Variational algorithms for linear algebra

[1]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[2]  D. Abrams,et al.  Simulation of Many-Body Fermi Systems on a Universal Quantum Computer , 1997, quant-ph/9703054.

[3]  Thomas de Quincey.  [C] , 2000, The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820.

[4]  장윤희,et al.  Y. , 2003, Industrial and Labor Relations Terms.

[5]  M. Head‐Gordon,et al.  Simulated Quantum Computation of Molecular Energies , 2005, Science.

[6]  Costas S. Iliopoulos,et al.  Symposium on Theoretical Aspects of Computer Science , 2008 .

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

[8]  W. Marsden.  I and J , 2012 .

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

[10]  Alán Aspuru-Guzik,et al.  A variational eigenvalue solver on a photonic quantum processor , 2013, Nature Communications.

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

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

[13]  M. Hastings,et al.  Progress towards practical quantum variational algorithms , 2015, 1507.08969.

[14]  Ryan Babbush,et al.  The theory of variational hybrid quantum-classical algorithms , 2015, 1509.04279.

[15]  J. Whitfield,et al.  Quantum Simulation of Helium Hydride Cation in a Solid-State Spin Register. , 2014, ACS nano.

[16]  이화영.  X , 1960, Chinese Plants Names Index 2000-2009.

[17]  P. Coveney,et al.  Scalable Quantum Simulation of Molecular Energies , 2015, 1512.06860.

[18]  Alán Aspuru-Guzik,et al.  The theory of variational hybrid quantum-classical algorithms , 2015, 1509.04279.

[19]  Kristan Temme,et al.  Error Mitigation for Short-Depth Quantum Circuits. , 2016, Physical review letters.

[20]  Gorjan Alagic,et al.  #p , 2019, Quantum information & computation.

[21]  M. Yung,et al.  Quantum implementation of the unitary coupled cluster for simulating molecular electronic structure , 2015, 1506.00443.

[22]  J. Carter,et al.  Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States , 2016, 1603.05681.

[23]  S. Paesani,et al.  Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip. , 2017, Physical review letters.

[24]  J. Gambetta,et al.  Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets , 2017, Nature.

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

[26]  Alán Aspuru-Guzik,et al.  Quantum autoencoders for efficient compression of quantum data , 2016, 1612.02806.

[27]  Andrew M. Childs,et al.  Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision , 2015, SIAM J. Comput..

[28]  Ying Li,et al.  Efficient Variational Quantum Simulator Incorporating Active Error Minimization , 2016, 1611.09301.

[29]  T. Monz,et al.  Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator , 2018, Physical Review X.

[30]  R. Sarpong,et al.  Bio-inspired synthesis of xishacorenes A, B, and C, and a new congener from fuscol† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c9sc02572c , 2019, Chemical science.

[31]  J. Gambetta,et al.  Error mitigation extends the computational reach of a noisy quantum processor , 2018, Nature.

[32]  Tyson Jones,et al.  Quantum compilation and circuit optimisation via energy dissipation , 2018 .

[33]  J. McClean,et al.  Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz , 2017, Quantum Science and Technology.

[34]  José David Martín-Guerrero,et al.  Quantum autoencoders via quantum adders with genetic algorithms , 2017, Quantum Science and Technology.

[35]  Walter Vinci,et al.  Quantum variational autoencoder , 2018, Quantum Science and Technology.

[36]  J. O'Brien,et al.  Witnessing eigenstates for quantum simulation of Hamiltonian spectra , 2016, Science Advances.

[37]  Keisuke Fujii,et al.  Quantum circuit learning , 2018, Physical Review A.

[38]  Hartmut Neven,et al.  Classification with Quantum Neural Networks on Near Term Processors , 2018, 1802.06002.

[39]  Rupak Biswas,et al.  Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers , 2017, Quantum Science and Technology.

[40]  Jonathan Carter,et al.  Computation of Molecular Spectra on a Quantum Processor with an Error-Resilient Algorithm , 2018 .

[41]  T. O'Brien,et al.  Low-cost error mitigation by symmetry verification , 2018, Physical Review A.

[42]  Patrick J. Coles,et al.  Learning the quantum algorithm for state overlap , 2018, New Journal of Physics.

[43]  S. Benjamin,et al.  Practical Quantum Error Mitigation for Near-Future Applications , 2017, Physical Review X.

[44]  Ryan Babbush,et al.  Barren plateaus in quantum neural network training landscapes , 2018, Nature Communications.

[45]  Seth Lloyd,et al.  Quantum Generative Adversarial Learning. , 2018, Physical review letters.

[46]  A. Garcia-Saez,et al.  Addressing hard classical problems with Adiabatically Assisted Variational Quantum Eigensolvers , 2018, 1806.02287.

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

[48]  Daniel A. Lidar,et al.  Adiabatic quantum computation , 2016, 1611.04471.

[49]  Jaewoo Joo,et al.  Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience , 2018, Scientific Reports.

[50]  Kristan Temme,et al.  Supervised learning with quantum-enhanced feature spaces , 2018, Nature.

[51]  Tyson Jones,et al.  QuEST and High Performance Simulation of Quantum Computers , 2018, Scientific Reports.

[52]  Ying Li,et al.  Variational ansatz-based quantum simulation of imaginary time evolution , 2018, npj Quantum Information.

[53]  J. Biamonte.  Universal variational quantum computation , 2019, Physical Review A.

[54]  Simon Benjamin,et al.  Error-Mitigated Digital Quantum Simulation. , 2018, Physical review letters.

[55]  R. Somma,et al.  Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing. , 2018, Physical review letters.

[56]  Alejandro Perdomo-Ortiz,et al.  A generative modeling approach for benchmarking and training shallow quantum circuits , 2018, npj Quantum Information.

[57]  W. Hager,et al.  and s , 2019, Shallow Water Hydraulics.

[58]  P. Zoller,et al.  Self-verifying variational quantum simulation of lattice models , 2018, Nature.

[59]  Ken M. Nakanishi,et al.  Subspace variational quantum simulator , 2019, Physical Review Research.

[60]  Jonathan Romero,et al.  Low-depth circuit ansatz for preparing correlated fermionic states on a quantum computer , 2018, Quantum Science and Technology.

[61]  Ying Li,et al.  Mitigating algorithmic errors in a Hamiltonian simulation , 2018, Physical Review A.

[62]  Stacey Jeffery,et al.  The power of block-encoded matrix powers: improved regression techniques via faster Hamiltonian simulation , 2018, ICALP.

[63]  Harper R. Grimsley,et al.  An adaptive variational algorithm for exact molecular simulations on a quantum computer , 2018, Nature Communications.

[64]  S. Gray,et al.  Recovering noise-free quantum observables , 2018, Physical Review A.

[65]  Nathan Wiebe,et al.  Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics , 2018, STOC.

[66]  Alán Aspuru-Guzik,et al.  Quantum Chemistry in the Age of Quantum Computing. , 2018, Chemical reviews.

[67]  Ming-Cheng Chen,et al.  Demonstration of Adiabatic Variational Quantum Computing with a Superconducting Quantum Coprocessor. , 2019, Physical review letters.

[68]  Kunal Sharma,et al.  Noise resilience of variational quantum compiling , 2019, New Journal of Physics.

[69]  Y. Li,et al.  Variational Quantum Simulation of General Processes. , 2018, Physical review letters.

[70]  M. Yung,et al.  Low-Depth Hamiltonian Simulation by an Adaptive Product Formula. , 2020, Physical review letters.

[71]  Diego Garc'ia-Mart'in,et al.  Quantum singular value decomposer , 2019, 1905.01353.

[72]  Patrick J. Coles,et al.  Variational Quantum Linear Solver: A Hybrid Algorithm for Linear Systems , 2019, 1909.05820.

[73]  Xiao Yuan,et al.  Mitigating Realistic Noise in Practical Noisy Intermediate-Scale Quantum Devices , 2020, Physical Review Applied.

[74]  Patrick J. Coles,et al.  Variational Quantum State Eigensolver , 2020, 2004.01372.

[75]  Alán Aspuru-Guzik,et al.  Quantum computational chemistry , 2018, Reviews of Modern Physics.

[76]  J. Joo,et al.  Variational quantum algorithms for nonlinear problems , 2019, Physical Review A.

[77]  Danna Zhou,et al.  d. , 1840, Microbial pathogenesis.

[78]  P. Alam.  ‘W’ , 2021, Composites Engineering.

[79]  Overlapped grouping measurement: A unified framework for measuring quantum states , 2021, 2105.13091.

[80]  P. Hayden,et al.  Perturbative quantum simulation , 2021, 2106.05938.

[81]  Near-term quantum algorithms for linear systems of equations with regression loss functions , 2019, New Journal of Physics.

[82]  P. Alam.  ‘T’ , 2021, Composites Engineering: An A–Z Guide.

[83]  Xin Wang,et al.  Variational Quantum Singular Value Decomposition , 2020, Quantum.

[84]  Qi Zhao,et al.  Quantum Simulation with Hybrid Tensor Networks. , 2020, Physical review letters.

[85]  P. Alam.  ‘N’ , 2021, Composites Engineering: An A–Z Guide.

[86]  P. Alam,et al.  R , 1823, The Herodotus Encyclopedia.

[87]  Lin Lin,et al.  Quantum Linear System Solver Based on Time-optimal Adiabatic Quantum Computing and Quantum Approximate Optimization Algorithm , 2019, ACM Transactions on Quantum Computing.