Quantum Probability in Modern Science and Technology

𝗤𝘂𝗮𝗻𝘁𝘂𝗺 𝗣𝗿𝗼𝗯𝗮𝗯𝗶𝗹𝗶𝘁𝘆 × 𝗟𝗟𝗠 𝗜𝗻𝘁𝗲𝗹𝗹𝗶𝗴𝗲𝗻𝗰𝗲 𝖰𝗎𝖺𝗇𝗍𝗎𝗆 𝖺𝗆𝗉𝗅𝗂𝗍𝗎𝖽𝖾𝗌 𝗋𝖾𝖿𝗂𝗇𝖾 𝗅𝖺𝗇𝗀𝗎𝖺𝗀𝖾 𝗉𝗋𝖾𝖽𝗂𝖼𝗍𝗂𝗈𝗇 𝖯𝗁𝖺𝗌𝖾 𝖺𝗅𝗂𝗀𝗇𝗆𝖾𝗇𝗍 𝖾𝗇𝗋𝗂𝖼𝗁𝖾𝗌 𝖼𝗈𝗇𝗍𝖾𝗑𝗍𝗎𝖺𝗅 𝗇𝗎𝖺𝗇𝖼𝖾 Classical probability treats token likelihoods as isolated scalars, but quantum computation reimagines them as amplitude vectors whose phases encode latent context. By mapping transformer outputs onto Hilbert spaces, we unlock interference patterns that selectively amplify coherent meanings while cancelling noise, yielding sharper posteriors with fewer samples. Variational quantum circuits further permit gradient‑based training of unitary operators, allowing language models to entangle distant dependencies without the quadratic memory overhead of classical self‑attention. The result is not simply faster or smaller models, but a fundamentally richer probabilistic grammar where superposition captures ambiguity and measurement collapses it into actionable insight. As qubit counts rise and error rates fall, the convergence of quantum linear algebra and deep semantics promises a new era in which language understanding is limited less by data volume than by our willingness to rethink probability itself. #quantum #ai #llm

Physicists Fully Map the Statistics of Quantum Entanglement, Unlocking New Precision for Quantum Tech A Mathematical Breakthrough in the Heart of the Quantum Revolution In a major theoretical milestone, physicists at the Institute of Theoretical Physics (IPhT) in Paris-Saclay have, for the first time, fully determined the statistical framework that governs quantum entanglement. Published in Nature Physics, this discovery provides a foundational understanding of the measurable outcomes that quantum entanglement can produce, offering critical insights for validating and improving quantum technologies such as quantum computers and communication networks. What the Breakthrough Entails • Complete Statistical Description of Entanglement: • The researchers have mathematically characterized all the possible measurement outcomes that can arise from systems exhibiting quantum entanglement. • This includes systems with varying degrees of entanglement and diverse physical carriers—photons, electrons, or superconducting circuits. • Their framework allows scientists to predict and verify the full range of correlations that should emerge from entangled systems. • Understanding Quantum Correlations: • When two quantum particles are entangled, measuring one instantaneously affects the state of the other, even across large distances. • The nature and strength of the correlation depend on how entangled the particles are, which in turn is influenced by their shared source and preparation. • These correlations are not random but follow strict statistical rules—rules which the IPhT team has now completely mapped out. • Verification Tools for Quantum Devices: • One immediate application is the creation of exhaustive test procedures for quantum technologies. • Engineers building quantum computers, simulators, and secure communication systems can now rigorously test whether their devices exhibit proper entanglement behaviors. • This contributes to higher reliability and trustworthiness in emerging quantum infrastructures. Why This Discovery Matters • Advancing the Second Quantum Revolution: • Quantum entanglement lies at the core of revolutionary technologies, from quantum key distribution to fault-tolerant quantum computing. • A precise statistical framework enables tighter control, better performance benchmarks, and reduced error margins in quantum experiments. This achievement marks a significant step in transforming quantum theory into practical quantum engineering. With the ability to completely characterize entanglement statistics, scientists are now better equipped to steer the next phase of quantum innovation—making what was once mysterious, measurable.

Is this the first real-world use case for quantum computers? True randomness is hard to come by. And in a world where cryptography and fairness rely on it, “close enough” just doesn’t cut it. A new paper in Nature claims to present a demonstrated, certified application of quantum computing, not in theory or simulation, but in the real world. Led by Quantinuum, JPMorganChase, Argonne National Laboratory, Oak Ridge National Laboratory, and The University of Texas at Austin, the team successfully ran a certified randomness expansion protocol on Quantinuum’s 56-qubit H2 quantum computer, and validated the results using over 1.1 exaflops of classical computing power. TL;DR is certified randomness--the kind of true, verifiable unpredictability that’s essential to cryptography and security--was generated by a quantum computer and validated by the world’s fastest supercomputers. Here’s why that matters: True randomness is anything but trivial. Classical systems can simulate randomness, but they’re still deterministic at the core. And for high-stakes environments such as finance, national security, or fairness in elections, you don’t want pseudo-anything. You want cold, hard entropy that no adversary can predict or reproduce. Quantum mechanics is probabilistic by nature. But just generating randomness with a quantum system isn’t enough; you need to certify that it’s truly random and not spoofed. That’s where this experiment comes in. Using a method called random circuit sampling, the team: ⚇ sent quantum circuits to Quantinuum’s 56-qubit H2 processor, ⚇ had it return outputs fast enough to make classical simulation infeasible, ⚇ verified the randomness mathematically using the Frontier supercomputer ⚇ while the quantum device accessed remotely, proving a future where secure, certifiable entropy doesn’t require trusting the hardware in front of you The result? Over 71,000 certifiably random bits generated in a way that proves they couldn’t have come from a classical machine. And it’s commercially viable. Certified randomness may sound niche—but it’s highly relevant to modern cryptography. This could be the start of the earliest true “quantum advantage” that actually matters in practice. And later this year, Quantinuum plans to make it a product. It’s a shift— from demos to deployment from supremacy claims to measurable utility from the theoretical to the trustworthy read more from Matt Swayne at The Quantum Insider here --> https://lnkd.in/gdkGMVRb peer-reviewed paper --> https://lnkd.in/g96FK7ip #QuantumComputing #CertifiedRandomness #Cryptography

In finance, Monte Carlo simulations help us to measure risks like VaR or price derivatives, but they’re often painfully slow because you need to generate millions of scenarios. Matsakos and Nield suggest something different: they build everything directly into a quantum circuit. Instead of precomputing probability distributions classically, they simulate the future evolution of equity, interest rate, and credit variables inside the quantum computer, including binomial trees for stock prices, models for rates, and credit migration or default models. All that is done within the circuit, and then quantum amplitude estimation is used to extract risk metrics without any offline preprocessing. This means you keep the quadratic speedup of quantum MC while also removing the bottleneck of classical distribution generation. If you want to explore the topic further, here is the paper: https://lnkd.in/dMHeAGnS #physics #markets #physicsinfinance #derivativespricing #quant #montecarlo #simulation #finance #quantitativefinance #financialengineering #modeling #quantum