Deepesh Singh
@Deepesh__Singh
(Reason/Literature/Music) PhD Candidate in Quantum Computation @ The University of Queensland
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An exciting result has just appeared on arXiv, concerning the following simple-seeming problem: if A is a set of n positive integers, then how large a sum-free subset B must it contain? That means that if x, y and z belong to B, then x + y should not equal z. 🧵
There is something at once funny and humbling about this MathOverflow thread in which a bunch of research mathematicians realize they don't know how to answer the question “when does a box of size a×b×c fit inside one of side x×y×z?”. mathoverflow.net/q/282158/17064
I love this kind of questions! With open games, the game tree Hamkins talks about in his answer below is replaced with a more intuitive, dynamical description (this helps greatly when modeling edge cases like castling) 1/n
What is a chess piece, mathematically? I posted an answer to this question some years back on MathOverflow at mathoverflow.net/a/287927/1946.
the ore you're a mathematician the more you realize how proofs are really cultural objects xenaproject.wordpress.com/2024/12/11/fer…
What an electrifying story about an important new math proof connecting combinatorics, number theory and algebraic geometry, with potential applications in harmonic analysis, reported by @EricaKlarreich in @QuantaMagazine today: quantamagazine.org/merging-fields…
quantamagazine.org
Merging Fields, Mathematicians Go the Distance on Old Problem | Quanta Magazine
Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers.
1/n: There are some academic papers that are so brilliantly and so accessibly written and so universal in scope that they transcend disciplines and stand as timeless testaments to both great thinking and great writing. Here's a short personal selection:
arxiv.org/abs/2311.08347 Indistinguishable single photon counts of 54MHz out of 78 MHz pump rate
New @foqacia_org paper published in @ScienceAdvances ! A collaboration between @QLOC_INL @qlab_sapienza and @fastgroup_ifn , on the certification of quantum properties of integrated photonic devices.
New @QLOC_INL group paper published in @ScienceAdvances! In collaboration with @qlab_sapienza and @fastgroup_ifn, we demonstrate new techniques for certifying coherence, contextuality, and Hilbert space dimension in a photonic quantum device. A thread 1/n science.org/doi/10.1126/sc…
The physicists Leonard Susskind and Adam Brown have proposed the second law of quantum complexity, a rule similar to the second law of thermodynamics that describes the evolution of complexity in quantum systems. quantamagazine.org/in-new-paradox…
quantamagazine.org
In New Paradox, Black Holes Appear to Evade Heat Death | Quanta Magazine
The puzzling behavior of black hole interiors has led researchers to propose a new physical law: the second law of quantum complexity.
If you have heard buzzwords like quantum, blockchain, energy consumption, climate change, and all that - you might not be the only one. Here we try to present an honest inter-disciplinary analysis of a realisable technology influencing them all.
Our new paper on using NISQ-era quantum sampling problems in proof-of-work blockchain consensus algorithms. In collaboration with @BTQ_Tech. arxiv.org/abs/2305.19865
"I was made to die but I'm here to stay." — Ocean Vuong
Tea by Salman Toor
Our new paper on using NISQ-era quantum sampling problems in proof-of-work blockchain consensus algorithms. In collaboration with @BTQ_Tech. arxiv.org/abs/2305.19865
In the City of Joy, where destinies entwined, a cinematic masterpiece emerged. Martin Scorsese, captivated at age nine, ranks it among the two best color films ever. Shot entirely in India, this behind-the-lens tale unveils a bond of friendship and a cinematic odyssey. 1/17
“The trace of a product of three positive symmetric matrices is in general not positive, unlike the trace of the product of two positive symmetric matrices, which is positive.” WAIT WHAT? 😱 mathoverflow.net/a/172907/17064
My first quantum computing paper is out now.
A new paper introduces a novel way to reduce errors in the preparation of |0⟩ qubit states, not using a conventional method with post-selection (example left) but using a family of CNOT and Toffoli circuits (simplest example right): riverlane.com/blog/a-new-way… #quantumcomputing
I'm very excited to share recent results on preparing topological states by measurement. In our latest collaboration with Quantinuum, we unambiguously provide the first realization of non-Abelian topological order in their latest H2 quantum processor (which launches today!)
A new graph theoretic proof improving the best known bound on the dimension of GHZ states in terms of number of particles! This brings us close to proving the conjecture of @albaclierta @MarioKrenn6240 @A_Aspuru_Guzik ! arxiv.org/abs/2304.06407
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