Method for realizing quantum circuit design through quantum Haar wavelet transformation
A technology of wavelet transform and circuit design, applied in computing, special data processing applications, complex mathematical operations, etc., can solve the problems of high complexity in electronic circuit design
- Summary
- Abstract
- Description
- Claims
- Application Information
AI Technical Summary
Problems solved by technology
Method used
Image
Examples
Embodiment 1
[0083] A method of quantum Haar wavelet transform to realize quantum circuit design, combining quantum computing with classical Haar wavelet transform technology to obtain quantum Haar wavelet transform; using quantum Haar wavelet transform to design the first multi-layer quantum Quantum circuits for Haar wavelet transform.
[0084] Assume is k layer 2 n The Haar wavelet transform of the element, is k-1 layer 2 n-1 The Haar wavelet transform of the element, then the classical multi-layer quantum Haar transform can be defined as:
[0085]
[0086] in is a uniform shuffled permutation matrix, H and I 2 yes figure 1 Medium single-qubit gates, Yes 2 The n times tensor product.
[0087] According to the principle of extended tensor product operation, we get And substituting it into formula (1), the iterative formula of the first multi-layer quantum Haar transform is designed as:
[0088]
[0089] where H and I 2 yes figure 1 Medium single-qubit gates, is t...
Embodiment 2
[0104] A method of quantum Haar wavelet transform to realize quantum circuit design, combining quantum computing with classical Haar wavelet transform technology to obtain quantum Haar wavelet transform; using quantum Haar wavelet transform to design the first multi-layer quantum Quantum circuits for Haar wavelet inverse transform.
[0105] The formula (2) is inversely calculated, and the first multi-layer quantum Haar wavelet inverse transform iteration formula is obtained as:
[0106]
[0107] where H and I 2 yes figure 1 Medium single-qubit gates, is the tensor product operation symbol, Yes 2 The n times tensor product, is a uniform shuffling permutation matrix, and the corresponding quantum circuit is as image 3 shown. is k layer 2 n The inverse Haar wavelet transform of the element, is k-1 layer 2 n-1 The Haar wavelet inverse transform of the element, the initial value of the iteration is:
[0108]
[0109] According to formula (5), when k=n-1, the ...
Embodiment 3
[0118] A method of quantum Haar wavelet transform to realize quantum circuit design, combining quantum computing with classical Haar wavelet transform technology to obtain quantum Haar wavelet transform; using quantum Haar wavelet transform to design the second multi-layer according to the principle of extended tensor product operation Quantum Circuits for Quantum Haar Wavelet Transform.
[0119] suppose is k layer 2 n The Haar wavelet transform of the element, is k-1 layer 2 n-1 The Haar wavelet transform of the element, then the classical multi-layer quantum Haar transform can be defined as:
[0120]
[0121] in is a uniform shuffled permutation matrix, H and I 2 yes figure 1 Medium single-qubit gates, Yes 2 The n times tensor product. According to the principle of extended tensor product operation, Can be reduced to the equivalent tensor product Will Substituting formula (6), the iterative formula of the second multi-layer quantum Haar transform is des...
PUM
Abstract
Description
Claims
Application Information
- R&D Engineer
- R&D Manager
- IP Professional
- Industry Leading Data Capabilities
- Powerful AI technology
- Patent DNA Extraction
Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.
© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com