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Explicit decoders using quantum singular value transformation
- Publication Year :
- 2024
-
Abstract
- Recovering quantum information from a noisy quantum system is one of the central challenges in quantum information science and fundamental physics. The key to this goal is explicitly constructing a decoder. In this paper, we provide two explicit decoding quantum circuits that are both capable of recovering quantum information when a decoupling condition is satisfied, i.e., when quantum information is in principle recoverable. The decoders are constructed by using the fixed-point amplitude amplification algorithm based on the quantum singular value transformation, which significantly extends an approach by Yoshida and Kitaev in a specific noise model to general situations. We also show that the proposed decoding circuits reduce the computational cost compared to a previously known explicit decoder. Our constructions not only show an intriguing intersection between decoders and quantum algorithms but also reveal the power of an algorithmic approach to recovering quantum information.<br />Comment: 23 pages, 12 figures, 2 tables
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.06051
- Document Type :
- Working Paper