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Quantized gravitational responses, the sign problem, and quantum complexity

Overview of attention for article published in Science Advances, September 2017
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About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (99th percentile)
  • High Attention Score compared to outputs of the same age and source (97th percentile)

Mentioned by

news
46 news outlets
blogs
13 blogs
twitter
322 tweeters
facebook
9 Facebook pages
googleplus
7 Google+ users
reddit
1 Redditor
q&a
2 Q&A threads

Citations

dimensions_citation
3 Dimensions

Readers on

mendeley
44 Mendeley
citeulike
1 CiteULike
Title
Quantized gravitational responses, the sign problem, and quantum complexity
Published in
Science Advances, September 2017
DOI 10.1126/sciadv.1701758
Pubmed ID
Authors

Zohar Ringel, Dmitry L. Kovrizhin

Abstract

It is believed that not all quantum systems can be simulated efficiently using classical computational resources. This notion is supported by the fact that it is not known how to express the partition function in a sign-free manner in quantum Monte Carlo (QMC) simulations for a large number of important problems. The answer to the question-whether there is a fundamental obstruction to such a sign-free representation in generic quantum systems-remains unclear. Focusing on systems with bosonic degrees of freedom, we show that quantized gravitational responses appear as obstructions to local sign-free QMC. In condensed matter physics settings, these responses, such as thermal Hall conductance, are associated with fractional quantum Hall effects. We show that similar arguments also hold in the case of spontaneously broken time-reversal (TR) symmetry such as in the chiral phase of a perturbed quantum Kagome antiferromagnet. The connection between quantized gravitational responses and the sign problem is also manifested in certain vertex models, where TR symmetry is preserved.

Twitter Demographics

The data shown below were collected from the profiles of 322 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 44 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 44 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 18 41%
Researcher 9 20%
Other 5 11%
Professor > Associate Professor 3 7%
Student > Master 2 5%
Other 7 16%
Readers by discipline Count As %
Physics and Astronomy 27 61%
Computer Science 5 11%
Chemistry 2 5%
Unspecified 2 5%
Psychology 2 5%
Other 6 14%

Attention Score in Context

This research output has an Altmetric Attention Score of 726. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 13 January 2019.
All research outputs
#6,378
of 12,374,621 outputs
Outputs from Science Advances
#76
of 2,467 outputs
Outputs of similar age
#332
of 273,354 outputs
Outputs of similar age from Science Advances
#5
of 203 outputs
Altmetric has tracked 12,374,621 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 99th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 2,467 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 127.0. This one has done particularly well, scoring higher than 96% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 273,354 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 99% of its contemporaries.
We're also able to compare this research output to 203 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 97% of its contemporaries.