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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2106.09148 |
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| _version_ | 1866914838351970304 |
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| author | Günther, Stefanie Petersson, N. Anders DuBois, Jonathan L. |
| author_facet | Günther, Stefanie Petersson, N. Anders DuBois, Jonathan L. |
| contents | This paper presents a framework for solving the pure-state preparation problem using numerical optimal control. As an example, we consider the case where a number of qubits are dispersively coupled to a readout cavity. We model open system quantum dynamics using the Markovian Lindblad master equation, driven by external control pulses. The main result of this paper develops a basis of density matrices (a parameterization) where each basis element is a density matrix itself. Utilizing a specific objective function, we show how an ensemble of the basis elements can be used as a single initial state throughout the optimization process - independent of the system dimension. We apply the general framework to the specific application of ground-state reset of one and two qubits coupled to a readout cavity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_09148 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Quantum Optimal Control for Pure-State Preparation Using One Initial State Günther, Stefanie Petersson, N. Anders DuBois, Jonathan L. Quantum Physics Optimization and Control This paper presents a framework for solving the pure-state preparation problem using numerical optimal control. As an example, we consider the case where a number of qubits are dispersively coupled to a readout cavity. We model open system quantum dynamics using the Markovian Lindblad master equation, driven by external control pulses. The main result of this paper develops a basis of density matrices (a parameterization) where each basis element is a density matrix itself. Utilizing a specific objective function, we show how an ensemble of the basis elements can be used as a single initial state throughout the optimization process - independent of the system dimension. We apply the general framework to the specific application of ground-state reset of one and two qubits coupled to a readout cavity. |
| title | Quantum Optimal Control for Pure-State Preparation Using One Initial State |
| topic | Quantum Physics Optimization and Control |
| url | https://arxiv.org/abs/2106.09148 |