Nonergodic Delocalized States for Efficient Population Transfer within a Narrow Band of the Energy Landscape
暂无分享,去创建一个
Hartmut Neven | Sergio Boixo | Vadim N. Smelyanskiy | Boris Altshuler | Sergei V. Isakov | H. Neven | V. Smelyanskiy | S. Boixo | S. Isakov | B. Altshuler | K. Kechedzhi | Konstyantyn Kechedzhi
[1] C. Porter,et al. "Repulsion of Energy Levels" in Complex Atomic Spectra , 1960 .
[2] A. Scardicchio,et al. Ergodic and localized regions in quantum spin glasses on the Bethe lattice , 2017, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[3] Andrew M. Childs,et al. Spatial search by quantum walk , 2003, quant-ph/0306054.
[4] Ryan Babbush,et al. What is the Computational Value of Finite Range Tunneling , 2015, 1512.02206.
[5] Masoud Mohseni,et al. Computational Role of Multiqubit Tunneling in a Quantum Annealer , 2015 .
[6] Jérémie Roland,et al. Anderson localization makes adiabatic quantum optimization fail , 2009, Proceedings of the National Academy of Sciences.
[7] V. E. Kravtsov,et al. A random matrix model with localization and ergodic transitions , 2015, 1508.01714.
[8] Daniel A. Lidar,et al. Evidence for quantum annealing with more than one hundred qubits , 2013, Nature Physics.
[9] P. Anderson,et al. A selfconsistent theory of localization , 1973 .
[10] S. Knysh,et al. Zero-temperature quantum annealing bottlenecks in the spin-glass phase , 2016, Nature Communications.
[11] P. Anderson. Absence of Diffusion in Certain Random Lattices , 1958 .
[12] K. Chung,et al. Limit Distributions for Sums of Independent Random Variables , 1955 .
[13] Anupam Garg. Application of the discrete Wentzel–Kramers–Brillouin method to spin tunneling , 1998 .
[14] A. Scardicchio,et al. Clustering of Nonergodic Eigenstates in Quantum Spin Glasses. , 2016, Physical review letters.
[15] R. Car,et al. Theory of Quantum Annealing of an Ising Spin Glass , 2002, Science.
[16] T. Tao. Topics in Random Matrix Theory , 2012 .
[17] A. Scardicchio,et al. Anderson localization on the Bethe lattice: nonergodicity of extended States. , 2014, Physical review letters.
[18] A. Scardicchio,et al. Many-body mobility edge in a mean-field quantum spin glass. , 2014, Physical review letters.
[19] F L Metz,et al. Localization transition in symmetric random matrices. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[20] Pearl Resnick. On the analytic structure of Green ’ s function for the Fano-Anderson model , 2008 .
[21] Antonello Scardicchio,et al. Many body localization transition in quantum spin glasses on the Bethe lattice , 2017 .
[22] Koujin Takeda,et al. Cavity approach to the spectral density of sparse symmetric random matrices. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[23] Jerzy Jurkiewicz,et al. Free random Lévy and Wigner-Lévy matrices. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[24] T. R. Kirkpatrick,et al. p-spin-interaction spin-glass models: Connections with the structural glass problem. , 1987, Physical review. B, Condensed matter.
[25] C. Laumann,et al. Quantum algorithm for energy matching in hard optimization problems , 2018, Physical Review B.
[26] Rosenbaum,et al. Quantum annealing of a disordered magnet , 1999, Science.
[27] Yang Sun,et al. Phase matching condition for quantum search with a generalized initial state , 2002 .
[28] H. Neven,et al. Understanding Quantum Tunneling through Quantum Monte Carlo Simulations. , 2015, Physical review letters.
[29] P. Anderson,et al. Application of statistical mechanics to NP-complete problems in combinatorial optimisation , 1986 .
[30] Dogan A. Timucin,et al. Dynamics of Quantum Adiabatic Evolution Algorithm for Number Partitioning , 2002, quant-ph/0202155.
[31] S. Prabakaran,et al. THE STATISTICAL MECHANICS OF FINANCIAL MARKETS , 2007 .
[32] Cecile Monthus,et al. Localization transition in random Lévy matrices: multifractality of eigenvectors in the localized phase and at criticality , 2016, 1606.03241.
[33] L. B. Ioffe,et al. Multifractal states in self-consistent theory of localization: analytical solution , 2016, 1610.00758.
[34] B. Derrida. Random-energy model: An exactly solvable model of disordered systems , 1981 .
[35] Alexander L. Efros,et al. Electronic Properties of Doped Semi-conductors , 1984 .
[36] M. Troyer,et al. Quantum versus classical annealing of Ising spin glasses , 2014, Science.
[37] A. Mirlin,et al. Anderson localization and ergodicity on random regular graphs , 2016, 1604.05353.
[38] M. Sipser,et al. Quantum Computation by Adiabatic Evolution , 2000, quant-ph/0001106.
[39] J. Bouchaud,et al. Theory of Lévy matrices. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[40] A. Mirlin,et al. Fractality of wave functions on a Cayley tree: Difference between tree and locally treelike graph without boundary , 2016, 1608.00331.
[41] Daniel A. Lidar,et al. Adiabatic quantum computation , 2016, 1611.04471.
[42] R. Varga. Geršgorin And His Circles , 2004 .
[43] Pierpaolo Vivo,et al. From non-ergodic eigenvectors to local resolvent statistics and back: A random matrix perspective , 2016, 1607.05942.
[44] M. Mézard,et al. Analytic and Algorithmic Solution of Random Satisfiability Problems , 2002, Science.
[45] A. Mirlin,et al. Multifractality of Wave Functions on a Cayley Tree: From Root to Leaves , 2017, 1708.04978.
[46] Edward Farhi,et al. Analog analogue of a digital quantum computation , 1996 .
[47] E. Farhi,et al. A Quantum Approximate Optimization Algorithm , 2014, 1411.4028.
[48] D. Huse,et al. Localization of interacting fermions at high temperature , 2006, cond-mat/0610854.
[49] L. Ioffe,et al. Non-ergodic extended phase of the Quantum Random Energy model , 2018, Annals of Physics.
[50] A. Scardicchio,et al. Support set of random wave-functions on the Bethe lattice , 2013, 1401.0019.
[51] H. Nishimori,et al. Quantum annealing in the transverse Ising model , 1998, cond-mat/9804280.
[52] Nicholas Chancellor,et al. Modernizing quantum annealing using local searches , 2016, 1606.06833.
[53] K. B. Whaley,et al. Effects of a random noisy oracle on search algorithm complexity , 2003, quant-ph/0304138.
[54] E. Farhi,et al. A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem , 2001, Science.
[55] Vadim N. Smelyanskiy,et al. On the relevance of avoided crossings away from quantum critical point to the complexity of quantum adiabatic algorithm , 2010, ArXiv.
[56] D. Basko,et al. Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states , 2005, cond-mat/0506617.
[57] S. Kirkpatrick,et al. Solvable Model of a Spin-Glass , 1975 .
[58] Goldschmidt. Solvable model of the quantum spin glass in a transverse field. , 1990, Physical review. B, Condensed matter.
[59] G. Biroli,et al. Level Statistics and Localization Transitions of Lévy Matrices. , 2015, Physical review letters.
[60] B L Altshuler,et al. Nonergodic Phases in Strongly Disordered Random Regular Graphs. , 2016, Physical review letters.
[61] Lov K. Grover. Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.
[62] A. Scardicchio,et al. The many-body localized phase of the quantum random energy model , 2015, 1509.08926.
[63] P. A. Braun. Discrete semiclassical methods in the theory of Rydberg atoms in external fields , 1993 .
[64] H. Neven,et al. Scaling analysis and instantons for thermally assisted tunneling and quantum Monte Carlo simulations , 2016, 1603.01293.
[65] Andrew M. Childs,et al. Quantum search by measurement , 2002, quant-ph/0204013.