing local basis state-to-basis state transitions. The second algorithm determines, with bounded error, if a given measurement outcome of a dynamically-generated state is within the symmetry-protected subspace of the state in which the dynamical system is initialized. This software is paired with the paper of the same name at https://arxiv.org/pdf/2302.08586.pdf.},
doi = {10.11578/dc.20240119.30},
url = {https://doi.org/10.11578/dc.20240119.30},
howpublished = {[Computer Software] \url{https://doi.org/10.11578/dc.20240119.30}},
year = {2023},
month = {jul}
}