#QuantumEntropy
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
Constructive Violation of Quantum Channel Von Neumann Entropy Additivity
arxiv.org
September 22, 2026 at 8:54 AM
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
Partial Majorization and Schur Concave Functions on Quantum and Classical States
iq.fp2.dev
April 15, 2026 at 3:05 AM
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
Quantum Entropy Integration in Bitcoin Mining Infrastructure: A Fair Benchmarking Framework
arxiv.org
September 7, 2026 at 2:06 AM
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.

#QuantumInformation #QuantumEntropy #Research
Localizing Quantum Information Through Adjusted Von Neumann Entropy
iq.fp2.dev
September 3, 2026 at 8:18 AM
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
Axiomatic Characterization of Pseudo-Density Matrix Entropy
arxiv.org
September 1, 2026 at 3:46 AM
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
Nearly Sample-Optimal Estimators for Quantum Rényi and Tsallis Entropies
arxiv.org
August 19, 2026 at 2:37 AM
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
It's Black Boxes All the Way Down
www.qrypt.com
August 18, 2026 at 7:33 AM
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
AI Exposed PKI Vulnerabilities: Quantum Entropy as Infrastructure
www.qrypt.com
August 18, 2026 at 7:38 AM
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
Counterexamples to Minimum Output p-Rényi Entropy Additivity
arxiv.org
July 17, 2026 at 1:26 AM
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
Majorization Relations for Tensor Products of Positive Semidefinite Operators
arxiv.org
July 10, 2026 at 7:07 AM
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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August 25, 2025 at 8:03 PM