Quantum Algorithms and Circuits for Linear Equations with Infinite or No Solutions

[1]  Y. Liu,et al.  Efficient quantum circuit for singular-value thresholding , 2017, Physical Review A.

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

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

[4]  Stuart Hadfield,et al.  Quantum algorithms and circuits for scientific computing , 2015, Quantum Inf. Comput..

[5]  A. Montanaro.  Quantum algorithms: an overview , 2015, npj Quantum Information.

[6]  F. Petruccione,et al.  An introduction to quantum machine learning , 2014, Contemporary Physics.

[7]  Guoming Wang,et al.  Quantum Algorithms for Curve Fitting , 2014, ArXiv.

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

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

[10]  B. D. Clader,et al.  Preconditioned quantum linear system algorithm. , 2013, Physical review letters.

[11]  J. Traub,et al.  Quantum algorithm and circuit design solving the Poisson equation , 2012, 1207.2485.

[12]  Seth Lloyd,et al.  Quantum algorithm for data fitting. , 2012, Physical review letters.

[13]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

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

[15]  Barenco,et al.  Quantum networks for elementary arithmetic operations. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[16]  J. Shewchuk.  An Introduction to the Conjugate Gradient Method Without the Agonizing Pain , 1994 .

[17]  Robert H. Halstead,et al.  Matrix Computations , 2011, Encyclopedia of Parallel Computing.