{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,26]],"date-time":"2026-06-26T01:09:56Z","timestamp":1782436196339,"version":"3.54.5"},"reference-count":77,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Electron."],"published-print":{"date-parts":[[2022,6,1]]},"DOI":"10.1587\/transele.2021sep0006","type":"journal-article","created":{"date-parts":[[2021,12,2]],"date-time":"2021-12-02T22:09:30Z","timestamp":1638482970000},"page":"283-289","source":"Crossref","is-referenced-by-count":11,"title":["Development of Quantum Annealer Using Josephson Parametric Oscillators"],"prefix":"10.1587","volume":"E105.C","author":[{"given":"Tomohiro","family":"YAMAJI","sequence":"first","affiliation":[{"name":"NEC Corporation"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Masayuki","family":"SHIRANE","sequence":"additional","affiliation":[{"name":"NEC Corporation"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tsuyoshi","family":"YAMAMOTO","sequence":"additional","affiliation":[{"name":"NEC Corporation"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"532","reference":[{"key":"1","unstructured":"[1] G.E. Moore, \u201cCramming more components onto integrated circuits,\u201d Electronics, vol.38, no.8, pp.114-117, 1965."},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] D. Deutsch and R. Jozsa, \u201cRapid solution of problems by quantum computation,\u201d Proc. R. Soc. Lond. A, vol.439, no.1907, pp.553-558, 1992. 10.1098\/rspa.1992.0167","DOI":"10.1098\/rspa.1992.0167"},{"key":"3","doi-asserted-by":"crossref","unstructured":"[3] T. Kadowaki and H. Nishimori, \u201cQuantum annealing in the transverse Ising model,\u201d Phys. Rev. E, vol.58, no.5, pp.5355-5363, Nov. 1998. 10.1103\/physreve.58.5355","DOI":"10.1103\/PhysRevE.58.5355"},{"key":"4","unstructured":"[4] E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, \u201cQuantum computation by adiabatic evolution,\u201d arXiv:0001106, 2000. 10.48550\/arXiv.quant-ph\/0001106"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, \u201cA quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem,\u201d Science, vol.292, no.5516, pp.472-475, 2001. 10.1126\/science.1057726","DOI":"10.1126\/science.1057726"},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] T. Albash and D.A. Lidar, \u201cAdiabatic quantum computation,\u201d Rev. Mod. Phys., vol.90, no.1, 015002, Jan. 2018. 10.1103\/revmodphys.90.015002","DOI":"10.1103\/RevModPhys.90.015002"},{"key":"7","doi-asserted-by":"crossref","unstructured":"[7] M.H. Devoret and R.J. Schoelkopf, \u201cSuperconducting circuits for quantum information: An outlook,\u201d Science, vol.339, no.6124, pp.1169-1174, March 2013. 10.1126\/science.1231930","DOI":"10.1126\/science.1231930"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] W.D. Oliver and P.B. Welander, \u201cMaterials in superconducting quantum bits,\u201d MRS Bulletin, vol.38, no.10, pp.816-825, 2013. 10.1557\/mrs.2013.229","DOI":"10.1557\/mrs.2013.229"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] J.M. Gambetta, J.M. Chow, and M. Steffen, \u201cBuilding logical qubits in a superconducting quantum computing system,\u201d Npj Quantum Inf., vol.3, 2, 2017. 10.1038\/s41534-016-0004-0","DOI":"10.1038\/s41534-016-0004-0"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] G. Wendin, \u201cQuantum information processing with superconducting circuits: A review,\u201d Rep. Prog. Phys, vol.80, no.10, 106001, 2017. 10.1088\/1361-6633\/aa7e1a","DOI":"10.1088\/1361-6633\/aa7e1a"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] J. Preskill, \u201cQuantum computing in the NISQ era and beyond,\u201d Quantum, vol.2, 79, Aug. 2018. 10.22331\/q-2018-08-06-79","DOI":"10.22331\/q-2018-08-06-79"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] F. Arute, K. Arya, R. Babbush, D. Bacon, J.C. Bardin, R. Barends, R. Biswas, S. Boixo, F.G.S.L. Brandao, D.A. Buell, B. Burkett, Y. Chen, Z. Chen, B. Chiaro, R. Collins, W. Courtney, A. Dunsworth, E. Farhi, B. Foxen, A. Fowler, C. Gidney, M. Giustina, R. Graff, K. Guerin, S. Habegger, M.P. Harrigan, M.J. Hartmann, A. Ho, M. Hoffmann, T. Huang, T.S. Humble, S.V. Isakov, E. Jeffrey, Z. Jiang, D. Kafri, K. Kechedzhi, J. Kelly, P.V. Klimov, S. Knysh, A. Korotkov, F. Kostritsa, D. Landhuis, M. Lindmark, E. Lucero, D. Lyakh, S. Mandr\u00e0, J.R. McClean, M. McEwen, A. Megrant, X. Mi, K. Michielsen, M. Mohseni, J. Mutus, O. Naaman, M. Neeley, C. Neill, M.Y. Niu, E. Ostby, A. Petukhov, J.C. Platt, C. Quintana, E.G. Rieffel, P. Roushan, N.C. Rubin, D. Sank, K.J. Satzinger, V. Smelyanskiy, K.J. Sung, M.D. Trevithick, A. Vainsencher, B. Villalonga, T. White, Z.J. Yao, P. Yeh, A. Zalcman, H. Neven, and J.M. Martinis, \u201cQuantum supremacy using a programmable superconducting processor,\u201d Nature, vol.574, no.7779, pp.505-510, 2019. 10.1038\/s41586-019-1666-5","DOI":"10.1038\/s41586-019-1666-5"},{"key":"13","unstructured":"[13] J. Preskill, \u201cQuantum computing and the entanglement frontier,\u201d arXiv:1203.5813, 2012. 10.48550\/arXiv.1203.5813"},{"key":"14","unstructured":"[14] P.W. Shor, \u201cAlgorithms for quantum computation: Discrete logarithms and factoring,\u201d Proc. 35th Annu. IEEE Symp. Found. Comput. Sci., pp.124-134, 1994. 10.1109\/sfcs.1994.365700"},{"key":"15","doi-asserted-by":"publisher","unstructured":"[15] A.G. Fowler, M. Mariantoni, J.M. Martinis, and A.N. Cleland, \u201cSurface codes: Towards practical large-scale quantum computation,\u201d Phys. Rev. A, vol.86, no.3, 032324, Sept. 2012. 10.1103\/physreva.86.032324","DOI":"10.1103\/PhysRevA.86.032324"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T.C. White, J. Mutus, A.G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O&apos;Malley, P. Roushan, A. Vainsencher, J. Wenner, A.N. Korotkov, A.N. Cleland, and J.M. Martinis, \u201cSuperconducting quantum circuits at the surface code threshold for fault tolerance,\u201d Nature, vol.508, no.7497, pp.500-503, 2014. 10.1038\/nature13171","DOI":"10.1038\/nature13171"},{"key":"17","doi-asserted-by":"crossref","unstructured":"[17] M.W. Johnson, M.H.S. Amin, S. Gildert, T. Lanting, F. Hamze, N. Dickson, R. Harris, A.J. Berkley, J. Johansson, P. Bunyk, E.M. Chapple, C. Enderud, J.P. Hilton, K. Karimi, E. Ladizinsky, N. Ladizinsky, T. Oh, I. Perminov, C. Rich, M.C. Thom, E. Tolkacheva, C.J.S. Truncik, S. Uchaikin, J. Wang, B. Wilson, and G. Rose, \u201cQuantum annealing with manufactured spins,\u201d Nature, vol.473, no.7346, pp.194-198, 2011. 10.1038\/nature10012","DOI":"10.1038\/nature10012"},{"key":"18","unstructured":"[18] A.D. King and W. Bernoudy, \u201cPerformance benefits of increased qubit connectivity in quantum annealing 3-dimensional spin glasses,\u201d arXiv:2009.12479, 2020. 10.48550\/arXiv.2009.12479"},{"key":"19","unstructured":"[19] S. Kawabata, N. Togawa, M. Shirane, and Y. Nakamura, \u201cOverview of NEDO projects on quantum annealing machines in Japan,\u201d Adiabatic Quantum Computing Conference (AQC 2021), Online, 2021."},{"key":"20","doi-asserted-by":"crossref","unstructured":"[20] M. Yamaoka, C. Yoshimura, M. Hayashi, T. Okuyama, H. Aoki, and H. Mizuno, \u201cA 20k-spin Ising chip to solve combinatorial optimization problems with CMOS annealing,\u201d IEEE J. Solid-State Circuits, vol.51, no.1, pp.303-309, 2016. 10.1109\/jssc.2015.2498601","DOI":"10.1109\/JSSC.2015.2498601"},{"key":"21","doi-asserted-by":"crossref","unstructured":"[21] S. Matsubara, H. Tamura, M. Takatsu, D. Yoo, B. Vatankhahghadim, H. Yamasaki, T. Miyazawa, S. Tsukamoto, Y. Watanabe, K. Takemoto, and A. Sheikholeslami, \u201cIsing-model optimizer with parallel-trial bit-sieve engine,\u201d Complex, Intelligent, and Software Intensive Systems, ed. L. Barolli and O. Terzo, Advances in Intelligent Systems and Computing, vol.611, pp.432-438, Springer International Publishing, Cham, 2018. 10.1007\/978-3-319-61566-0_39","DOI":"10.1007\/978-3-319-61566-0_39"},{"key":"22","doi-asserted-by":"publisher","unstructured":"[22] H. Goto, K. Tatsumura, and A.R. Dixon, \u201cCombinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems,\u201d Sci. Adv., vol.5, no.4, eaav2372, April 2019. 10.1126\/sciadv.aav2372","DOI":"10.1126\/sciadv.aav2372"},{"key":"23","doi-asserted-by":"crossref","unstructured":"[23] T. Inagaki, Y. Haribara, K. Igarashi, T. Sonobe, S. Tamate, T. Honjo, A. Marandi, P.L. McMahon, T. Umeki, K. Enbutsu, O. Tadanaga, H. Takenouchi, K. Aihara, K.i. Kawarabayashi, K. Inoue, S. Utsunomiya, and H. Takesue, \u201cA coherent Ising machine for 2000-node optimization problems,\u201d Science, vol.354, no.6312, pp.603-606, Oct. 2016. 10.1126\/science.aah4243","DOI":"10.1126\/science.aah4243"},{"key":"24","doi-asserted-by":"crossref","unstructured":"[24] Y. Nakamura, Y.A. Pashkin, and J.S. Tsai, \u201cCoherent control of macroscopic quantum states in a single-Cooper-pair box,\u201d Nature, vol.398, no.6730, pp.786-788, 1999. 10.1038\/19718","DOI":"10.1038\/19718"},{"key":"25","doi-asserted-by":"publisher","unstructured":"[25] D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M.H. Devoret, \u201cManipulating the quantum state of an electrical circuit,\u201d Science, vol.296, no.5569, pp.886-889, May 2002. 10.1126\/science.1069372","DOI":"10.1126\/science.1069372"},{"key":"26","doi-asserted-by":"publisher","unstructured":"[26] I. Chiorescu, Y. Nakamura, C.J.P.M. Harmans, and J.E. Mooij, \u201cCoherent quantum dynamics of a superconducting flux qubit,\u201d Science, vol.299, no.5614, pp.1869-1871, 2003. 10.1126\/science.1081045","DOI":"10.1126\/science.1081045"},{"key":"27","doi-asserted-by":"publisher","unstructured":"[27] T. Duty, D. Gunnarsson, K. Bladh, and P. Delsing, \u201cCoherent dynamics of a Josephson charge qubit,\u201d Phys. Rev. B, vol.69, no.14, 140503, April 2004. 10.1103\/PhysRevB.69.140503","DOI":"10.1103\/PhysRevB.69.140503"},{"key":"28","doi-asserted-by":"publisher","unstructured":"[28] A. Blais, R.-S. Huang, A. Wallraff, S.M. Girvin, and R.J. Schoelkopf, \u201cCavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation,\u201d Phys. Rev. A, vol.69, no.6, 062320, June 2004. 10.1103\/physreva.69.062320","DOI":"10.1103\/PhysRevA.69.062320"},{"key":"29","doi-asserted-by":"publisher","unstructured":"[29] I. Siddiqi, R. Vijay, M. Metcalfe, E. Boaknin, L. Frunzio, R.J. Schoelkopf, and M.H. Devoret, \u201cDispersive measurements of superconducting qubit coherence with a fast latching readout,\u201d Phys. Rev. B, vol.73, no.5, 054510, Feb. 2006. 10.1103\/physrevb.73.054510","DOI":"10.1103\/PhysRevB.73.054510"},{"key":"30","doi-asserted-by":"publisher","unstructured":"[30] P. Krantz, M. Kjaergaard, F. Yan, T.P. Orlando, S. Gustavsson, and W.D. Oliver, \u201cA quantum engineer&apos;s guide to superconducting qubits,\u201d Appl. Phys. Rev., vol.6, no.2, 021318, June 2019. 10.1063\/1.5089550","DOI":"10.1063\/1.5089550"},{"key":"31","doi-asserted-by":"publisher","unstructured":"[31] E.T. Jaynes and F.W. Cummings, \u201cComparison of quantum and semiclassical radiation theories with application to the beam maser,\u201d Proc. IEEE, vol.51, no.1, pp.89-109, 1963. 10.1109\/proc.1963.1664","DOI":"10.1109\/PROC.1963.1664"},{"key":"32","doi-asserted-by":"publisher","unstructured":"[32] A. Wallraff, D.I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S.M. Girvin, and R.J. Schoelkopf, \u201cStrong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics,\u201d Nature, vol.431, no.7005, pp.162-167, 2004. 10.1038\/nature02851","DOI":"10.1038\/nature02851"},{"key":"33","doi-asserted-by":"publisher","unstructured":"[33] E.A. Thol\u00e9n, A. Erg\u00fcl, E.M. Doherty, F.M. Weber, F. Gr\u00e9gis, and D.B. Haviland, \u201cNonlinearities and parametric amplification in superconducting coplanar waveguide resonators,\u201d Appl. Phys. Lett., vol.90, no.25, 253509, June 2007. 10.1063\/1.2750520","DOI":"10.1063\/1.2750520"},{"key":"34","doi-asserted-by":"publisher","unstructured":"[34] M.A. Castellanos-Beltran and K.W. Lehnert, \u201cWidely tunable parametric amplifier based on a superconducting quantum interference device array resonator,\u201d Appl. Phys. Lett., vol.91, no.8, 083509, Aug. 2007. 10.1063\/1.2773988","DOI":"10.1063\/1.2773988"},{"key":"35","doi-asserted-by":"publisher","unstructured":"[35] T. Yamamoto, K. Inomata, M. Watanabe, K. Matsuba, T. Miyazaki, W.D. Oliver, Y. Nakamura, and J.S. Tsai, \u201cFlux-driven Josephson parametric amplifier,\u201d Appl. Phys. Lett., vol.93, no.4, 042510, July 2008. 10.1063\/1.2964182","DOI":"10.1063\/1.2964182"},{"key":"36","doi-asserted-by":"publisher","unstructured":"[36] N. Bergeal, R. Vijay, V.E. Manucharyan, I. Siddiqi, R.J. Schoelkopf, S.M. Girvin, and M.H. Devoret, \u201cAnalog information processing at the quantum limit with a Josephson ring modulator,\u201d Nat. Phys., vol.6, no.4, pp.296-302, 2010. 10.1038\/nphys1516","DOI":"10.1038\/nphys1516"},{"key":"37","doi-asserted-by":"publisher","unstructured":"[37] M.A. Castellanos-Beltran, K.D. Irwin, G.C. Hilton, L.R. Vale, and K.W. Lehnert, \u201cAmplification and squeezing of quantum noise with a tunable Josephson metamaterial,\u201d Nat. Phys., vol.4, no.12, pp.929-931, 2008. 10.1038\/nphys1090","DOI":"10.1038\/nphys1090"},{"key":"38","doi-asserted-by":"publisher","unstructured":"[38] H. Zimmer, \u201cParametric amplification of microwaves in superconducting Josephson tunnel junctions,\u201d Appl. Phys. Lett., vol.10, no.7, pp.193-195, April 1967. 10.1063\/1.1754906","DOI":"10.1063\/1.1754906"},{"key":"39","doi-asserted-by":"publisher","unstructured":"[39] M. Feldman and M. Levinsen, \u201cTheories of the noise rise in Josephson paramps,\u201d IEEE Trans. Magn., vol.17, no.1, pp.834-837, 1981. 10.1109\/tmag.1981.1060895","DOI":"10.1109\/TMAG.1981.1060895"},{"key":"40","doi-asserted-by":"publisher","unstructured":"[40] R. Movshovich, B. Yurke, P.G. Kaminsky, A.D. Smith, A.H. Silver, R.W. Simon, and M.V. Schneider, \u201cObservation of zero-point noise squeezing via a Josephson-parametric amplifier,\u201d Phys. Rev. Lett., vol.65, no.12, pp.1419-1422, Sept. 1990. 10.1103\/physrevlett.65.1419","DOI":"10.1103\/PhysRevLett.65.1419"},{"key":"41","doi-asserted-by":"publisher","unstructured":"[41] J.D. Teufel, T. Donner, M.A. Castellanos-Beltran, J.W. Harlow, and K.W. Lehnert, \u201cNanomechanical motion measured with an imprecision below that at the standard quantum limit,\u201d Nat. Nanotechnol., vol.4, no.12, pp.820-823, 2009. 10.1038\/nnano.2009.343","DOI":"10.1038\/nnano.2009.343"},{"key":"42","doi-asserted-by":"publisher","unstructured":"[42] R. Vijay, D.H. Slichter, and I. Siddiqi, \u201cObservation of quantum jumps in a superconducting artificial atom,\u201d Phys. Rev. Lett., vol.106, no.11, 110502, March 2011. 10.1103\/PhysRevLett.106.110502","DOI":"10.1103\/PhysRevLett.106.110502"},{"key":"43","doi-asserted-by":"publisher","unstructured":"[43] F. Mallet, M.A. Castellanos-Beltran, H.S. Ku, S. Glancy, E. Knill, K.D. Irwin, G.C. Hilton, L.R. Vale, and K.W. Lehnert, \u201cQuantum state tomography of an itinerant squeezed microwave field,\u201d Phys. Rev. Lett., vol.106, no.22, 220502, June 2011. 10.1103\/PhysRevLett.106.220502","DOI":"10.1103\/PhysRevLett.106.220502"},{"key":"44","doi-asserted-by":"publisher","unstructured":"[44] E.P. Menzel, R. Di Candia, F. Deppe, P. Eder, L. Zhong, M. Ihmig, M. Haeberlein, A. Baust, E. Hoffmann, D. Ballester, K. Inomata, T. Yamamoto, Y. Nakamura, E. Solano, A. Marx, and R. Gross, \u201cPath entanglement of continuous-variable quantum microwaves,\u201d Phys. Rev. Lett., vol.109, no.25, 250502, Dec. 2012. 10.1103\/PhysRevLett.109.250502","DOI":"10.1103\/PhysRevLett.109.250502"},{"key":"45","doi-asserted-by":"publisher","unstructured":"[45] E. Jeffrey, D. Sank, J.Y. Mutus, T.C. White, J. Kelly, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Megrant, P.J.J. O&apos;Malley, C. Neill, P. Roushan, A. Vainsencher, J. Wenner, A.N. Cleland, and J.M. Martinis, \u201cFast accurate state measurement with superconducting qubits,\u201d Phys. Rev. Lett., vol.112, no.19, 190504, May 2014. 10.1103\/PhysRevLett.112.190504","DOI":"10.1103\/PhysRevLett.112.190504"},{"key":"46","doi-asserted-by":"publisher","unstructured":"[46] J.Y. Mutus, T.C. White, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, E. Jeffrey, J. Kelly, A. Megrant, C. Neill, P.J.J. O&apos;Malley, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, K.M. Sundqvist, A.N. Cleland, and J.M. Martinis, \u201cStrong environmental coupling in a Josephson parametric amplifier,\u201d Appl. Phys. Lett., vol.104, no.26, 263513, June 2014. 10.1063\/1.4886408","DOI":"10.1063\/1.4886408"},{"key":"47","doi-asserted-by":"publisher","unstructured":"[47] B.H. Eom, P.K. Day, H.G. LeDuc, and J. Zmuidzinas, \u201cA wideband, low-noise superconducting amplifier with high dynamic range,\u201d Nat. Phys., vol.8, no.8, pp.623-627, 2012. 10.1038\/nphys2356","DOI":"10.1038\/nphys2356"},{"key":"48","doi-asserted-by":"crossref","unstructured":"[48] C. Macklin, K. O&apos;Brien, D. Hover, M.E. Schwartz, V. Bolkhovsky, X. Zhang, W.D. Oliver, and I. Siddiqi, \u201cA near-quantum-limited Josephson traveling-wave parametric amplifier,\u201d Science, vol.350, no.6258, pp.307-310, 2015. 10.1126\/science.aaa8525","DOI":"10.1126\/science.aaa8525"},{"key":"49","doi-asserted-by":"publisher","unstructured":"[49] B. Abdo, K. Sliwa, L. Frunzio, and M. Devoret, \u201cDirectional amplification with a Josephson circuit,\u201d Phys. Rev. X, vol.3, no.3, 031001, July 2013. 10.1103\/PhysRevX.3.031001","DOI":"10.1103\/PhysRevX.3.031001"},{"key":"50","doi-asserted-by":"crossref","unstructured":"[50] T. Yamamoto, K. Koshino, and Y. Nakamura, \u201cParametric amplifier and oscillator based on Josephson junction circuitry,\u201d Principles and Methods of Quantum Information Technologies, ed. Y. Yamamoto and K. Semba, Lecture Notes in Physics, vol.911, pp.495-513, Springer Japan, Tokyo, 2016. 10.1007\/978-4-431-55756-2_23","DOI":"10.1007\/978-4-431-55756-2_23"},{"key":"51","doi-asserted-by":"publisher","unstructured":"[51] C.M. Wilson, T. Duty, M. Sandberg, F. Persson, V. Shumeiko, and P. Delsing, \u201cPhoton generation in an electromagnetic cavity with a time-dependent boundary,\u201d Phys. Rev. Lett., vol.105, no.23, 233907, Dec. 2010. 10.1103\/PhysRevLett.105.233907","DOI":"10.1103\/PhysRevLett.105.233907"},{"key":"52","doi-asserted-by":"publisher","unstructured":"[52] Z.R. Lin, K. Inomata, K. Koshino, W.D. Oliver, Y. Nakamura, J.S. Tsai, and T. Yamamoto, \u201cJosephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits,\u201d Nat. Commun., vol.5, no.1, 4480, 2014. 10.1038\/ncomms5480","DOI":"10.1038\/ncomms5480"},{"key":"53","doi-asserted-by":"publisher","unstructured":"[53] K. Inomata, Z. Lin, K. Koshino, W.D. Oliver, J.S. Tsai, T. Yamamoto, and Y. Nakamura, \u201cSingle microwave-photon detector using an artificial \u039b-type three-level system,\u201d Nat. Commun., vol.7, no.1, 12303, 2016. 10.1038\/ncomms12303","DOI":"10.1038\/ncomms12303"},{"key":"54","doi-asserted-by":"publisher","unstructured":"[54] E. Goto, \u201cThe parametron, a digital computing element which utilizes parametric oscillation,\u201d Proc. IRE, vol.47, no.8, pp.1304-1316, 1959. 10.1109\/jrproc.1959.287195","DOI":"10.1109\/JRPROC.1959.287195"},{"key":"55","doi-asserted-by":"publisher","unstructured":"[55] S.E. Harris, \u201cTunable optical parametric oscillators,\u201d Proc. IEEE, vol.57, no.12, pp.2096-2113, 1969. 10.1109\/proc.1969.7495","DOI":"10.1109\/PROC.1969.7495"},{"key":"56","doi-asserted-by":"publisher","unstructured":"[56] L.E. Myers, R.C. Eckardt, M.M. Fejer, R.L. Byer, W.R. Bosenberg, and J.W. Pierce, \u201cQuasi-phase-matched optical parametric oscillators in bulk periodically poled LiNbO<sub>3<\/sub>,\u201d J. Opt. Soc. Am. B, vol.12, no.11, pp.2102-2116, Nov. 1995. 10.1364\/josab.12.002102","DOI":"10.1364\/JOSAB.12.002102"},{"key":"57","doi-asserted-by":"publisher","unstructured":"[57] H. Goto, \u201cQuantum computation based on quantum adiabatic bifurcations of Kerr-nonlinear parametric oscillators,\u201d J. Phys. Soc. Japan, vol.88, no.6, 061015, 2019. 10.7566\/JPSJ.88.061015","DOI":"10.7566\/JPSJ.88.061015"},{"key":"58","doi-asserted-by":"publisher","unstructured":"[58] H. Goto, Z. Lin, T. Yamamoto, and Y. Nakamura, \u201cOn-demand generation of traveling cat states using a parametric oscillator,\u201d Phys. Rev. A, vol.99, no.2, 023838, Feb. 2019. 10.1103\/PhysRevA.99.023838","DOI":"10.1103\/PhysRevA.99.023838"},{"key":"59","doi-asserted-by":"publisher","unstructured":"[59] S. Puri, S. Boutin, and A. Blais, \u201cEngineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving,\u201d Npj Quantum Inf., vol.3, no.1, 18, 2017. 10.1038\/s41534-017-0019-1","DOI":"10.1038\/s41534-017-0019-1"},{"key":"60","doi-asserted-by":"publisher","unstructured":"[60] H. Goto, \u201cBifurcation-based adiabatic quantum computation with a nonlinear oscillator network,\u201d Sci. Rep., vol.6, no.1, 21686, 2016. 10.1038\/srep21686","DOI":"10.1038\/srep21686"},{"key":"61","doi-asserted-by":"publisher","unstructured":"[61] S.E. Nigg, N. L\u00f6rch, and R.P. Tiwari, \u201cRobust quantum optimizer with full connectivity,\u201d Sci. Adv., vol.3, no.4, e1602273, 2017. 10.1126\/sciadv.1602273","DOI":"10.1126\/sciadv.1602273"},{"key":"62","doi-asserted-by":"publisher","unstructured":"[62] S. Puri, C.K. Andersen, A.L. Grimsmo, and A. Blais, \u201cQuantum annealing with all-to-all connected nonlinear oscillators,\u201d Nat. Commun., vol.8, no.1, 15785, 2017. 10.1038\/ncomms15785","DOI":"10.1038\/ncomms15785"},{"key":"63","doi-asserted-by":"publisher","unstructured":"[63] P. Zhao, Z. Jin, P. Xu, X. Tan, H. Yu, and Y. Yu, \u201cTwo-photon driven Kerr resonator for quantum annealing with three-dimensional circuit QED,\u201d Phys. Rev. Applied, vol.10, no.2, 024019, Aug. 2018. 10.1103\/PhysRevApplied.10.024019","DOI":"10.1103\/PhysRevApplied.10.024019"},{"key":"64","doi-asserted-by":"publisher","unstructured":"[64] T. Onodera, E. Ng, and P.L. McMahon, \u201cA quantum annealer with fully programmable all-to-all coupling via Floquet engineering,\u201d Npj Quantum Inf., vol.6, no.1, 48, 2020. 10.1038\/s41534-020-0279-z","DOI":"10.1038\/s41534-020-0279-z"},{"key":"65","doi-asserted-by":"publisher","unstructured":"[65] H. Goto, \u201cUniversal quantum computation with a nonlinear oscillator network,\u201d Phys. Rev. A, vol.93, no.5, 050301, May 2016. 10.1103\/PhysRevA.93.050301","DOI":"10.1103\/PhysRevA.93.050301"},{"key":"66","doi-asserted-by":"publisher","unstructured":"[66] S. Puri, L. St-Jean, J.A. Gross, A. Grimm, N.E. Frattini, P.S. Iyer, A. Krishna, S. Touzard, L. Jiang, A. Blais, S.T. Flammia, and S.M. Girvin, \u201cBias-preserving gates with stabilized cat qubits,\u201d Sci. Adv., vol.6, no.34, eaay5901, 2020. 10.1126\/sciadv.aay5901","DOI":"10.1126\/sciadv.aay5901"},{"key":"67","doi-asserted-by":"publisher","unstructured":"[67] H. Goto, Z. Lin, and Y. Nakamura, \u201cBoltzmann sampling from the Ising model using quantum heating of coupled nonlinear oscillators,\u201d Sci. Rep., vol.8, no.1, 7154, 2018. 10.1038\/s41598-018-25492-8","DOI":"10.1038\/s41598-018-25492-8"},{"key":"68","doi-asserted-by":"publisher","unstructured":"[68] M.I. Dykman, C. Bruder, N. L\u00f6rch, and Y. Zhang, \u201cInteraction-induced time-symmetry breaking in driven quantum oscillators,\u201d Phys. Rev. B, vol.98, no.19, 195444, Nov. 2018. 10.1103\/PhysRevB.98.195444","DOI":"10.1103\/PhysRevB.98.195444"},{"key":"69","doi-asserted-by":"publisher","unstructured":"[69] R. Rota, F. Minganti, C. Ciuti, and V. Savona, \u201cQuantum critical regime in a quadratically driven nonlinear photonic lattice,\u201d Phys. Rev. Lett., vol.122, no.11, 110405, March 2019. 10.1103\/PhysRevLett.122.110405","DOI":"10.1103\/PhysRevLett.122.110405"},{"key":"70","doi-asserted-by":"publisher","unstructured":"[70] Z. Wang, M. Pachal, E.A. Wollback, P. Arrangoiz-Arriola, M. Gao, N.R. Lee, and A.H. Safavi-Naeini, \u201cQuantum dynamics of a few-photon parametric oscillator,\u201d Phys. Rev. X, vol.9, no.2, 021049, 2019. 10.1103\/PhysRevX.9.021049","DOI":"10.1103\/PhysRevX.9.021049"},{"key":"71","doi-asserted-by":"publisher","unstructured":"[71] A. Grimm, N.E. Frattini, S. Puri, S.O. Mundhada, S. Touzard, M. Mirrahimi, S.M. Girvin, S. Shankar, and M.H. Devoret, \u201cStabilization and operation of a Kerr-cat qubit,\u201d Nature, vol.584, no.7820, pp.205-209, 2020. 10.1038\/s41586-020-2587-z","DOI":"10.1038\/s41586-020-2587-z"},{"key":"72","doi-asserted-by":"publisher","unstructured":"[72] T. Yamaji, S. Kagami, A. Yamaguchi, T. Satoh, K. Koshino, H. Goto, Z.R. Lin, Y. Nakamura, and T. Yamamoto, \u201cSpectroscopic observation of the crossover from a classical Duffing oscillator to a Kerr parametric oscillator,\u201d Phys. Rev. A, vol.105, 023519, 2022. 10.1103\/PhysRevA.105.023519","DOI":"10.1103\/PhysRevA.105.023519"},{"key":"73","unstructured":"[73] H. Neven, V.S. Denchev, M. Drew-Brook, J. Zhang, W.G. Macready, and G. Rose, \u201cNIPS 2009 demonstration: Binary classification using hardware implementation of quantum annealing,\u201d Tech. Rep., 2009."},{"key":"74","unstructured":"[74] N. Dattani, S. Szalay, and N. Chancellor, \u201cPegasus: The second connectivity graph for large-scale quantum annealing hardware,\u201d arXiv:1901.07636, 2019. 10.48550\/arXiv.1901.07636"},{"key":"75","doi-asserted-by":"crossref","unstructured":"[75] S. Zbinden, A. B\u00e4rtschi, H. Djidjev, and S. Eidenbenz, \u201cEmbedding algorithms for quantum annealers with Chimera and Pegasus connection topologies,\u201d High Performance Computing, ed. P. Sadayappan, B.L. Chamberlain, G. Juckeland, and H. Ltaief, Lecture Notes in Computer Science, vol.12151, pp.187-206, Springer International Publishing, Cham, 2020. 10.1007\/978-3-030-50743-5_10","DOI":"10.1007\/978-3-030-50743-5_10"},{"key":"76","doi-asserted-by":"publisher","unstructured":"[76] S. Okada, M. Ohzeki, M. Terabe, and S. Taguchi, \u201cImproving solutions by embedding larger subproblems in a D-Wave quantum annealer,\u201d Sci. Rep., vol.9, no.1, 2098, 2019. 10.1038\/s41598-018-38388-4","DOI":"10.1038\/s41598-018-38388-4"},{"key":"77","doi-asserted-by":"publisher","unstructured":"[77] W. Lechner, P. Hauke, and P. Zoller, \u201cA quantum annealing architecture with all-to-all connectivity from local interactions,\u201d Sci. Adv., vol.1, no.9, e1500838, Oct. 2015. 10.1126\/sciadv.1500838","DOI":"10.1126\/sciadv.1500838"}],"container-title":["IEICE Transactions on Electronics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E105.C\/6\/E105.C_2021SEP0006\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,4]],"date-time":"2022-06-04T04:14:29Z","timestamp":1654316069000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E105.C\/6\/E105.C_2021SEP0006\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,1]]},"references-count":77,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.1587\/transele.2021sep0006","relation":{},"ISSN":["0916-8524","1745-1353"],"issn-type":[{"value":"0916-8524","type":"print"},{"value":"1745-1353","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,1]]},"article-number":"2021SEP0006"}}