OpenAI gave a last-minute presentation at the Black Hat security on Wednesday about “the Hugging Face Incident” (previously on this blog). The video was published yesterday. It’s short and information...

We present a polynomial-time quantum algorithm for the Dihedral Coset Problem (DCP). The algorithm is based on Regev's polynomial-time reduction of the Dihedral Subgroup Problem (DSP) to the modular ...

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The indistinguishability of many bosons undergoing passive linear transformations followed by number basis measurements is fully characterized by the visible state of the bosons. However, measuring all the parameters in the visible state is experimentally demanding. In this work, we seek to perform partial characterization of the visible state by measuring properties of it that are available after randomization. First, we study the case where the occupied visible modes are randomly permuted, and second, we study the case where Haar random linear optical unitaries are applied. In each case, we find that the generalized bunching probability---which is the probability that all the input bosons arrive in a given subset of the output modes---obeys monotonicity with respect to some partial order of distinguishability of the input bosons. As an intermediate result, we show that Lieb's permanental-dominance conjecture for immanants is equivalent to the following statement: for states that are invariant under permutations of the occupied visible modes, the generalized bunching probability is maximized when the bosons are perfectly indistinguishable. We also prove that a consequence of the monotonicity of the generalized bunching probability after Haar averaging is that this average is maximized when the bosons are perfectly indistinguishable. Finally, we discuss applications of our results to thermometry of cold-atom systems.

The quantum characterization, verification, and validation (QCVV) toolbox assesses processor performance by analyzing their qubits and logic operations. One can construct a comprehensive model of quan...

Interactive map of 3.4 million Bluesky users, visualised by their follower pattern.

The main source of reduced nitrogen for living things comes from nitrogenase, which converts N2 to NH3 at the FeMo-cofactor (FeMo-co). Because of its role in supporting life, the uncertainty surroundi...

A huge animation scene with many references to memes, games, films, series, anime, music groups

A new Gmail update may allow Google to use your private messages and attachments for AI training. Here's how to turn it off.

* Naroditsky became a grandmaster in 2013 * No cause of death given in statement by family American chess grandmaster Daniel Naroditsky has died unexpectedly at the age of 29, his family said in a statement released by his club, the Charlotte Chess Center, on Monday. “It is with great sadness that we share the unexpected passing of Daniel Naroditsky,” the family said. “Daniel was a talented chess player, commentator, and educator, and a cherished member of the chess community.” Continue reading...

The indistinguishability of many bosons undergoing passive linear transformations followed by number basis measurements is fully characterized by its visible state. However, measuring all of the param...

The “Mozart of Math” tried to stay out of politics. Then it came for his research.