Quantum circuit design for accurate simulation of qudit channels
We construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a pre-specified error tolerance with respect to diamond-norm distance. The classical algorithm is constructed by decomposing a qu...
| 發表在: | New Journal of Physics |
|---|---|
| Main Authors: | , |
| 格式: | Article |
| 語言: | 英语 |
| 出版: |
IOP Publishing
2015-01-01
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| 主題: | |
| 在線閱讀: | https://doi.org/10.1088/1367-2630/17/4/043004 |
| _version_ | 1851941300814741504 |
|---|---|
| author | Dong-Sheng Wang Barry C Sanders |
| author_facet | Dong-Sheng Wang Barry C Sanders |
| author_sort | Dong-Sheng Wang |
| collection | DOAJ |
| container_title | New Journal of Physics |
| description | We construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a pre-specified error tolerance with respect to diamond-norm distance. The classical algorithm is constructed by decomposing a quantum channel into a convex combination of generalized extreme channels by convex optimization of a set of nonlinear coupled algebraïc equations. The resultant circuit is a randomly chosen generalized extreme channel circuit whose run-time is logarithmic with respect to the error tolerance and quadratic with respect to Hilbert space dimension, which requires only a single ancillary qudit plus classical dits. |
| format | Article |
| id | doaj-art-eec4319c2fa54eb6b0053cef4f23588c |
| institution | Directory of Open Access Journals |
| issn | 1367-2630 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| spelling | doaj-art-eec4319c2fa54eb6b0053cef4f23588c2025-08-19T21:50:19ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117404300410.1088/1367-2630/17/4/043004Quantum circuit design for accurate simulation of qudit channelsDong-Sheng Wang0Barry C Sanders1Institute for Quantum Science and Technology, University of Calgary , Alberta T2N 1N4, CanadaInstitute for Quantum Science and Technology, University of Calgary , Alberta T2N 1N4, Canada; Program in Quantum Information Science, Canadian Institute for Advanced Research , Toronto, Ontario M5G 1Z8, CanadaWe construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a pre-specified error tolerance with respect to diamond-norm distance. The classical algorithm is constructed by decomposing a quantum channel into a convex combination of generalized extreme channels by convex optimization of a set of nonlinear coupled algebraïc equations. The resultant circuit is a randomly chosen generalized extreme channel circuit whose run-time is logarithmic with respect to the error tolerance and quadratic with respect to Hilbert space dimension, which requires only a single ancillary qudit plus classical dits.https://doi.org/10.1088/1367-2630/17/4/043004quantum simulationquantum channeloptimization03.67.Ac03.65.Yz02.40.Ft |
| spellingShingle | Dong-Sheng Wang Barry C Sanders Quantum circuit design for accurate simulation of qudit channels quantum simulation quantum channel optimization 03.67.Ac 03.65.Yz 02.40.Ft |
| title | Quantum circuit design for accurate simulation of qudit channels |
| title_full | Quantum circuit design for accurate simulation of qudit channels |
| title_fullStr | Quantum circuit design for accurate simulation of qudit channels |
| title_full_unstemmed | Quantum circuit design for accurate simulation of qudit channels |
| title_short | Quantum circuit design for accurate simulation of qudit channels |
| title_sort | quantum circuit design for accurate simulation of qudit channels |
| topic | quantum simulation quantum channel optimization 03.67.Ac 03.65.Yz 02.40.Ft |
| url | https://doi.org/10.1088/1367-2630/17/4/043004 |
| work_keys_str_mv | AT dongshengwang quantumcircuitdesignforaccuratesimulationofquditchannels AT barrycsanders quantumcircuitdesignforaccuratesimulationofquditchannels |