Journal article
Improved entanglement entropy estimates from filtered bitstring probabilities
Physical review. A, Vol.112(3), 032430
09/2025
DOI: 10.1103/lbv3-2z7r
Abstract
Using the bitstring probabilities of ground states of bipartitioned ladders of Rydberg atoms, we calculate the mutual information, which is a lower bound on the corresponding bipartite von Neumann quantum entanglement entropy SvNA . We show that in many cases these lower bounds can be improved by removing the bitstrings with a probability lower than some value pmin and renormalizing the remaining probabilities (filtering). We propose a heuristic based on the change of the conditional entropy under filtering that very effectively improves the estimate of SvNA . We consider various sizes, lattice spacings, and bipartitions. Our numerical investigation suggest that the filtered mutual information obtained with samples having just a few thousand bitstrings can provide reasonably close estimates of SvNA . We briefly discuss practical implementations with QuEra’s Aquila device.
Details
- Title: Subtitle
- Improved entanglement entropy estimates from filtered bitstring probabilities
- Creators
- Avi Kaufman - University of IowaJames Corona - University of IowaZane Ozzello - University of IowaBlake Senseman - University of IowaMuhammad Asaduzzaman - University of IowaYannick Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. A, Vol.112(3), 032430
- DOI
- 10.1103/lbv3-2z7r
- ISSN
- 2469-9926
- eISSN
- 2469-9934
- Publisher
- AMER PHYSICAL SOC
- Grant note
- Department of Energy: DE-SC0019139, DE-SC0025430 NERSC ERCAP: 0023235
This research was supported in part by the Department of Energy under Awards No. DE-SC0019139 and DE-SC0025430. We thank the Amazon Web Services and S. Hassinger for facilitating remote access to QuEra through the Amazon Braket while teaching quantum mechanics and our Department of Physics and Astronomy for supporting part of the cost of the analog simulations presented here. We thank the University of Iowa for providing access to the Argon computing facilities. We acknowledge the use of NERSC facilities with ERCAP 0023235 award. Discussions during the long-term workshop, HHIQCD2024, at Yukawa Institute for Theoretical Physics (YITP-T-24-02), were useful as we completed this work. The final version was completed while Y. M. attended the workshop "Co-design for Fundamental Physics in the Fault-Tolerant Era" at the InQubator for Quantum Simulation, University of Washington, Seattle, USA and he benefited from discussions with the participants. M.A. would like to thank S. Hassinger, T. Aunon, N. Owens, and others on the on-boarding team for arranging quantum credits for the Aquila device through amazon braket.
- Language
- English
- Date published
- 09/2025
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984966545002771
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