Quantum algorithm for Help-Training semi-supervised support vector machine

[1]  A. Harrow,et al.  Quantum algorithm for linear systems of equations. , 2008, Physical review letters.

[2]  S. Lloyd,et al.  Architectures for a quantum random access memory , 2008, 0807.4994.

[3]  Jiangfeng Du,et al.  Experimental realization of a quantum support vector machine. , 2015, Physical review letters.

[4]  Joseph Fitzsimons,et al.  Quantum assisted Gaussian process regression , 2015, Physical Review A.

[5]  Gilles Brassard,et al.  Quantum speed-up for unsupervised learning , 2012, Machine Learning.

[6]  Yudong Cao,et al.  Quantum circuit design for solving linear systems of equations , 2011, 1110.2232.

[7]  Maria Schuld,et al.  Implementing a distance-based classifier with a quantum interference circuit , 2017, 1703.10793.

[8]  A. Prakash,et al.  Quantum gradient descent for linear systems and least squares , 2017, Physical Review A.

[9]  L. Wossnig,et al.  Quantum Linear System Algorithm for Dense Matrices. , 2017, Physical review letters.

[10]  Chao-Hua Yu,et al.  Quantum data compression by principal component analysis , 2018, Quantum Information Processing.

[11]  S. Lloyd,et al.  Quantum algorithms for supervised and unsupervised machine learning , 2013, 1307.0411.

[12]  Masahito Hayashi,et al.  Optimal compression for identically prepared qubit states , 2016, Physical review letters.

[13]  Aephraim M. Steinberg,et al.  Quantum data compression of a qubit ensemble. , 2014, Physical review letters.

[14]  Jacob biamonte,et al.  Quantum machine learning , 2016, Nature.

[15]  Jian-Wei Pan,et al.  Experimental realization of quantum algorithm for solving linear systems of equations , 2013, 1302.1946.

[16]  Mohamed Cheriet,et al.  Help-Training for semi-supervised support vector machines , 2011, Pattern Recognit..

[17]  Iordanis Kerenidis,et al.  Quantum Recommendation Systems , 2016, ITCS.

[18]  Ashish Kapoor,et al.  Quantum algorithms for nearest-neighbor methods for supervised and unsupervised learning , 2014, Quantum Inf. Comput..

[19]  Guoming Wang.  Quantum Algorithm for Linear Regression , 2017 .

[20]  Seth Lloyd,et al.  Quantum random access memory. , 2007, Physical review letters.

[21]  G. Brassard,et al.  Quantum Amplitude Amplification and Estimation , 2000, quant-ph/0005055.

[22]  M. Schuld,et al.  Prediction by linear regression on a quantum computer , 2016, 1601.07823.

[23]  Davide Anguita,et al.  Quantum optimization for training support vector machines , 2003, Neural Networks.

[24]  S. Lloyd,et al.  Quantum principal component analysis , 2013, Nature Physics.

[25]  Chao-Hua Yu,et al.  An Improved Quantum Algorithm for Ridge Regression , 2017, IEEE Transactions on Knowledge and Data Engineering.

[26]  Alain Biem,et al.  Semisupervised Least Squares Support Vector Machine , 2009, IEEE Transactions on Neural Networks.

[27]  Ammar Daskin,et al.  Obtaining a linear combination of the principal components of a matrix on quantum computers , 2015, Quantum Inf. Process..

[28]  Peng Huang,et al.  Parameter estimation of atmospheric continuous-variable quantum key distribution , 2019, Physical Review A.

[29]  Hans-J. Briegel,et al.  Machine learning \& artificial intelligence in the quantum domain , 2017, ArXiv.

[30]  G. Chiribella,et al.  Efficient Quantum Compression for Ensembles of Identically Prepared Mixed States. , 2015, Physical review letters.

[31]  Ying Liu,et al.  Quantum algorithm for support matrix machines , 2017 .

[32]  Masoud Mohseni,et al.  Quantum support vector machine for big feature and big data classification , 2013, Physical review letters.

[33]  Luming Duan,et al.  Quantum discriminant analysis for dimensionality reduction and classification , 2015, 1510.00113.

[34]  Ajit Narayanan,et al.  Quantum artificial neural network architectures and components , 2000, Inf. Sci..

[35]  Philip Walther,et al.  2 a b c d State qubit : Eigenvalue qubit : Ancilla qubit : 1 , 2013 .

[36]  R. Cleve,et al.  Quantum fingerprinting. , 2001, Physical review letters.

[37]  Blake R. Johnson,et al.  Unsupervised Machine Learning on a Hybrid Quantum Computer , 2017, 1712.05771.