Resolves 15-year open problem: first explicit non-random counterexample to minimum output von Neumann entropy additivity via finite-dimensional unitaries mimicking free Haar behavior.

#QuantumInformation #QuantumEntropy #Research

New tight upper bounds on entropy differences under m-partial majorization generalize key quantum information inequalities. Introduces ε-sufficient majorization rank, a novel metric characterizing quantum state spectrum decay rates.

#QuantumInformation #QuantumEntropy #Research

QRNG doesn't accelerate Bitcoin's PoW consensus law, but quantifiably improves assurance and restart robustness in mining control planes. Fair benchmarking against strong classical baselines reveals quantum entropy's role in infrastructure, not protocol acceleration.

#QRNG #QuantumEntropy #Research

Breakthrough in quantum information theory: adjusted von Neumann entropy uniquely quantifies localizable information and characterizes Bell states—providing the quantum analog of Shannon entropy that standard von Neumann entropy fails to capture.

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We prove a unique extension of von Neumann entropy to pseudo-density matrices exists, satisfying unitary invariance and strong additivity—advancing mathematical foundations of quantum information theory.

#QuantumEntropy #QuantumInformation #Research

Novel algorithms achieve nearly optimal sample complexity for estimating quantum Rényi and Tsallis entropies, matching known lower bounds up to polylogarithmic factors. Results close multiple gaps in entropy estimation theory.

#QuantumEntropy #QuantumInformationTheory #Research

Quantum entropy sources address critical blind spot in AI-driven development: current systems ignore entropy as foundational security, leaving encryption vulnerable. Secure pipelines with verified randomness, not algorithms alone.

#QuantumCryptography #QuantumEntropy #News

AI exposed fundamental PKI weaknesses spanning 50 years. Quantum entropy-based local key generation eliminates transmission risks, addressing the architectural blind spot that left cryptographic systems unobservable and uncontrolled.

#QuantumEntropy #PostQuantumSecurity #News

New counterexamples prove that minimum output p-Rényi entropy additivity fails for quantum channels when p>3/4 or 0≤p<1/4, narrowing the open problem range to [1/4, 3/4].

#QuantumEntropy #QuantumInformation #Research

New proof of a majorization relation for tensor product sums enables quantum entropy inequalities for density operators, extending Ky Fan's classical result to quantum systems using linear programming methods.

#QuantumEntropy #MathematicalPhysics #Research

Hilbert space is the abstract set of all quantum wave‑functions; each dimension represents a piece of information needed to specify a state. Larger spaces allow higher entropy; infinity often appears as a useful mathematical tool. https://youtu.be/9GV4QmQWJGU #HilbertSpace #QuantumEntropy

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