Gil Kalai

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22 September

Gil KalaiKorrents 22 Sept

From one piece Combinatorics and more 3 beliefs, in the piece's order there

korrents.com
The potential for AI to harm the field of mathematics is real.

mathematics

Their words

The potential for AI to harm the field is real, and I have no desire to downplay that danger.

Combinatorics and moregilkalai.wordpress.com
korrents.com
AI tools can come up with interesting and useful mathematical problems and conjectures.

Their words

My overall impression is that in the course of working, AI tools come up with interesting and useful problems and conjectures- and occasionally answer them effectively.

Combinatorics and moregilkalai.wordpress.com
korrents.com
The increasing role of AI in mathematics is a major event that may be a crisis, an opportunity, or both.

mathematics

Their words

The increasing role of AI in mathematics is a major event in our lives, perhaps a crisis, perhaps an opportunity, and probably both.

Combinatorics and moregilkalai.wordpress.com

3 April

Gil KalaiKorrents 3 Apr

korrents.com
AI-driven collaborative research models can enhance collective mathematical efforts and accelerate research progress.

Their words

such models can now be enhanced by the evolving capabilities of AI to accelerate research progress while offering developers a space to refine these tools through real-world academic interaction.

Combinatorics and moregilkalai.wordpress.com

10 March

Gil KalaiKorrents 10 Mar

From one piece Combinatorics and more 2 beliefs, in the piece's order there

korrents.com
The Google 2019 experiment may have been flawed.

Google

Their words

Our findings indicate that the experiment may indeed have been flawed.

Combinatorics and moregilkalai.wordpress.com
korrents.com
Raw data for experiments should generally be made publicly available.

Their words

As a general rule, raw data for such experiments should be publicly available.

Combinatorics and moregilkalai.wordpress.com

6 March

Gil KalaiKorrents 6 Mar

From one piece Combinatorics and more 2 beliefs, in the piece's order there

korrents.com
If the Fully Depolarizing Noise Conjecture is true, correlated depolarizing noise on pairs of qubits could make quantum error correction significantly more difficult than currently assumed.

Their words

If true, this would have severe consequences for quantum error correction: correlated depolarizing noise on pairs of qubits is far more damaging than the quasi-independent noise assumed in threshold theorems.

Combinatorics and moregilkalai.wordpress.com
korrents.com
Nature may not permit the quadratic suppression of error rates when entanglement is generated indirectly.

Their words

My conjecture asserts that nature does not permit such quadratic suppression. Even when entanglement is generated indirectly-through mediating qubits, measurement, feedforward, or clever circuit identities-the resulting Bell state on the two physical qubits still carries an intrinsic order- probability that both qubits are replaced by the maximally mixed state.

Combinatorics and moregilkalai.wordpress.com

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