Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2203.06554 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917148814737408 |
|---|---|
| author | George, Ian Lin, Jie van Himbeeck, Thomas Fang, Kun Lütkenhaus, Norbert |
| author_facet | George, Ian Lin, Jie van Himbeeck, Thomas Fang, Kun Lütkenhaus, Norbert |
| contents | The Entropy Accumulation Theorem (EAT) was introduced to significantly improve the finite-size rates for device-independent quantum information processing tasks such as device-independent quantum key distribution (QKD). A natural question would be whether it also improves the rates for device-dependent QKD. In this work, we provide an affirmative answer to this question. We present new tools for applying the EAT in the device-dependent setting. We present sufficient conditions for the Markov chain conditions to hold as well as general algorithms for constructing the needed min-tradeoff function. Utilizing Dupuis' recent privacy amplification without smoothing result, we improve the key rate by optimizing the sandwiched Rényi entropy directly rather than considering the traditional smooth min-entropy. We exemplify these new tools by considering several examples including the BB84 protocol with the qubit-based version and with a realistic parametric downconversion source, the six-state four-state protocol and a high-dimensional analog of the BB84 protocol. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_06554 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Finite-Key Analysis of Quantum Key Distribution with Characterized Devices Using Entropy Accumulation George, Ian Lin, Jie van Himbeeck, Thomas Fang, Kun Lütkenhaus, Norbert Quantum Physics The Entropy Accumulation Theorem (EAT) was introduced to significantly improve the finite-size rates for device-independent quantum information processing tasks such as device-independent quantum key distribution (QKD). A natural question would be whether it also improves the rates for device-dependent QKD. In this work, we provide an affirmative answer to this question. We present new tools for applying the EAT in the device-dependent setting. We present sufficient conditions for the Markov chain conditions to hold as well as general algorithms for constructing the needed min-tradeoff function. Utilizing Dupuis' recent privacy amplification without smoothing result, we improve the key rate by optimizing the sandwiched Rényi entropy directly rather than considering the traditional smooth min-entropy. We exemplify these new tools by considering several examples including the BB84 protocol with the qubit-based version and with a realistic parametric downconversion source, the six-state four-state protocol and a high-dimensional analog of the BB84 protocol. |
| title | Finite-Key Analysis of Quantum Key Distribution with Characterized Devices Using Entropy Accumulation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2203.06554 |