Variational Quantum Circuits for Multi-Qubit Gate Automata
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929507070377984 |
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| author | Majumder, Arunava Lewis, Dylan Jayashankar, Akshaya Prasannaa, V. S. Bose, Sougato |
| author_facet | Majumder, Arunava Lewis, Dylan Jayashankar, Akshaya Prasannaa, V. S. Bose, Sougato |
| contents | Implementing quantum operations in the form of natural Hamiltonian dynamics is desirable, since they almost require no external control or feedback. In this work, we propose a NISQ-friendly quantum-classical hybrid approach to designing a time-independent Hamiltonian that generates a given multi-qubit unitary. In particular, we execute a Variational Quantum Algorithm, whose ansatz is carefully chosen to be a sequence of appropriately parametrized unitaries describing at most two-qubit nearest neighbour interactions, dictating the target unitary. Subsequently, we apply our approach to simulate multi-qubit target gates, with and without stochastic noise. We demonstrate that our strategy allows us to implement a Toffoli gate with sufficiently high fidelity, as compared to the other similar techniques. Our approach is an example of the usage of quantum computing for the design of quantum computers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_00139 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Variational Quantum Circuits for Multi-Qubit Gate Automata Majumder, Arunava Lewis, Dylan Jayashankar, Akshaya Prasannaa, V. S. Bose, Sougato Quantum Physics Implementing quantum operations in the form of natural Hamiltonian dynamics is desirable, since they almost require no external control or feedback. In this work, we propose a NISQ-friendly quantum-classical hybrid approach to designing a time-independent Hamiltonian that generates a given multi-qubit unitary. In particular, we execute a Variational Quantum Algorithm, whose ansatz is carefully chosen to be a sequence of appropriately parametrized unitaries describing at most two-qubit nearest neighbour interactions, dictating the target unitary. Subsequently, we apply our approach to simulate multi-qubit target gates, with and without stochastic noise. We demonstrate that our strategy allows us to implement a Toffoli gate with sufficiently high fidelity, as compared to the other similar techniques. Our approach is an example of the usage of quantum computing for the design of quantum computers. |
| title | Variational Quantum Circuits for Multi-Qubit Gate Automata |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2209.00139 |