Limits of classical world with finite information
Computer simulations are getting more and more common in physics. Here we examine the underlying assumption that Nature can be simulated with classical bits. We first postulate that every physical object can be encoded into a finite number of classical bits. We allow the bits to have an unknown but...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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2015
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| Online Access: | http://hdl.handle.net/10356/63454 |
| _version_ | 1826110724585291776 |
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| author | Ganardi, Ray Fellix |
| author2 | Tomasz Paterek |
| author_facet | Tomasz Paterek Ganardi, Ray Fellix |
| author_sort | Ganardi, Ray Fellix |
| collection | NTU |
| description | Computer simulations are getting more and more common in physics. Here we examine the underlying assumption that Nature can be simulated with classical bits. We first postulate that every physical object can be encoded into a finite number of classical bits. We allow the bits to have an unknown but fixed probability distribution. The second postulate is that measurements can be computed as deterministic functions on these bits. It is shown that we can model exponentially many measurements with n bits. We also derive the minimum precision that one needs in order to disprove this model in an experiment. Finally, imposing quantum mechanical restrictions on measurement devices we show that disproving the classical models with only about 100 bits is already practically impossible. |
| first_indexed | 2024-10-01T02:39:10Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/63454 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:39:10Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/634542023-02-28T23:11:18Z Limits of classical world with finite information Ganardi, Ray Fellix Tomasz Paterek School of Physical and Mathematical Sciences DRNTU::Science::Physics::Atomic physics::Quantum theory Computer simulations are getting more and more common in physics. Here we examine the underlying assumption that Nature can be simulated with classical bits. We first postulate that every physical object can be encoded into a finite number of classical bits. We allow the bits to have an unknown but fixed probability distribution. The second postulate is that measurements can be computed as deterministic functions on these bits. It is shown that we can model exponentially many measurements with n bits. We also derive the minimum precision that one needs in order to disprove this model in an experiment. Finally, imposing quantum mechanical restrictions on measurement devices we show that disproving the classical models with only about 100 bits is already practically impossible. Bachelor of Science in Physics 2015-05-13T09:19:09Z 2015-05-13T09:19:09Z 2015 2015 Final Year Project (FYP) http://hdl.handle.net/10356/63454 en 25 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics::Atomic physics::Quantum theory Ganardi, Ray Fellix Limits of classical world with finite information |
| title | Limits of classical world with finite information |
| title_full | Limits of classical world with finite information |
| title_fullStr | Limits of classical world with finite information |
| title_full_unstemmed | Limits of classical world with finite information |
| title_short | Limits of classical world with finite information |
| title_sort | limits of classical world with finite information |
| topic | DRNTU::Science::Physics::Atomic physics::Quantum theory |
| url | http://hdl.handle.net/10356/63454 |
| work_keys_str_mv | AT ganardirayfellix limitsofclassicalworldwithfiniteinformation |