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- Title
Boundary extension methods to quantum signal mean filtering.
- Authors
Zhang, Rui; Wang, Jian; Jiang, Nan
- Abstract
The filtering of quantum signals that encode a message in qubits has become increasingly attractive in the past few years. Some problems associated with boundary will occur due to the finiteness of the quantum signal length. However, there have been few results in solving the quantum boundary problem until now. In this paper, we investigate four different methods for boundary extension of quantum signals (BEQS). An auxiliary qubit is entangled with the position of the original signal to extend the signal at first. Next, four extension methods are implemented by using quantum operators such as swap, Adder, and cycle shift. Then, two quantum signal filters and their quantum circuits are proposed based on BEQS. The complexity analysis shows that the proposed scheme has computational complexity that is a second-order polynomial in the number of qubits that encode the signal. Finally, we use the root mean square error to describe the visual quality of a filtered signal. Several experiments demonstrate that the extension method of being symmetric extension has a good performance in noise suppression. The significance of this paper is to present boundary extension methods for quantum signal.
- Subjects
SIGNAL filtering; STANDARD deviations; QUANTUM operators; QUBITS; QUANTUM gates
- Publication
Quantum Information Processing, 2022, Vol 21, Issue 2, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-021-03386-5