Researchers have developed a novel algorithm that simplifies calculations of quantum eigenstates by eliminating the need for summing over intermediate states, offering a complete analytical solution for a wide range of potentials.
![The system models a punctuated arrival process wherein intervals of length Δ are systematically removed, effectively deleting honest blocks and influencing a cumulative score-[latex]B(i)[latex]-that reflects the impact of these deletions on a fully-delayed chain, with the score growth within each interval-[latex]S_{b,i}[latex]-being statistically independent and identically distributed due to the consistent [latex]\Delta[/latex]-length removal.](https://arxiv.org/html/2601.09082v1/x2.png)
A new mathematical proof establishes, with greater rigor than ever before, that honest nodes will consistently outpace malicious actors in the Bitcoin network.
![Replica-coupled models-specifically independent, penalty-spin, and stacked configurations-explore diverse strategies for harnessing the power of [latex]P=5[/latex] replicas to navigate the inherent chaos within complex systems.](https://arxiv.org/html/2601.09462v1/x1.png)
Researchers have identified a superior architecture for mitigating errors in Ising machines, paving the way for more reliable solutions to complex optimization problems.
New research reveals fundamental constraints on asymptotic safety as a path toward a complete theory of quantum gravity, challenging its viability at extremely high energies.
A new analysis reveals critical vulnerabilities in RFID-based traceability systems and proposes a path-based authentication method to enhance security and protect sensitive data.
A new analysis reveals that cloning attacks pose a significant risk to applications leveraging Intel’s Software Guard Extensions, potentially compromising data confidentiality and integrity.
A new review explores how cryptography and differential privacy can enable collaborative machine learning without revealing sensitive data.
A new theoretical framework clarifies the boundaries of efficient error correction by quantifying the solution space for spatially-coupled LDPC codes.
![The study parameterizes bottom-strange meson decay form factors-specifically [latex] f_{+}^{s} [/latex] and [latex] f_{0}^{s} [/latex]-and finds results diverge from prior work due to deliberate choices in simulating heavy quark masses, highlighting the sensitivity of theoretical predictions to foundational assumptions.](https://arxiv.org/html/2601.09480v1/x1.png)
A new study leverages lattice QCD calculations to improve the precision of CKM matrix element determination by bridging the gap between inclusive and exclusive decay analyses.
A new protocol, Merged Bitcoin, proposes a shift in how proof-of-work blockchains secure networks by embracing multiple hashing algorithms.