تقرير
Quantum Computation and Communication in Bosonic Systems
| العنوان: | Quantum Computation and Communication in Bosonic Systems |
|---|---|
| المؤلفون: | Noh, Kyungjoo |
| المصدر: | PhD thesis, Yale University (2020) |
| سنة النشر: | 2021 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | Quantum computation and communication are important branches of quantum information science. However, noise in realistic quantum devices fundamentally limits the utility of these quantum technologies. A conventional approach towards large-scale and fault-tolerant quantum information processing is to use multi-qubit quantum error correction (QEC), that is, to encode a logical quantum bit (or a logical qubit) redundantly over many physical qubits such that the redundancy can be used to detect errors. The required resource overhead associated with the use of conventional multi-qubit QEC schemes, however, is too high for these schemes to be realized at scale with currently available quantum devices. Recently, bosonic (or continuous-variable) quantum error correction has risen as a promising hardware-efficient alternative to multi-qubit QEC schemes. In this thesis, I provide an overview of bosonic QEC and present my contributions to the field. Specifically, I present the benchmark and optimization results of various single-mode bosonic codes against practically relevant excitation loss errors. I also demonstrate that fault-tolerant bosonic QEC is possible by concatenating a single-mode bosonic code with a multi-qubit error-correcting code. Moreover, I discuss the fundamental aspects of bosonic QEC using the framework of quantum communication theory. In particular, I present improved bounds on important communication-theoretic quantities such as the quantum capacity of bosonic Gaussian channels. Furthermore, I provide explicit bosonic error correction schemes that nearly achieve the fundamental performance limit set by the quantum capacity. I conclude the thesis with discussions on the importance of non-Gaussian resources for continuous-variable quantum information processing. Comment: 294 pages, 41 figures, 8 tables. Based on arXiv:1708.05010, arXiv:1801.07271, arXiv:1811.06988, arXiv:1903.12615, arXiv:1908.03579. This thesis was written in February, 2020. Only a few typos have been fixed since then |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2103.09445 |
| رقم الأكسشن: | edsarx.2103.09445 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |