Improved Accuracy for Trotter Simulations Using Chebyshev Interpolation

Understand

Quantum metrology allows for measuring properties of a quantum system at the optimal Heisenberg limit.

• However, when the relevant quantum states are prepared using digital Hamiltonian simulation, the accrued algorithmic errors will cause deviations from this fundamental limit.
• In this work, we show how algorithmic errors due to Trotterized time evolution can be mitigated through the use of standard polynomial interpolation techniques.
• Our approach is to extrapolate to zero Trotter step size, akin to zero-noise extrapolation techniques for mitigating hardware errors.