Stable quantum-correlated many-body states through engineered dissipation.

X Mi, A A Michailidis, S Shabani, K C Miao, P V Klimov, J Lloyd, E Rosenberg, R Acharya, I Aleiner, T I Andersen, M Ansmann, F Arute, K Arya, A Asfaw, J Atalaya, J C Bardin, A Bengtsson, G Bortoli, A Bourassa, J Bovaird, L Brill, M Broughton, B B Buckley, D A Buell, T Burger, B Burkett, N Bushnell, Z Chen, B Chiaro, D Chik, C Chou, J Cogan, R Collins, P Conner, W Courtney, A L Crook, B Curtin, A G Dau, D M Debroy, A Del Toro Barba, S Demura, A Di Paolo, I K Drozdov, A Dunsworth, C Erickson, L Faoro, E Farhi, R Fatemi, V S Ferreira, L F Burgos, E Forati, A G Fowler, B Foxen, É Genois, W Giang, C Gidney, D Gilboa, M Giustina, R Gosula, J A Gross, S Habegger, M C Hamilton, M Hansen, M P Harrigan, S D Harrington, P Heu, M R Hoffmann, S Hong, T Huang, A Huff, W J Huggins, L B Ioffe, S V Isakov, J Iveland, E Jeffrey, Z Jiang, C Jones, P Juhas, D Kafri, K Kechedzhi, T Khattar, M Khezri, M Kieferová, S Kim, A Kitaev, A R Klots, A N Korotkov, F Kostritsa, J M Kreikebaum, D Landhuis, P Laptev, K-M Lau, L Laws, J Lee, K W Lee, Y D Lensky, B J Lester, A T Lill, W Liu, A Locharla, F D Malone, O Martin, J R McClean, M McEwen, A Mieszala, S Montazeri, A Morvan, R Movassagh, W Mruczkiewicz, M Neeley, C Neill, A Nersisyan, M Newman, J H Ng, A Nguyen, M Nguyen, M Y Niu, T E O'Brien, A Opremcak, A Petukhov, R Potter, L P Pryadko, C Quintana, C Rocque, N C Rubin, N Saei, D Sank, K Sankaragomathi, K J Satzinger, H F Schurkus, C Schuster, M J Shearn, A Shorter, N Shutty, V Shvarts, J Skruzny, W C Smith, R Somma, G Sterling, D Strain, M Szalay, A Torres, G Vidal, B Villalonga, C V Heidweiller, T White, B W K Woo, C Xing, Z J Yao, P Yeh, J Yoo, G Young, A Zalcman, Y Zhang, N Zhu, N Zobrist, H Neven, R Babbush, D Bacon, S Boixo, J Hilton, E Lucero, A Megrant, J Kelly, Y Chen, P Roushan, V Smelyanskiy, D A Abanin
Author Information
  1. X Mi: Google Research, Mountain View, CA, USA. ORCID
  2. A A Michailidis: Department of Theoretical Physics, University of Geneva, Geneva, Switzerland. ORCID
  3. S Shabani: Google Research, Mountain View, CA, USA.
  4. K C Miao: Google Research, Mountain View, CA, USA. ORCID
  5. P V Klimov: Google Research, Mountain View, CA, USA.
  6. J Lloyd: Department of Theoretical Physics, University of Geneva, Geneva, Switzerland. ORCID
  7. E Rosenberg: Google Research, Mountain View, CA, USA. ORCID
  8. R Acharya: Google Research, Mountain View, CA, USA.
  9. I Aleiner: Google Research, Mountain View, CA, USA.
  10. T I Andersen: Google Research, Mountain View, CA, USA.
  11. M Ansmann: Google Research, Mountain View, CA, USA. ORCID
  12. F Arute: Google Research, Mountain View, CA, USA.
  13. K Arya: Google Research, Mountain View, CA, USA. ORCID
  14. A Asfaw: Google Research, Mountain View, CA, USA.
  15. J Atalaya: Google Research, Mountain View, CA, USA.
  16. J C Bardin: Google Research, Mountain View, CA, USA. ORCID
  17. A Bengtsson: Google Research, Mountain View, CA, USA. ORCID
  18. G Bortoli: Google Research, Mountain View, CA, USA.
  19. A Bourassa: Google Research, Mountain View, CA, USA. ORCID
  20. J Bovaird: Google Research, Mountain View, CA, USA.
  21. L Brill: Google Research, Mountain View, CA, USA.
  22. M Broughton: Google Research, Mountain View, CA, USA.
  23. B B Buckley: Google Research, Mountain View, CA, USA. ORCID
  24. D A Buell: Google Research, Mountain View, CA, USA.
  25. T Burger: Google Research, Mountain View, CA, USA.
  26. B Burkett: Google Research, Mountain View, CA, USA. ORCID
  27. N Bushnell: Google Research, Mountain View, CA, USA. ORCID
  28. Z Chen: Google Research, Mountain View, CA, USA.
  29. B Chiaro: Google Research, Mountain View, CA, USA.
  30. D Chik: Google Research, Mountain View, CA, USA.
  31. C Chou: Google Research, Mountain View, CA, USA.
  32. J Cogan: Google Research, Mountain View, CA, USA.
  33. R Collins: Google Research, Mountain View, CA, USA. ORCID
  34. P Conner: Google Research, Mountain View, CA, USA.
  35. W Courtney: Google Research, Mountain View, CA, USA.
  36. A L Crook: Google Research, Mountain View, CA, USA.
  37. B Curtin: Google Research, Mountain View, CA, USA.
  38. A G Dau: Google Research, Mountain View, CA, USA.
  39. D M Debroy: Google Research, Mountain View, CA, USA.
  40. A Del Toro Barba: Google Research, Mountain View, CA, USA. ORCID
  41. S Demura: Google Research, Mountain View, CA, USA. ORCID
  42. A Di Paolo: Google Research, Mountain View, CA, USA. ORCID
  43. I K Drozdov: Google Research, Mountain View, CA, USA.
  44. A Dunsworth: Google Research, Mountain View, CA, USA.
  45. C Erickson: Google Research, Mountain View, CA, USA.
  46. L Faoro: Google Research, Mountain View, CA, USA.
  47. E Farhi: Google Research, Mountain View, CA, USA.
  48. R Fatemi: Google Research, Mountain View, CA, USA.
  49. V S Ferreira: Google Research, Mountain View, CA, USA.
  50. L F Burgos: Google Research, Mountain View, CA, USA.
  51. E Forati: Google Research, Mountain View, CA, USA.
  52. A G Fowler: Google Research, Mountain View, CA, USA. ORCID
  53. B Foxen: Google Research, Mountain View, CA, USA. ORCID
  54. É Genois: Google Research, Mountain View, CA, USA.
  55. W Giang: Google Research, Mountain View, CA, USA.
  56. C Gidney: Google Research, Mountain View, CA, USA.
  57. D Gilboa: Google Research, Mountain View, CA, USA.
  58. M Giustina: Google Research, Mountain View, CA, USA.
  59. R Gosula: Google Research, Mountain View, CA, USA.
  60. J A Gross: Google Research, Mountain View, CA, USA. ORCID
  61. S Habegger: Google Research, Mountain View, CA, USA. ORCID
  62. M C Hamilton: Google Research, Mountain View, CA, USA. ORCID
  63. M Hansen: Google Research, Mountain View, CA, USA.
  64. M P Harrigan: Google Research, Mountain View, CA, USA. ORCID
  65. S D Harrington: Google Research, Mountain View, CA, USA. ORCID
  66. P Heu: Google Research, Mountain View, CA, USA.
  67. M R Hoffmann: Google Research, Mountain View, CA, USA. ORCID
  68. S Hong: Google Research, Mountain View, CA, USA.
  69. T Huang: Google Research, Mountain View, CA, USA.
  70. A Huff: Google Research, Mountain View, CA, USA.
  71. W J Huggins: Google Research, Mountain View, CA, USA.
  72. L B Ioffe: Google Research, Mountain View, CA, USA. ORCID
  73. S V Isakov: Google Research, Mountain View, CA, USA.
  74. J Iveland: Google Research, Mountain View, CA, USA.
  75. E Jeffrey: Google Research, Mountain View, CA, USA.
  76. Z Jiang: Google Research, Mountain View, CA, USA. ORCID
  77. C Jones: Google Research, Mountain View, CA, USA.
  78. P Juhas: Google Research, Mountain View, CA, USA. ORCID
  79. D Kafri: Google Research, Mountain View, CA, USA. ORCID
  80. K Kechedzhi: Google Research, Mountain View, CA, USA. ORCID
  81. T Khattar: Google Research, Mountain View, CA, USA.
  82. M Khezri: Google Research, Mountain View, CA, USA.
  83. M Kieferová: Google Research, Mountain View, CA, USA.
  84. S Kim: Google Research, Mountain View, CA, USA. ORCID
  85. A Kitaev: Google Research, Mountain View, CA, USA.
  86. A R Klots: Google Research, Mountain View, CA, USA.
  87. A N Korotkov: Google Research, Mountain View, CA, USA.
  88. F Kostritsa: Google Research, Mountain View, CA, USA.
  89. J M Kreikebaum: Google Research, Mountain View, CA, USA. ORCID
  90. D Landhuis: Google Research, Mountain View, CA, USA. ORCID
  91. P Laptev: Google Research, Mountain View, CA, USA.
  92. K-M Lau: Google Research, Mountain View, CA, USA.
  93. L Laws: Google Research, Mountain View, CA, USA.
  94. J Lee: Google Research, Mountain View, CA, USA.
  95. K W Lee: Google Research, Mountain View, CA, USA. ORCID
  96. Y D Lensky: Google Research, Mountain View, CA, USA.
  97. B J Lester: Google Research, Mountain View, CA, USA. ORCID
  98. A T Lill: Google Research, Mountain View, CA, USA.
  99. W Liu: Google Research, Mountain View, CA, USA.
  100. A Locharla: Google Research, Mountain View, CA, USA. ORCID
  101. F D Malone: Google Research, Mountain View, CA, USA.
  102. O Martin: Google Research, Mountain View, CA, USA. ORCID
  103. J R McClean: Google Research, Mountain View, CA, USA. ORCID
  104. M McEwen: Google Research, Mountain View, CA, USA. ORCID
  105. A Mieszala: Google Research, Mountain View, CA, USA.
  106. S Montazeri: Google Research, Mountain View, CA, USA.
  107. A Morvan: Google Research, Mountain View, CA, USA. ORCID
  108. R Movassagh: Google Research, Mountain View, CA, USA. ORCID
  109. W Mruczkiewicz: Google Research, Mountain View, CA, USA. ORCID
  110. M Neeley: Google Research, Mountain View, CA, USA. ORCID
  111. C Neill: Google Research, Mountain View, CA, USA. ORCID
  112. A Nersisyan: Google Research, Mountain View, CA, USA.
  113. M Newman: Google Research, Mountain View, CA, USA.
  114. J H Ng: Google Research, Mountain View, CA, USA.
  115. A Nguyen: Google Research, Mountain View, CA, USA.
  116. M Nguyen: Google Research, Mountain View, CA, USA.
  117. M Y Niu: Google Research, Mountain View, CA, USA. ORCID
  118. T E O'Brien: Google Research, Mountain View, CA, USA. ORCID
  119. A Opremcak: Google Research, Mountain View, CA, USA.
  120. A Petukhov: Google Research, Mountain View, CA, USA.
  121. R Potter: Google Research, Mountain View, CA, USA.
  122. L P Pryadko: Google Research, Mountain View, CA, USA.
  123. C Quintana: Google Research, Mountain View, CA, USA.
  124. C Rocque: Google Research, Mountain View, CA, USA.
  125. N C Rubin: Google Research, Mountain View, CA, USA. ORCID
  126. N Saei: Google Research, Mountain View, CA, USA.
  127. D Sank: Google Research, Mountain View, CA, USA. ORCID
  128. K Sankaragomathi: Google Research, Mountain View, CA, USA.
  129. K J Satzinger: Google Research, Mountain View, CA, USA. ORCID
  130. H F Schurkus: Google Research, Mountain View, CA, USA. ORCID
  131. C Schuster: Google Research, Mountain View, CA, USA. ORCID
  132. M J Shearn: Google Research, Mountain View, CA, USA.
  133. A Shorter: Google Research, Mountain View, CA, USA.
  134. N Shutty: Google Research, Mountain View, CA, USA.
  135. V Shvarts: Google Research, Mountain View, CA, USA.
  136. J Skruzny: Google Research, Mountain View, CA, USA.
  137. W C Smith: Google Research, Mountain View, CA, USA.
  138. R Somma: Google Research, Mountain View, CA, USA.
  139. G Sterling: Google Research, Mountain View, CA, USA.
  140. D Strain: Google Research, Mountain View, CA, USA.
  141. M Szalay: Google Research, Mountain View, CA, USA. ORCID
  142. A Torres: Google Research, Mountain View, CA, USA.
  143. G Vidal: Google Research, Mountain View, CA, USA.
  144. B Villalonga: Google Research, Mountain View, CA, USA.
  145. C V Heidweiller: Google Research, Mountain View, CA, USA.
  146. T White: Google Research, Mountain View, CA, USA. ORCID
  147. B W K Woo: Google Research, Mountain View, CA, USA. ORCID
  148. C Xing: Google Research, Mountain View, CA, USA.
  149. Z J Yao: Google Research, Mountain View, CA, USA. ORCID
  150. P Yeh: Google Research, Mountain View, CA, USA. ORCID
  151. J Yoo: Google Research, Mountain View, CA, USA.
  152. G Young: Google Research, Mountain View, CA, USA.
  153. A Zalcman: Google Research, Mountain View, CA, USA. ORCID
  154. Y Zhang: Google Research, Mountain View, CA, USA.
  155. N Zhu: Google Research, Mountain View, CA, USA. ORCID
  156. N Zobrist: Google Research, Mountain View, CA, USA. ORCID
  157. H Neven: Google Research, Mountain View, CA, USA. ORCID
  158. R Babbush: Google Research, Mountain View, CA, USA. ORCID
  159. D Bacon: Google Research, Mountain View, CA, USA. ORCID
  160. S Boixo: Google Research, Mountain View, CA, USA. ORCID
  161. J Hilton: Google Research, Mountain View, CA, USA.
  162. E Lucero: Google Research, Mountain View, CA, USA. ORCID
  163. A Megrant: Google Research, Mountain View, CA, USA. ORCID
  164. J Kelly: Google Research, Mountain View, CA, USA.
  165. Y Chen: Google Research, Mountain View, CA, USA. ORCID
  166. P Roushan: Google Research, Mountain View, CA, USA. ORCID
  167. V Smelyanskiy: Google Research, Mountain View, CA, USA. ORCID
  168. D A Abanin: Google Research, Mountain View, CA, USA. ORCID

Abstract

Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for quantum simulation of high-temperature superconductivity or quantum magnetism. Using up to 49 superconducting qubits, we prepared low-energy states of the transverse-field Ising model through coupling to dissipative auxiliary qubits. In one dimension, we observed long-range quantum correlations and a ground-state fidelity of 0.86 for 18 qubits at the critical point. In two dimensions, we found mutual information that extends beyond nearest neighbors. Lastly, by coupling the system to auxiliaries emulating reservoirs with different chemical potentials, we explored transport in the quantum Heisenberg model. Our results establish engineered dissipation as a scalable alternative to unitary evolution for preparing entangled many-body states on noisy quantum processors.

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