A quantum algorithm for evolving open quantum dynamics on quantum computing devices
<p dir="ltr">Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic ph...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , |
| منشور في: |
2020
|
| الموضوعات: | |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513511204323328 |
|---|---|
| author | Zixuan Hu (13719685) |
| author2 | Rongxin Xia (12133862) Sabre Kais (1409968) |
| author2_role | author author |
| author_facet | Zixuan Hu (13719685) Rongxin Xia (12133862) Sabre Kais (1409968) |
| author_role | author |
| dc.creator.none.fl_str_mv | Zixuan Hu (13719685) Rongxin Xia (12133862) Sabre Kais (1409968) |
| dc.date.none.fl_str_mv | 2020-02-24T09:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1038/s41598-020-60321-x |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/A_quantum_algorithm_for_evolving_open_quantum_dynamics_on_quantum_computing_devices/26299546 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Information and computing sciences Theory of computation Quantum algorithms open quantum dynamics Kraus operators Unitary matrices Stinespring dilation Amplitude damping channel Quantum computing devices |
| dc.title.none.fl_str_mv | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.</p><h2>Other Information</h2><p dir="ltr">Published in: Scientific Reports<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1038/s41598-020-60321-x" target="_blank">https://dx.doi.org/10.1038/s41598-020-60321-x</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_091339decfdf9c32bc60501264c020f0 |
| identifier_str_mv | 10.1038/s41598-020-60321-x |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/26299546 |
| publishDate | 2020 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | A quantum algorithm for evolving open quantum dynamics on quantum computing devicesZixuan Hu (13719685)Rongxin Xia (12133862)Sabre Kais (1409968)Information and computing sciencesTheory of computationQuantum algorithmsopen quantum dynamicsKraus operatorsUnitary matricesStinespring dilationAmplitude damping channelQuantum computing devices<p dir="ltr">Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.</p><h2>Other Information</h2><p dir="ltr">Published in: Scientific Reports<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1038/s41598-020-60321-x" target="_blank">https://dx.doi.org/10.1038/s41598-020-60321-x</a></p>2020-02-24T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1038/s41598-020-60321-xhttps://figshare.com/articles/journal_contribution/A_quantum_algorithm_for_evolving_open_quantum_dynamics_on_quantum_computing_devices/26299546CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/262995462020-02-24T09:00:00Z |
| spellingShingle | A quantum algorithm for evolving open quantum dynamics on quantum computing devices Zixuan Hu (13719685) Information and computing sciences Theory of computation Quantum algorithms open quantum dynamics Kraus operators Unitary matrices Stinespring dilation Amplitude damping channel Quantum computing devices |
| status_str | publishedVersion |
| title | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| title_full | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| title_fullStr | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| title_full_unstemmed | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| title_short | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| title_sort | A quantum algorithm for evolving open quantum dynamics on quantum computing devices |
| topic | Information and computing sciences Theory of computation Quantum algorithms open quantum dynamics Kraus operators Unitary matrices Stinespring dilation Amplitude damping channel Quantum computing devices |