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Researchers developed new tools to certify quantum simulations of fermionic models. This method, using fidelity witnesses, efficiently measures the accuracy of quantum states in spin chains, overcoming limitations of traditional quantum state tomography.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Simulation

Background:

  • Growing interest in quantum spin-1/2 chains for quantum simulation.
  • Noninteracting fermionic models are key benchmarks but lack direct certification tools.
  • Current experimental certification relies on quantum state tomography, which scales poorly with system size.

Purpose of the Study:

  • Develop experimentally friendly fidelity witnesses for pure fermionic Gaussian target states.
  • Provide an efficient measurement method for certifying quantum simulations.
  • Address the need for scalable certification in quantum many-body systems.

Main Methods:

  • Derivation of fidelity witnesses in the Majorana-fermion representation.
  • Application to experimentally relevant spin-1/2 chains.
  • Utilizing a tailored importance sampling variant for measuring overlaps between covariance matrices.

Main Results:

  • Demonstrated efficient measurement of fidelity lower bounds for fermionic Gaussian states.
  • Successfully applied the method to certify out-of-equilibrium dynamics in critical Ising chains.
  • The developed method is robust against experimental state infidelities.

Conclusions:

  • Introduced a novel, efficient certification tool for noninteracting fermionic models in quantum simulations.
  • The fidelity witnesses offer a scalable alternative to quantum state tomography.
  • Enables robust verification of complex quantum dynamics in spin chain systems.