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Tag Archives: Noise
Influence, Threshold, and Noise
My dear friend Itai Benjamini told me that he won’t be able to make it to my Tuesday talk on influence, threshold, and noise, and asked if I already have the slides. So it occurred to me that perhaps … Continue reading
BosonSampling and (BKS) Noise Sensitivity
Following are some preliminary observations connecting BosonSampling, an interesting computational task that quantum computers can perform (that we discussed in this post), and noisesensitivity in the sense of Benjamini, Schramm, and myself (that we discussed here and here.) BosonSampling and computationalcomplexity hierarchycollapse Suppose that … Continue reading
Posted in Computer Science and Optimization, Physics, Probability
Tagged BosonSampling, Noise, Noisesensitivity, Quantum computation
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Symplectic Geometry, Quantization, and Quantum Noise
Over the last two meetings of our HU quantum computation seminar we heard two talks about symplectic geometry and its relations to quantum mechanics and quantum noise. Yael Karshon: Manifolds, symplectic manifolds, Newtonian mechanics, quantization, and the non squeezing theorem. … Continue reading
Noise Sensitivity and Percolation. Lecture Notes by Christophe Garban and Jeff Steif
Lectures on noise sensitivity and percolation is a new beautiful monograph by Christophe Garban and Jeff Steif. (Some related posts on this blog: 1, 2, 3, 4, 5)
Posted in Combinatorics, Probability
Tagged Christoph Garban, Jeff Steif, Noise, Noisesensitivity, Percolation
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When It Rains It Pours
After our success in exploring the phrase “more or less” in many languages here is a task of a similar nature There is a saying in Hebrew: “Troubles come in packages” צרות באות בצרורות “Tzarot Baot bitzrorot”. I am curious about analogs in other … Continue reading
Noise Stability and Threshold Circuits
The purpose of this post is to describe an old conjecture (or guesses, see this post) by Itai Benjamini, Oded Schramm and myself (taken from this paper) on noise stability of threshold functions. I will start by formulating the conjectures and … Continue reading
When Noise Accumulates
I wrote a short paper entitled “when noise accumulates” that contains the main conceptual points (described rather formally) of my work regarding noisy quantum computers. Here is the paper. (Update: Here is a new version, Dec 2010.) The new exciting innovation in computer … Continue reading
Test Your Intuition (10): How Does “Random Noise” Look
This is a bit unusual post in the “test your intuition” corner as the problem is not entirely formal. How does random noise in the digital world typically look? Suppose you have a memory of n bits, or a memory based on a larger … Continue reading
Noise Sensitivity Lecture and Tales
A lecture about Noise sensitivity Several of my recent research projects are related to noise, and noise was also a topic of a recent somewhat philosophical post. My oldest and perhaps most respectable noiserelated project was the work with Itai Benjamini and Oded … Continue reading
Detrimental Noise
“Imagine there’s no heaven, it’s easy(?) if you try,” John Lennon Disclaimer: It is a reasonable belief (look here, and here), and an extremely reasonable working assumption (look here) that computationally superior quantum computers can be built. (This post and the … Continue reading