메뉴 건너뛰기




Volumn 18, Issue 4, 2016, Pages

Computational principle and performance evaluation of coherent Ising machine based on degenerate optical parametric oscillator network

Author keywords

Coherent Ising machine; Combinatorial optimization; Degenerate optical parametric oscillator (DOPO)

Indexed keywords


EID: 84964490780     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e18040151     Document Type: Article
Times cited : (54)

References (42)
  • 2
    • 0001051761 scopus 로고
    • On the computational complexity of Ising spin glass models
    • Barahona, F.J. On the computational complexity of Ising spin glass models. Phys. A 1982, 15, 3241-3253
    • (1982) Phys. A , vol.15 , pp. 3241-3253
    • Barahona, F.J.1
  • 3
    • 0003037529 scopus 로고
    • Millera, R.E., Thatcher, J.W., Eds.; Plenum: New York, NY, USA
    • Karp, R.M. Complexity of Computer Computations; Millera, R.E., Thatcher, J.W., Eds.; Plenum: New York, NY, USA, 1972; pp. 85-103
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 5
    • 8844263008 scopus 로고    scopus 로고
    • Docking and scoring in virtual screening for drug discovery: Methods and applications
    • Kitchen, D.B.; Decornez, H.; Furr, J.R.; Bajorath, J. Docking and scoring in virtual screening for drug discovery: Methods and applications. Nat. Rev. Drug Discov. 2004, 3, 935-949
    • (2004) Nat. Rev. Drug Discov , vol.3 , pp. 935-949
    • Kitchen, D.B.1    Decornez, H.2    Furr, J.R.3    Bajorath, J.4
  • 7
    • 0002068485 scopus 로고
    • Finding the maximum cut in a graph
    • Orlova, G.I.; Dorfman, Y.G. Finding the maximum cut in a graph. Eng. Cybern. 1972, 10, 502-506
    • (1972) Eng. Cybern , vol.10 , pp. 502-506
    • Orlova, G.I.1    Dorfman, Y.G.2
  • 8
    • 0000120312 scopus 로고
    • Finding a Maximum Cut of a Planar Graph in Polynomial Time
    • Hadlock, F. Finding a Maximum Cut of a Planar Graph in Polynomial Time. SIAM J. Comput. 1975, 4, 221-225
    • (1975) SIAM J. Comput , vol.4 , pp. 221-225
    • Hadlock, F.1
  • 9
    • 0019627062 scopus 로고
    • Weakly bipartite graphs and the Max-cut problem
    • Grötschel, M.; Pulleyblank, W.R. Weakly bipartite graphs and the Max-cut problem. Oper. Res. Lett. 1981, 1, 23-27
    • (1981) Oper. Res. Lett , vol.1 , pp. 23-27
    • Grötschel, M.1    Pulleyblank, W.R.2
  • 10
    • 0021433036 scopus 로고
    • A polynomial algorithm for the max-cut problem on graphs without long odd cycles
    • Grötschel, M.; Nemhauser, G.L. A polynomial algorithm for the max-cut problem on graphs without long odd cycles. Math. Program. 1984, 29, 28-40
    • (1984) Math. Program , vol.29 , pp. 28-40
    • Grötschel, M.1    Nemhauser, G.L.2
  • 11
    • 0242372034 scopus 로고    scopus 로고
    • Optimization via enumeration: A new algorithm for the Max Cut Problem
    • Galluccio, A.; Loebl, M.; Vondrák, J. Optimization via enumeration: A new algorithm for the Max Cut Problem. Math. Program. 2001, 90, 273-290
    • (2001) Math. Program , vol.90 , pp. 273-290
    • Galluccio, A.1    Loebl, M.2    Vondrák, J.3
  • 12
    • 0032058198 scopus 로고    scopus 로고
    • Proof verification and the hardness of approximation problems
    • Arora, S.; Lund, C.; Motwani, R.; Sudan, M.; Szegedy, M. Proof verification and the hardness of approximation problems. J. ACM 1998, 45, 501-555
    • (1998) J. ACM , vol.45 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 13
    • 0000844603 scopus 로고    scopus 로고
    • Some optimal inapproximability results
    • Håstad, J. Some optimal inapproximability results. J. ACM 2001, 48, 798-859
    • (2001) J. ACM , vol.48 , pp. 798-859
    • Håstad, J.1
  • 14
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • Goemans, M.X.; Williamson, D.P. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. ACM 1995, 42, 1115-1145
    • (1995) J. ACM , vol.42 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 15
    • 26444479778 scopus 로고
    • Optimization by Simulated Annealing
    • Kirkpatrick, S.; Gelatt, C.D., Jr.; Vecchi, M.P. Optimization by Simulated Annealing. Science 1983, 220, 671-680
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 16
    • 0000071705 scopus 로고    scopus 로고
    • Quantum annealing in the transverse Ising model
    • Kadowaki, T.; Nishimori, H. Quantum annealing in the transverse Ising model. Phys. Rev. E 1998, 58, 5355-5363
    • (1998) Phys. Rev. E , vol.58 , pp. 5355-5363
    • Kadowaki, T.1    Nishimori, H.2
  • 17
    • 0037192472 scopus 로고    scopus 로고
    • Theory of Quantum Annealing of an Ising Spin Glass
    • Santoro, G.E.; Martoňák, R.; Tosatti, E.; Car, R. Theory of Quantum Annealing of an Ising Spin Glass. Science 2002, 295, 2427-2430
    • (2002) Science , vol.295 , pp. 2427-2430
    • Santoro, G.E.1    Martoňák, R.2    Tosatti, E.3    Car, R.4
  • 18
    • 0035917832 scopus 로고    scopus 로고
    • A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
    • Farhi, E.; Goldstone, J.; Gutmann, S.; Lapan, J.; Lundgren, A.; Preda, D. A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem. Science 2001, 292, 472-475
    • (2001) Science , vol.292 , pp. 472-475
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3    Lapan, J.4    Lundgren, A.5    Preda, D.6
  • 20
    • 56349168935 scopus 로고    scopus 로고
    • Adiabatic Quantum Computation Is Equivalent to Standard Quantum Computation
    • Aharonov, D.; van Dam, W.; Kempe, J.; Landau, Z.; Lloyd, S.; Regev, O. Adiabatic Quantum Computation Is Equivalent to Standard Quantum Computation. SIAM J. Comput. 2008, 50, 755-787
    • (2008) SIAM J. Comput , vol.50 , pp. 755-787
    • Aharonov, D.1    van Dam, W.2    Kempe, J.3    Landau, Z.4    Lloyd, S.5    Regev, O.6
  • 21
    • 0016973706 scopus 로고
    • P-Complete Approximation Problems
    • Sahni, S.; Gonzalez, T. P-Complete Approximation Problems. J. ACM 1976, 23, 555-565
    • (1976) J. ACM , vol.23 , pp. 555-565
    • Sahni, S.1    Gonzalez, T.2
  • 23
    • 84873994796 scopus 로고    scopus 로고
    • Breakout Local Search for the Max-Cutproblem
    • Benlic, U.; Hao, J.-K. Breakout Local Search for the Max-Cutproblem. Eng. Appl. Artif. Intel. 2013, 26, 1162-1173
    • (2013) Eng. Appl. Artif. Intel , vol.26 , pp. 1162-1173
    • Benlic, U.1    Hao, J.-K.2
  • 24
    • 80052738280 scopus 로고    scopus 로고
    • Mapping of Ising models onto injection-locked laser systems
    • Utsunomiya, S.; Takata, K.; Yamamoto, Y. Mapping of Ising models onto injection-locked laser systems. Opt. Express 2011, 19, 18091-18108
    • (2011) Opt. Express , vol.19 , pp. 18091-18108
    • Utsunomiya, S.1    Takata, K.2    Yamamoto, Y.3
  • 25
    • 84856487278 scopus 로고    scopus 로고
    • Transient time of an Ising machine based on injection-locked laser network
    • Takata, K.; Utsunomiya, S.; Yamamoto, Y. Transient time of an Ising machine based on injection-locked laser network. New J. Phys. 2012, 14, 013052-013073
    • (2012) New J. Phys , vol.14
    • Takata, K.1    Utsunomiya, S.2    Yamamoto, Y.3
  • 26
    • 84897828481 scopus 로고    scopus 로고
    • Data search by a coherent Ising machine based on an injection-locked laser network with gradual pumping or coupling
    • Takata, K.; Yamamoto, Y. Data search by a coherent Ising machine based on an injection-locked laser network with gradual pumping or coupling. Phys. Rev. A 2014, 89, 032319
    • (2014) Phys. Rev. A , vol.89
    • Takata, K.1    Yamamoto, Y.2
  • 28
    • 84891704203 scopus 로고    scopus 로고
    • Coherent Ising machine based on degenerate optical parametric oscillators
    • Wang, Z.; Marandi, A.; Wen, K.; Byer, R.L.; Yamamoto, Y. Coherent Ising machine based on degenerate optical parametric oscillators. Phys. Rev. A 2013, 88, 063853
    • (2013) Phys. Rev. A , vol.88
    • Wang, Z.1    Marandi, A.2    Wen, K.3    Byer, R.L.4    Yamamoto, Y.5
  • 29
    • 84927521169 scopus 로고    scopus 로고
    • Network of time-multiplexed optical parametric oscillators as a coherent Ising machine
    • Marandi, A.; Wang, Z.; Takata, K.; Byer, R.L.; Yamamoto, Y. Network of time-multiplexed optical parametric oscillators as a coherent Ising machine. Nat. Photon. 2014, 8, 937-942
    • (2014) Nat. Photon , vol.8 , pp. 937-942
    • Marandi, A.1    Wang, Z.2    Takata, K.3    Byer, R.L.4    Yamamoto, Y.5
  • 31
    • 84992291853 scopus 로고    scopus 로고
    • Large-scale Ising spin network based on degenerate optical parametric oscillator
    • in press
    • Inagaki, T. Large-scale Ising spin network based on degenerate optical parametric oscillator. Nat. Phys. 2016, in press
    • (2016) Nat. Phys
    • Inagaki, T.1
  • 32
    • 0001430134 scopus 로고
    • Generalised P-representations in quantum optics
    • Drummond, P.D.; Gardiner, C.W.J. Generalised P-representations in quantum optics. Phys. A 1980, 13, 2353-2368
    • (1980) Phys. A , vol.13 , pp. 2353-2368
    • Drummond, P.D.1    Gardiner, C.W.J.2
  • 33
    • 84944351084 scopus 로고    scopus 로고
    • Quantum correlation in degenerate optical parametric oscillators with mutual injections
    • Takata, K.; Marandi, A.; Yamamoto, Y. Quantum correlation in degenerate optical parametric oscillators with mutual injections. Phys. Rev. A 2015, 92, 043821
    • (2015) Phys. Rev. A , vol.92
    • Takata, K.1    Marandi, A.2    Yamamoto, Y.3
  • 34
    • 84964433014 scopus 로고    scopus 로고
    • Truncated Wigner theory of coherent Ising machines based on degenerate optical parametric oscillator network
    • in press
    • Maruo, D.; Utsunomiya, S.; Yamamoto, Y. Truncated Wigner theory of coherent Ising machines based on degenerate optical parametric oscillator network. Phys. Scripta 2016, in press
    • (2016) Phys. Scripta
    • Maruo, D.1    Utsunomiya, S.2    Yamamoto, Y.3
  • 35
    • 84862797618 scopus 로고
    • Non-equilibrium Transitions in Sub/Second Harmonic Generation II
    • Drummond, P.D.; McNeil, K.J.; Walls, D.F. Non-equilibrium Transitions in Sub/Second Harmonic Generation II. Quantum theory. Opt. Acta 1981, 28, 211-225
    • (1981) Quantum theory. Opt. Acta , vol.28 , pp. 211-225
    • Drummond, P.D.1    McNeil, K.J.2    Walls, D.F.3
  • 36
    • 25044456610 scopus 로고
    • Coherent and Incoherent States of the Radiation Field
    • Glauber, R.J. Coherent and Incoherent States of the Radiation Field. Phys. Rev. 1963, 131, doi:10.1103/PhysRev.131.2766
    • (1963) Phys. Rev , vol.131
    • Glauber, R.J.1
  • 38
    • 0001228717 scopus 로고
    • Quantum dynamics of the parametric oscillator Phys
    • Kinsler, P.; Drummond, P.D. Quantum dynamics of the parametric oscillator Phys. Rev. A 1991, 43, 6194-6208
    • (1991) Rev. A , vol.43 , pp. 6194-6208
    • Kinsler, P.1    Drummond, P.D.2
  • 40
    • 84946781998 scopus 로고    scopus 로고
    • Dynamically probing ultracold lattice gases via Rydberg molecules
    • Santra, S.; Quiroz, G.; Steeg, G.V.; Lidar, D.A. Dynamically probing ultracold lattice gases via Rydberg molecules. New J. Phys. 2015, 17, 103024
    • (2015) New J. Phys , vol.17
    • Santra, S.1    Quiroz, G.2    Steeg, G.V.3    Lidar, D.A.4
  • 41
    • 84937141373 scopus 로고    scopus 로고
    • Ising formulations of many NP problems
    • Lucas, A. Ising formulations of many NP problems. Front. Phys. 2014, 2, 5
    • (2014) Front. Phys , vol.2 , pp. 5
    • Lucas, A.1
  • 42
    • 84866056973 scopus 로고    scopus 로고
    • Finding low-energy conformations of lattice protein models by quantum annealing
    • Perdomo-Ortiz, A.; Dickson, N.; Drew-Brook, M.; Rose, G.; Aspuru-Guzik, A. Finding low-energy conformations of lattice protein models by quantum annealing. Sci. Rep. 2012, 2, doi:10.1038/srep00571
    • (2012) Sci. Rep , vol.2
    • Perdomo-Ortiz, A.1    Dickson, N.2    Drew-Brook, M.3    Rose, G.4    Aspuru-Guzik, A.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.