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Physicists repair flaw of established quantum resource theorem

Quantum information theory is a field of study that examines how quantum technologies store and process information. Over the past decades, researchers have introduced several new quantum information frameworks and theories that are informing the development of quantum computers and other devices that operate leveraging quantum mechanical effects.

These include so-called resource theories, which outline the transformations that can take place in quantum systems when only a limited number of operations are allowed.

In 2008, two scientists at Imperial College London introduced what they termed the generalized quantum Stein’s lemma, a mathematical theorem that describes how well quantum states can be distinguished from one another. In this generalized setting, one typically considers multiple identical copies of a specific state (the null hypothesis) and tests them against a composite alternative hypothesis, i.e., a set of states (e.g., resource-free states).

Mathematicians crack cellular noise puzzle, paving path for better cancer treatment

Why does cancer sometimes recur even after successful treatment, or why do some bacteria survive despite the use of powerful antibiotics? One of the key culprits identified is “biological noise”—random fluctuations occurring inside cells.

Even when cells share the same genes, the amount of protein varies in each, creating “outliers” that evade drug treatments and survive. Until now, scientists could only control the average values of cell populations; controlling the irregular variability of individual cells remained a long-standing challenge.

A joint research team—led by Professor Jae Kyoung Kim (Department of Mathematical Sciences, KAIST), Professor Jinsu Kim (Department of Mathematics, POSTECH), and Professor Byung-Kwan Cho (Graduate School of Engineering Biology, KAIST)—has theoretically established a “noise control principle.” Through mathematical modeling, they have found a way to eliminate biological noise and precisely govern cellular destiny.

New AI model accurately grades messy handwritten math answers and explains student errors

A research team affiliated with UNIST has unveiled a novel AI system capable of grading and providing detailed feedback on even the most untidy handwritten math answers—much like a human instructor.

Led by Professor Taehwan Kim of UNIST Graduate School of Artificial Intelligence and Professor Sungahn Ko of POSTECH, the team announced the development of VEHME (Vision-Language Model for Evaluating Handwritten Mathematics Expressions), an AI model designed specifically to evaluate complex handwritten mathematics expressions.

The research is published on the arXiv preprint server.

Researchers discover a new superfluid phase in non-Hermitian quantum systems

A stable “exceptional fermionic superfluid,” a new quantum phase that intrinsically hosts singularities known as exceptional points, has been discovered by researchers at the Institute of Science Tokyo.

Their analysis of a non-Hermitian quantum model with spin depairing shows that dissipation can actively stabilize a superfluid with these singularities embedded within it. The work reveals how lattice geometry dictates the phase’s stability and provides a path to realizing it in experiments with ultracold atoms.

In the quantum world, open quantum systems are those where particle loss and directional asymmetry are fundamental features. These systems can no longer be described by conventional mathematics.

The Man Who Reimagined Math: David Deutsch And The Universal Quantum Computer

David Deutsch didn’t just contribute to the field of quantum computing—he redefined what computation *is*, bridging the gap between physics and information in a way no one had before. By theorizing the universal quantum computer, Deutsch opened the door to possibilities previously confined to science fiction, forever altering our understanding of reality and the limits of what machines can achieve.

The Physicist Who Says We’ve Already Quantized Gravity

Professor John Donoghue explains why quantum physics and gravity actually work perfectly together. He tackles quadratic gravity, effective field theory, and random dynamics, arguing that grand unification and naturalness aren’t required for a theory of everything.

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    • 00:00:00 — Limits of Quantum Mechanics
    • 00:06:35 — Effective Field Theory
    • 00:12:24 — Gravity: Geometry or Force?
    • 00:18:46 — QFT and Gravity Tension
    • 00:24:59 — Quadratic Gravity Theory
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    String Theory in 2037 | Brian Greene & Edward Witten

    Edward Witten, widely regarded as one of the greatest living theoretical physicists, sits down with Brian Greene to explore the deepest questions at the frontiers of modern science. From string theory and quantum gravity to black holes, cosmology, and the nature of consciousness, Witten reflects on what physics has revealed—and what remains profoundly mysterious.

    The only physicist to receive the Fields Medal, Witten discusses why unifying quantum mechanics and general relativity has proven so difficult, how string theory forces gravity into its framework, and why decades of progress have still not revealed the fundamental principles underlying the theory. He also examines powerful ideas such as duality, extra dimensions, and the controversial anthropic principle, offering rare insight into how physicists grapple with uncertainty at the edge of human understanding.

    The conversation moves beyond equations into philosophy, addressing questions about free will, the quantum measurement problem, and whether consciousness plays a role in how reality is observed. Witten reflects candidly on discovery, doubt, beauty in mathematics, and what it feels like to work at the limits of knowledge.

    This discussion is essential viewing for anyone interested in theoretical physics, cosmology, quantum theory, and the future of our understanding of the universe.
    This program is part of the Rethinking Reality series, supported by the John Templeton Foundation.

    Participant: Edward Witten.
    Moderator: Brian Greene.

    0:00:00 — Introduction: Free Will, Physics, and the Quest to Unify Reality.

    Behold the Manifold, the Concept that Changed How Mathematicians View Space

    The world is full of such shapes—ones that look flat to an ant living on them, even though they might have a more complicated global structure. Mathematicians call these shapes manifolds. Introduced by Bernhard Riemann in the mid-19th century, manifolds transformed how mathematicians think about space. It was no longer just a physical setting for other mathematical objects, but rather an abstract, well-defined object worth studying in its own right.

    This new perspective allowed mathematicians to rigorously explore higher-dimensional spaces—leading to the birth of modern topology, a field dedicated to the study of mathematical spaces like manifolds. Manifolds have also come to occupy a central role in fields such as geometry, dynamical systems, data analysis, and physics.

    “Gödel, Escher, Bach”: Minds, Machines, And Math

    NOTE: Some folks have mentioned my pronunciation of Gödel is wrong, I do apologize for that.

    Any author mulling artificial intelligence as a story element owes it to themselves to encounter this spellbinding, one-of-a-kind book. You also deserve to sit down with it if you’re curious about any number of other SF&F-adjacent topics: mathematics, pattern recognition, the definition of consciousness, the concepts of recursion (finite and infinite)… but most of all, the way profundity can be made to look like pure play.

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