Quantum vs. Symplectic Computers
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929424893476864 |
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| author | Volovich, Igor |
| author_facet | Volovich, Igor |
| contents | In this paper, we propose the concept of symplectic computers, which have the potential to be more powerful than quantum computers. Unlike quantum computing, which consists of a sequence of unitary transformations (gates) and projectors (measurements), symplectic computation involves a sequence of symplectic transformations and measurements.
The proposal to explore symplectic computers is based on the following quantum-symplectic duality. The Schrödinger equation in its standard complex form describes the unitary evolution of a quantum system, while its real form describes the symplectic evolution of a classical mechanical system. This quantum-symplectic duality can be leveraged to enhance the capabilities of quantum and symplectic computers. In this symplectic approach, the role of a quantum bit (qubit) is taken by a symplectic bit (symbit). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum vs. Symplectic Computers Volovich, Igor Quantum Physics High Energy Physics - Theory In this paper, we propose the concept of symplectic computers, which have the potential to be more powerful than quantum computers. Unlike quantum computing, which consists of a sequence of unitary transformations (gates) and projectors (measurements), symplectic computation involves a sequence of symplectic transformations and measurements. The proposal to explore symplectic computers is based on the following quantum-symplectic duality. The Schrödinger equation in its standard complex form describes the unitary evolution of a quantum system, while its real form describes the symplectic evolution of a classical mechanical system. This quantum-symplectic duality can be leveraged to enhance the capabilities of quantum and symplectic computers. In this symplectic approach, the role of a quantum bit (qubit) is taken by a symplectic bit (symbit). |
| title | Quantum vs. Symplectic Computers |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.12755 |