Scalable Circuits for Preparing Ground States on Digital Quantum Computers: The Schwinger Model Vacuum on 100 Qubits

The vacuum of the lattice Schwinger model is prepared on up to 100 qubits of IBM’s Eagle-processor quantum computers. A new algorithm to prepare the ground state of a gapped translationally invariant system on a quantum computer is presented, which we call “scalable circuits ADAPT-VQE” (SC-ADAPT-VQE). This algorithm uses the exponential decay of correlations between distant regions of the ground state, together with ADAPT-VQE, to construct quantum circuits for state preparation that can be scaled to arbitrarily large systems. These scalable circuits can be determined with use of classical computers, avoiding the challenging task of optimizing parameterized circuits on a quantum computer. SC-ADAPT-VQE is…

• UD
  U.S. Department of Energy

  Awards: DE-FG02-97ER-41014, AC05-00OR22725, DE-SC0020970, DE-FG02-, DE-AC05, DE-FG02, 00OR22725
• UO
  University of Washington
• OO
  Office of Science

  Awards: DE-AC05-00OR22725, DE-SC0020970, DE-FG02-97ER-41014, AC05-00OR22725
• NP
  Nuclear Physics

  Awards: DE-FG02-97ER-41014, DE-AC05-00OR22725, DE-SC0020970