Quantum annealing for systems of polynomial equations
暂无分享,去创建一个
Travis S. Humble | Chia Cheng Chang | Arjun Gambhir | Shigetoshi Sota | S. Sota | T. Humble | A. Gambhir | Chia-Cheng Chang
[1] Andreas Stathopoulos,et al. Extending the eigCG algorithm to non-symmetric linear systems with multiple right-hand sides , 2009, 0911.2285.
[2] D. Brandt,et al. Multi-level adaptive solutions to boundary-value problems math comptr , 1977 .
[3] J. Biamonte. Non−perturbative k−body to two−body commuting conversion Hamiltonians and embedding problem instances into Ising spins , 2008, 0801.3800.
[4] B. Chakrabarti,et al. Colloquium : Quantum annealing and analog quantum computation , 2008, 0801.2193.
[5] E. Farhi,et al. A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem , 2001, Science.
[6] H. Nishimori,et al. Quantum annealing in the transverse Ising model , 1998, cond-mat/9804280.
[7] A. Harrow,et al. Quantum algorithm for linear systems of equations. , 2008, Physical review letters.
[8] Travis S. Humble,et al. An integrated programming and development environment for adiabatic quantum optimization , 2013, 1309.3575.
[9] Endre Boros,et al. Pseudo-Boolean optimization , 2002, Discret. Appl. Math..
[10] Helmut G. Katzgraber,et al. A deceptive step towards quantum speedup detection , 2017, Quantum Science and Technology.
[11] Endre Boros,et al. On quadratization of pseudo-Boolean functions , 2012, ISAIM.
[12] M. A. Clark,et al. A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics , 2018, Nature.
[13] Helmut G. Katzgraber,et al. Chaos in spin glasses revealed through thermal boundary conditions , 2015, 1505.06222.
[14] M. Sipser,et al. Quantum Computation by Adiabatic Evolution , 2000, quant-ph/0001106.
[15] Bálint Joó,et al. Accelerating Lattice QCD Multigrid on GPUs Using Fine-Grained Parallelization , 2016, SC16: International Conference for High Performance Computing, Networking, Storage and Analysis.
[16] Nikesh S. Dattani,et al. Quadratization in discrete optimization and quantum mechanics , 2019, ArXiv.
[17] Ming-Cheng Chen,et al. Solving Systems of Linear Equations with a Superconducting Quantum Processor. , 2017, Physical review letters.
[18] Vicky Choi,et al. Minor-embedding in adiabatic quantum computation: I. The parameter setting problem , 2008, Quantum Inf. Process..
[19] M. W. Johnson,et al. Thermally assisted quantum annealing of a 16-qubit problem , 2013, Nature Communications.
[20] A. FROMMER,et al. Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson-Dirac Operator , 2013, SIAM J. Sci. Comput..
[21] Ray,et al. Sherrington-Kirkpatrick model in a transverse field: Absence of replica symmetry breaking due to quantum fluctuations. , 1989, Physical review. B, Condensed matter.
[22] Samuel J. Lomonaco,et al. Analyzing the Quantum Annealing Approach for Solving Linear Least Squares Problems , 2018, WALCOM.
[23] Travis S. Humble,et al. Adiabatic quantum programming: minor embedding with hard faults , 2012, Quantum Information Processing.
[24] D. Averin,et al. Decoherence in adiabatic quantum computation , 2007, 0708.0384.
[25] John B. Shoven,et al. I , Edinburgh Medical and Surgical Journal.
[26] R. Somma,et al. Quantum algorithms for linear systems of equations inspired by adiabatic quantum computing , 2018 .
[27] Ryan Babbush,et al. What is the Computational Value of Finite Range Tunneling , 2015, 1512.02206.
[28] R C Brower,et al. Adaptive multigrid algorithm for lattice QCD. , 2007, Physical review letters.
[29] Firas Hamze,et al. Glassy Chimeras could be blind to quantum speedup: Designing better benchmarks for quantum annealing machines , 2014, 1401.1546.
[30] Guilu Long,et al. Experimental realization of quantum algorithms for a linear system inspired by adiabatic quantum computing , 2018, Physical Review A.
[31] Alejandro Perdomo-Ortiz,et al. Strengths and weaknesses of weak-strong cluster problems: A detailed overview of state-of-the-art classical heuristics versus quantum approaches , 2016, 1604.01746.
[32] M. Luscher. Local coherence and deflation of the low quark modes in lattice QCD , 2007, 0706.2298.
[33] R. Somma,et al. Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing. , 2018, Physical review letters.
[34] N. Dattani,et al. Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 1: The "deduc-reduc" method and its application to quantum factorization of numbers , 2015, ArXiv.
[35] Richard Tanburn,et al. Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 1: The "deduc-reduc" method and its application to quantum factorization of numbers , 2015, ArXiv.
[36] Hidetoshi Nishimori,et al. Retrieving the ground state of spin glasses using thermal noise: Performance of quantum annealing at finite temperatures. , 2016, Physical review. E.
[37] Johanna S. Hardin,et al. A method for generating realistic correlation matrices , 2011, 1106.5834.
[38] Daniel A. Lidar,et al. Defining and detecting quantum speedup , 2014, Science.
[39] Daniel A. Lidar,et al. Decoherence in adiabatic quantum computation , 2015, 1503.08767.
[40] Andreas Stathopoulos,et al. Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics , 2007, SIAM J. Sci. Comput..
[41] Eleanor G. Rieffel,et al. Thermalization, Freeze-out, and Noise: Deciphering Experimental Quantum Annealers , 2017, 1703.03902.
[42] N. Dattani,et al. Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 2: The"split-reduc"method and its application to quantum determination of Ramsey numbers , 2015, 1508.07190.
[43] A. Stathopoulos,et al. Computing and deflating eigenvalues while solving multiple right hand side linear systems in Quantum Chromodynamics , 2008 .