Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation.
Pauli channels are fundamental in the context of quantum computing as they model the simplest kind of noise in quantum devices. We propose a quantum algorithm for simulating Pauli channels and extend it to encompass Pauli dynamical maps (parametrized Pauli channels). A parametrized quantum circuit i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2024-01-01
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| Series: | PLoS ONE |
| Online Access: | https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0297210&type=printable |
| _version_ | 1827284559603957760 |
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| author | Tomás Basile Carlos Pineda |
| author_facet | Tomás Basile Carlos Pineda |
| author_sort | Tomás Basile |
| collection | DOAJ |
| description | Pauli channels are fundamental in the context of quantum computing as they model the simplest kind of noise in quantum devices. We propose a quantum algorithm for simulating Pauli channels and extend it to encompass Pauli dynamical maps (parametrized Pauli channels). A parametrized quantum circuit is employed to accommodate for dynamical maps. We also establish the mathematical conditions for an N-qubit transformation to be achievable using a parametrized circuit where only one single-qubit operation depends on the parameter. The implementation of the proposed circuit is demonstrated using IBM's quantum computers for the case of one qubit, and the fidelity of this implementation is reported. |
| first_indexed | 2024-04-24T09:57:25Z |
| format | Article |
| id | doaj.art-2517bfd355dc4fdb9784e85770a99fc9 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-24T09:57:25Z |
| publishDate | 2024-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-2517bfd355dc4fdb9784e85770a99fc92024-04-14T05:31:34ZengPublic Library of Science (PLoS)PLoS ONE1932-62032024-01-01194e029721010.1371/journal.pone.0297210Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation.Tomás BasileCarlos PinedaPauli channels are fundamental in the context of quantum computing as they model the simplest kind of noise in quantum devices. We propose a quantum algorithm for simulating Pauli channels and extend it to encompass Pauli dynamical maps (parametrized Pauli channels). A parametrized quantum circuit is employed to accommodate for dynamical maps. We also establish the mathematical conditions for an N-qubit transformation to be achievable using a parametrized circuit where only one single-qubit operation depends on the parameter. The implementation of the proposed circuit is demonstrated using IBM's quantum computers for the case of one qubit, and the fidelity of this implementation is reported.https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0297210&type=printable |
| spellingShingle | Tomás Basile Carlos Pineda Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation. PLoS ONE |
| title | Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation. |
| title_full | Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation. |
| title_fullStr | Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation. |
| title_full_unstemmed | Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation. |
| title_short | Quantum simulation of Pauli channels and dynamical maps: Algorithm and implementation. |
| title_sort | quantum simulation of pauli channels and dynamical maps algorithm and implementation |
| url | https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0297210&type=printable |
| work_keys_str_mv | AT tomasbasile quantumsimulationofpaulichannelsanddynamicalmapsalgorithmandimplementation AT carlospineda quantumsimulationofpaulichannelsanddynamicalmapsalgorithmandimplementation |