Bound on the distance between controlled quantum state and target state under decoherence
To implement quantum information technologies, carefully designed control for preparing a desired state plays a key role. However, in realistic situation, the actual performance of those methodologies is severely limited by decoherence. Therefore, it is important to evaluate how close we can steer t...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
11.03.2023
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| Subjects | |
| Online Access | Get full text |
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| Abstract | To implement quantum information technologies, carefully designed control for
preparing a desired state plays a key role. However, in realistic situation,
the actual performance of those methodologies is severely limited by
decoherence. Therefore, it is important to evaluate how close we can steer the
controlled state to a desired target state under decoherence. In this paper, we
provide an upper bound of the distance between the two controlled quantum
systems in the presence and absence of decoherence. The bound quantifies the
degree of achievement of the control for a given target state under
decoherence, and can be straightforwardly calculated without solving any
equation. Moreover, the upper bound is applied to derive a theoretical limit of
the probability for obtaining the target state under decoherence. |
|---|---|
| AbstractList | To implement quantum information technologies, carefully designed control for
preparing a desired state plays a key role. However, in realistic situation,
the actual performance of those methodologies is severely limited by
decoherence. Therefore, it is important to evaluate how close we can steer the
controlled state to a desired target state under decoherence. In this paper, we
provide an upper bound of the distance between the two controlled quantum
systems in the presence and absence of decoherence. The bound quantifies the
degree of achievement of the control for a given target state under
decoherence, and can be straightforwardly calculated without solving any
equation. Moreover, the upper bound is applied to derive a theoretical limit of
the probability for obtaining the target state under decoherence. |
| Author | Kobayashi, Kohei |
| Author_xml | – sequence: 1 givenname: Kohei surname: Kobayashi fullname: Kobayashi, Kohei |
| BackLink | https://doi.org/10.48550/arXiv.2303.06466$$DView paper in arXiv |
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| Snippet | To implement quantum information technologies, carefully designed control for
preparing a desired state plays a key role. However, in realistic situation,
the... |
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| SubjectTerms | Physics - Quantum Physics |
| Title | Bound on the distance between controlled quantum state and target state under decoherence |
| URI | https://arxiv.org/abs/2303.06466 |
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