Finite-Size Scaling of Typicality-Based Estimates

@article{Schnack2020FiniteSizeSO,
  title={Finite-Size Scaling of Typicality-Based Estimates},
  author={J{\"u}rgen Schnack and Johannes Richter and Tjark Heitmann and Jonas Richter and Robin Steinigeweg},
  journal={Zeitschrift f{\"u}r Naturforschung A},
  year={2020},
  volume={75},
  pages={465 - 473}
}
Abstract According to the concept of typicality, an ensemble average can be accurately approximated by an expectation value with respect to a single pure state drawn at random from a high-dimensional Hilbert space. This random-vector approximation, or trace estimator, provides a powerful approach to, e.g. thermodynamic quantities for systems with large Hilbert-space sizes, which usually cannot be treated exactly, analytically or numerically. Here, we discuss the finite-size scaling of the… 

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