يادگيري ماشين كوانتومي وكاربرد آن در علوم مالي

Quantum machine learning and its application in financial sciences

سائلي در اقتصاد كه معمولا با روش هاي كنترل بهينه تصادفي حل مي شوند، انگيزه بكارگيري كنترل بهينه كوانتومي براي حل چنين مسائلي است كه منتج به ايجاد روش هاي كنترل بهينه تصادفي با الهام از مكانيك كوانتومي شد. ﺍﻧﺘﻈﺎﺭ ﻣﯽ ﺭﻭﺩ ﺭﺍﯾﺎﻧﻪ ﻫﺎﯼ ﮐﻮﺍﻧﺘﻮﻣﯽ ﺩﺭ ﺍﯾﻦ ﺩﻫﻪ ﺍﺯ ﻗﺎﺑﻠﯿﺖ ﻫﺎﯼ ﻣﺤﺎﺳﺒﺎﺗﯽ ﺭﺍﯾﺎﻧﻪ ﻫﺎﯼﮐﻼﺳﯿﮏﭘﯿﺸﯽ ﺑﮕﯿﺮﻧﺪ ﻭ ﺗﺄﺛﯿﺮﺍﺕ ﺩﮔﺮﮔﻮﻧﯽﺑﺮ ﺑﺴﯿﺎﺭﯼ ﺍﺯ ﺑﺨﺶ ﻫﺎﯼ ﺻﻨﻌﺖ، ﺑﻪ ﻭﯾﮋﻩ ﺍﻣﻮﺭ ﻣﺎﻟﯽ ﺩﺍﺷﺘﻪﺑﺎﺷﻨﺪ.ﺩﺭ ﻭﺍﻗﻊ، ﺑﺮﺁﻭﺭﺩ ﻣﯽ ﺷﻮﺩ ﮐﻪ ﺍﻣﻮﺭ ﻣﺎﻟﯽ ﺍﻭﻟﯿﻦ ﺑﺨﺶ ﺻﻨﻌﺘﯽ ﺑﺎﺷﺪ ﮐﻪ ﺍﺯ ﻣﺤﺎﺳﺒﺎﺕ ﮐﻮﺍﻧﺘﻮﻣﯽ، ﻧﻪﺗﻨﻬﺎ ﺩﺭ ﻣﯿﺎﻥ ﻣﺪﺕ ﻭ ﺑﻠﻨﺪﻣﺪﺕ، ﺑﻠﮑﻪ ﺣﺘﯽ ﺩﺭ ﮐﻮﺗﺎﻩ ﻣﺪﺕ ﺑﻬﺮﻩ ﻣﯽ ﺑﺮﺩ. در اينجا ﻧﻈﺮﺳﻨﺠﯽﺧﻼﺻﻪ ﺍﯼﺟﺎﻣﻊ ﺍﺯ ﻣﺤﺎﺳﺒﺎﺕ ﮐﻮﺍﻧﺘﻮﻣﯽ ﺑﺮﺍﯼ ﮐﺎﺭﺑﺮﺩﻫﺎﯼ ﻣﺎﻟﯽ، ﺑﺎ ﺗﺄﮐﯿﺪ ﻭﯾﮋﻩ ﺑﺮ ﻣﺪﻝ ﺳﺎﺯﯼﺗﺼﺎﺩﻓﯽ، ﺑﻬﯿﻨﻪ ﺳﺎﺯﯼﻭ ﯾﺎﺩﮔﯿﺮﯼ ﻣﺎﺷﯿﻦ ﺍﺭﺍئه ﻣﯽ دهيمﻭ ﭼﮕﻮﻧگي ﺭﺍﻩ ﺣﻞ ﻫﺎي تطيبقي،ﮐﻪ ﺑﺮﺍﯼ ﮐﺎﺭ ﺑﺮ ﺭﻭﯼ ﯾﮏ ﮐﺎﻣﭙﯿﻮﺗﺮ ﮐﻮﺍﻧﺘﻮﻣﯽ را توضيح مي دهيم، ﺑﻪ ﻃﻮﺭ ﺑﺎﻟﻘﻮﻩ ﻣﯽ ﺗﻮﺍﻧﻨﺪﺑﻪﻣﺸﮑﻼﺕ ﻣﺎﻟﯽ ﻣﺎﻧﻨﺪ: ﻣﺪﻝ ﺳﺎﺯﯼ ﺭﯾﺴﮏ، ﺑﻬﯿﻨﻪ ﺳﺎﺯﯼ ﭘﻮﺭﺗﻔﻮﻟﯿﻮ را ﮐﺎﺭﺁﻣﺪﺗﺮ ﻭ ﺩﻗﯿﻖ ﺗﺮ ﺣﻞ ﮐﻨند.

Problems in economics that are usually solved by stochastic optimal control methods are the motivation to use quantum optimal control to solve such problems, which led to the creation of stochastic optimal control methods inspired by quantum mechanics. It is expected that quantum computers will surpass the computing capabilities of classical computers in this decade and have transformative effects on many industrial sectors, especially financial affairs. In fact, it will happen. May financial affairs be the first industrial sector that uses quantum computing, not only It is used in the short and long term, but also in the short term. Here we provide a comprehensive overview of quantum computing for financial applications, with special emphasis on stochastic modeling, optimization, and machine learning, and how to implement adaptive solutions that can run on a single computer. We explain quantum meruit, they can potentially lead to financial problems. Such as: solve risk modeling, portfolio optimization more efficiently and accurately.