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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Dynamics

Background:

  • Open quantum systems dynamics are often modeled using completely positive (CP) maps.
  • General dynamical maps, which are not necessarily positivity preserving, describe a broader class of quantum evolutions, including non-Markovian dynamics.
  • These general maps are also relevant as the inverse of CP maps used in quantum error mitigation.

Purpose of the Study:

  • To present a novel quantum simulation scheme for general dynamical maps.
  • To enable the simulation of quantum systems undergoing entangling and non-Markovian dynamics.
  • To explore applications in quantum error mitigation.

Main Methods:

  • Development of a quantum simulation scheme for general dynamical maps.
  • Implementation and demonstration of the scheme on an IBM quantum processor.
  • Utilizing a single ancilla qubit and a limited number of quantum gates.

Main Results:

  • Successful simulation of general dynamical maps, including those arising from non-Markovian system-reservoir interactions.
  • Demonstration of the scheme's ability to recover the initial state of a Lindblad evolution.
  • Validation of the scheme's practicality for near-term quantum devices.

Conclusions:

  • The proposed scheme effectively simulates general dynamical maps, expanding the capabilities of quantum simulation.
  • This work presents a novel and practical method for quantum error mitigation.
  • The low overhead in terms of qubits and gates makes the scheme suitable for current quantum hardware.