Optimized quantum singular value thresholding algorithm based on a hybrid quantum computer |
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| Affiliation: | National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China |
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| Abstract: | Quantum singular value thresholding (QSVT) algorithm, as a core module of many mathematical models, seeks the singular values of a sparse and low rank matrix exceeding a threshold and their associated singular vectors. The existing all-qubit QSVT algorithm demands lots of ancillary qubits, remaining a huge challenge for realization on nearterm intermediate-scale quantum computers. In this paper, we propose a hybrid QSVT (HQSVT) algorithm utilizing both discrete variables (DVs) and continuous variables (CVs). In our algorithm, raw data vectors are encoded into a qubit system and the following data processing is fulfilled by hybrid quantum operations. Our algorithm requires Olog(MN)] qubits with O(1) qumodes and totally performs O(1) operations, which significantly reduces the space and runtime consumption. |
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| Keywords: | singular value thresholding algorithm hybrid quantum computation |
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