Time-resolved tomography of a driven adiabatic quantum simulation

Physical Review A, vol. 102

Abstract

A typical goal of a quantum simulation is to find the energy levels and eigenstates of a given Hamiltonian. This can be realized by adiabatically varying the system control parameters to steer an initial eigenstate into the eigenstate of the target Hamiltonian. Such an adiabatic quantum simulation is demonstrated by directly implementing a controllable and smoothly varying Hamiltonian in the rotating frame of two superconducting qubits, including longitudinal and transverse fields and iswap-type two-qubit interactions. The evolution of each eigenstate is tracked using time-resolved state tomography. The energy gaps between instantaneous eigenstates are chosen such that, depending on the energy transition rate, either diabatic or adiabatic passages are observed in the measured energies and correlators. Errors in the obtained energy values induced by finite ${T}_{1}$ and ${T}_{2}$ times of the qubits are mitigated by extrapolation to short protocol times.

Authors 5

1. Gian Salis

   IBM Research - Zurich

   Affiliation as printed

   IBM Quantum, IBM Research - Zurich, Säumerstrasse 4, 8803 Rüschlikon, Switzerland

2. Nikolaj Moll

   IBM Research - Zurich

   Affiliation as printed

   IBM Quantum, IBM Research - Zurich, Säumerstrasse 4, 8803 Rüschlikon, Switzerland

3. Marco Roth Aachen Institute for Quantum Information

   IBM Research - Zurich · RWTH Aachen University

   Affiliation as printed

   IBM Quantum, IBM Research - Zurich, Säumerstrasse 4, 8803 Rüschlikon, Switzerland

   Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany

4. Marc Ganzhorn

   IBM Research - Zurich

   Affiliation as printed

   IBM Quantum, IBM Research - Zurich, Säumerstrasse 4, 8803 Rüschlikon, Switzerland

5. Stefan Filipp

   IBM Research - Zurich · Technical University of Munich

   Affiliation as printed

   IBM Quantum, IBM Research - Zurich, Säumerstrasse 4, 8803 Rüschlikon, Switzerland

   Technical University Munich, Department of Physics, 85748 Garching, Germany