In quantum computing, the computation is achieved by linear operators in or between Hilbert spaces. In this work, we explore a new computation scheme, in which the linear operators in quantum computing are replaced by (higher) functors between two (higher) categories. If from Turing computing to quantum computing is the first quantization of computation, then this new scheme can be viewed as the second quantization of computation. The fundamental problem in realizing this idea is how to realize a (higher) functor physically. We provide a theoretical idea of realizing (higher) functors physically based on the physics of topological orders.[Figure not available: see fulltext.]
First ; Corresponding
Guangdong Provincial Key Laboratory[2019B121203002] ; National Natural Science Foundation of China ; Guangdong Basic and Applied Basic Research Foundation[2020B1515120100]
|WOS Research Area|
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Cited Times [WOS]:0
|Document Type||Journal Article|
|Department||Department of Physics|
1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.International Quantum Academy,Shenzhen,518048,China
3.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
4.Institute for Applied Mathematics,Tsinghua University,Beijing,100084,China
5.Beijing Institute of Mathematical Sciences and Applications,Beijing,101408,China
6.Department of Mathematics,Peking University,Beijing,100871,China
|First Author Affilication||Department of Physics; Institute for Quantum Science and Engineering|
|Corresponding Author Affilication||Department of Physics; Institute for Quantum Science and Engineering|
|First Author's First Affilication||Department of Physics; Institute for Quantum Science and Engineering|
Kong，Liang,Zheng，Hao. Categorical computation[J]. Frontiers of Physics,2023,18(2).
Kong，Liang,&Zheng，Hao.(2023).Categorical computation.Frontiers of Physics,18(2).
Kong，Liang,et al."Categorical computation".Frontiers of Physics 18.2(2023).
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