Quantum Noises, Physical Realizability and Coherent Quantum Feedback Control
Physical Realizability addresses the question of whether it is possible to implement a given linear time invariant (LTI) system as a quantum system. A given synthesized quantum controller described by a set of stochastic differential equations does not necessarily correspond to a physically meaningf...
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| creator | Vuglar, Shanon L Petersen, Ian R |
| description | Physical Realizability addresses the question of whether it is possible to
implement a given linear time invariant (LTI) system as a quantum system. A
given synthesized quantum controller described by a set of stochastic
differential equations does not necessarily correspond to a physically
meaningful quantum system. However, if additional quantum noises are permitted
in the implementation, it is always possible to implement an arbitrary LTI
system as a quantum system. In this paper, we give an expression for the number
of introduced noise channels required to implement a given LTI system as a
quantum system. We then consider the special case where only the transfer
function to be implemented is of interest. We give results showing when it is
possible to implement a transfer function as a quantum system by introducing
the same number of quantum noises as there are system outputs. Finally, we
demonstrate the utility of these results by providing an algorithm for
obtaining a suboptimal solution to a coherent quantum LQG control problem. |
| doi_str_mv | 10.48550/arxiv.1501.05044 |
| format | Article |
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implement a given linear time invariant (LTI) system as a quantum system. A
given synthesized quantum controller described by a set of stochastic
differential equations does not necessarily correspond to a physically
meaningful quantum system. However, if additional quantum noises are permitted
in the implementation, it is always possible to implement an arbitrary LTI
system as a quantum system. In this paper, we give an expression for the number
of introduced noise channels required to implement a given LTI system as a
quantum system. We then consider the special case where only the transfer
function to be implemented is of interest. We give results showing when it is
possible to implement a transfer function as a quantum system by introducing
the same number of quantum noises as there are system outputs. Finally, we
demonstrate the utility of these results by providing an algorithm for
obtaining a suboptimal solution to a coherent quantum LQG control problem.</description><identifier>DOI: 10.48550/arxiv.1501.05044</identifier><language>eng</language><subject>Physics - Quantum Physics</subject><creationdate>2015-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1501.05044$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1501.05044$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Vuglar, Shanon L</creatorcontrib><creatorcontrib>Petersen, Ian R</creatorcontrib><title>Quantum Noises, Physical Realizability and Coherent Quantum Feedback Control</title><description>Physical Realizability addresses the question of whether it is possible to
implement a given linear time invariant (LTI) system as a quantum system. A
given synthesized quantum controller described by a set of stochastic
differential equations does not necessarily correspond to a physically
meaningful quantum system. However, if additional quantum noises are permitted
in the implementation, it is always possible to implement an arbitrary LTI
system as a quantum system. In this paper, we give an expression for the number
of introduced noise channels required to implement a given LTI system as a
quantum system. We then consider the special case where only the transfer
function to be implemented is of interest. We give results showing when it is
possible to implement a transfer function as a quantum system by introducing
the same number of quantum noises as there are system outputs. Finally, we
demonstrate the utility of these results by providing an algorithm for
obtaining a suboptimal solution to a coherent quantum LQG control problem.</description><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNo1z01OwzAUBGBvukAtB2CFD0CC7fgvSxRRQIpaQN1Hz_GLauEmyEkR4fRAoatZjGakj5ArznJplWK3kD7DR84V4zlTTMoLUr8coZ-OB7oZwojjDX3ez2NoIdJXhBi-wIUYpplC72k17DFhP9HzZo3oHbRvP00_pSGuyKKDOOLlfy7Jbn2_qx6zevvwVN3VGWgjMxBWt1IJ79DbjhfOcKZ9Z4RqS6lkaZ1gyqGRupOF1qBLzQGs80yAZ2iKJbn-uz1xmvcUDpDm5pfVnFjFN-PJR-U</recordid><startdate>20150120</startdate><enddate>20150120</enddate><creator>Vuglar, Shanon L</creator><creator>Petersen, Ian R</creator><scope>GOX</scope></search><sort><creationdate>20150120</creationdate><title>Quantum Noises, Physical Realizability and Coherent Quantum Feedback Control</title><author>Vuglar, Shanon L ; Petersen, Ian R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-a286c452dbed8f13b7106df725c945498b205be746f4366a6961aa8bd02ad0e73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Vuglar, Shanon L</creatorcontrib><creatorcontrib>Petersen, Ian R</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vuglar, Shanon L</au><au>Petersen, Ian R</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum Noises, Physical Realizability and Coherent Quantum Feedback Control</atitle><date>2015-01-20</date><risdate>2015</risdate><abstract>Physical Realizability addresses the question of whether it is possible to
implement a given linear time invariant (LTI) system as a quantum system. A
given synthesized quantum controller described by a set of stochastic
differential equations does not necessarily correspond to a physically
meaningful quantum system. However, if additional quantum noises are permitted
in the implementation, it is always possible to implement an arbitrary LTI
system as a quantum system. In this paper, we give an expression for the number
of introduced noise channels required to implement a given LTI system as a
quantum system. We then consider the special case where only the transfer
function to be implemented is of interest. We give results showing when it is
possible to implement a transfer function as a quantum system by introducing
the same number of quantum noises as there are system outputs. Finally, we
demonstrate the utility of these results by providing an algorithm for
obtaining a suboptimal solution to a coherent quantum LQG control problem.</abstract><doi>10.48550/arxiv.1501.05044</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Quantum Physics |
| title | Quantum Noises, Physical Realizability and Coherent Quantum Feedback Control |
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