Published October 24, 2022
| Version 0.1
Software
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IsingToolkit
Description
Ising Toolkit
Entanglement Entropy of a region of an output state of a Haar-random circuit is dual to the free energy different of an Ising model where region is pinned to -1 and rest is +1,
and everywhere is pinned as +1 (c.f. Hayden et al. (2016)).
This software has a feature of converting a circuit with given Haar-random circuit to a corresponding lattice model.
Then using Monte-Carlo solves classical Ising model on a lattice with non-trivial connectivity.
I've given an example on calculating Renyi-2 Entropy from free energy difference computed with BAR method.
Please cite this software as
* Tomohiro Hashizume. (2022) IsingToolkit 0.1. https://doi.org/10.5281/zenodo.7245363
Files
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Additional details
References
- Hayden, P., Nezami, S., Qi, X.-L., Thomas, N., Walter, M., & Yang, Z. (2016). Holographic duality from random tensor networks. In Journal of High Energy Physics (Vol. 2016, Issue 11). Springer Science and Business Media LLC. https://doi.org/10.1007/jhep11(2016)009.
- Bennett, C. H. (1976). Efficient estimation of free energy differences from Monte Carlo data. In Journal of Computational Physics (Vol. 22, Issue 2, pp. 245–268). Elsevier BV. https://doi.org/10.1016/0021-9991(76)90078-4.