Symmetry-induced quantum-inspired parallelism of classical dynamic systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913091989536768 |
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| author | Erementchouk, Mikhail Mazumder, Pinaki |
| author_facet | Erementchouk, Mikhail Mazumder, Pinaki |
| contents | Performing multiple computations within the same system,
without spatial or temporal separation of tasks, requires encoding
multiple data items into a well-defined physical state. The most widely
explored mechanism for such encoding is the superposition of physical
states representing computational states. However, superposition requires
the system to be linear, which significantly limits the set of
achievable operations. We show that system symmetries provide an
alternative mechanism for encoding multiple computational states.
Notably, this mechanism also applies to nonlinear systems and therefore
does not impose inherent limits on computed functions.
Using the evaluation of Boolean functions as an example, we show that a
relaxed spin network driven by the V-2 model supports this
mechanism. We relate the resulting simultaneous computations enabled by
symmetry-induced parallelism to properties of the evaluated functions.
We demonstrate symmetry-induced parallelism for a logical AND/OR
gate and an N-bit adder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04204 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetry-induced quantum-inspired parallelism of classical dynamic systems Erementchouk, Mikhail Mazumder, Pinaki Emerging Technologies Performing multiple computations within the same system, without spatial or temporal separation of tasks, requires encoding multiple data items into a well-defined physical state. The most widely explored mechanism for such encoding is the superposition of physical states representing computational states. However, superposition requires the system to be linear, which significantly limits the set of achievable operations. We show that system symmetries provide an alternative mechanism for encoding multiple computational states. Notably, this mechanism also applies to nonlinear systems and therefore does not impose inherent limits on computed functions. Using the evaluation of Boolean functions as an example, we show that a relaxed spin network driven by the V-2 model supports this mechanism. We relate the resulting simultaneous computations enabled by symmetry-induced parallelism to properties of the evaluated functions. We demonstrate symmetry-induced parallelism for a logical AND/OR gate and an N-bit adder. |
| title | Symmetry-induced quantum-inspired parallelism of classical dynamic systems |
| topic | Emerging Technologies |
| url | https://arxiv.org/abs/2605.04204 |