This review details the construction of novel Euclidean and Hermitian LCD codes derived from generalized Roth-Lempel codes, offering a new approach to building robust error-correcting systems.
![Discretization error overwhelmingly dominates performance at high tail percentiles, evidenced by a [latex]146K[/latex] error at the 90th percentile, while a quantum advantage of 2-2.5× emerges in oracle-model comparisons only at the 95th and 97th percentiles, suggesting a narrow operating regime for quantum benefit.](https://arxiv.org/html/2603.15664v1/plot_exp4_tail.png)
New research demonstrates the potential of quantum amplitude estimation to significantly improve the accuracy and efficiency of tail-risk pricing for catastrophe insurance.
A novel theory proposes that the likelihood of quantum state collapse increases with the interconnectedness of quantum degrees of freedom, potentially resolving the long-standing measurement problem.
New research reveals a surprising link between quantum cluster algebras and knot theory, offering a novel approach to understanding the complex properties of these mathematical structures.
![The study rigorously examines the behavior of exchange-correlation (XC) functionals as a function of density, specifically at an interaction strength of [latex]U=4[/latex], revealing that both the XC energy density [latex]\varepsilon_{XC} = E_{XC}/L[/latex] and the corresponding XC potential [latex]v_{XC}[/latex] remain consistent across varying lattice sizes along the non-magnetic line [latex]n_{\uparrow} = n_{\downarrow}[/latex], while spin-resolved analysis demonstrates comparable trends for XC energy and potential [latex]v_{XC}^{\uparrow}[/latex] as a function of [latex]n_{\uparrow}[/latex], confirmed by agreement between Variational Quantum Eigensolver (VQE) results and exact diagonalization calculations performed at half filling with [latex](N_{\uparrow}, N_{\downarrow}) = (L/2, L/2)[/latex] for even <i>L</i>, utilizing a minimum number of evolution layers to ensure fidelity exceeding 0.99 in each spin sector.](https://arxiv.org/html/2603.16605v1/x4.png)
Researchers are leveraging the power of quantum computing to calculate the complex interactions within strongly correlated materials, paving the way for more accurate material simulations.
![The system proposes an agentic artificial intelligence architecture fundamentally secured against quantum attacks through its very design, bypassing the need for post-hoc cryptographic defenses often vulnerable to future computation advances [latex] \implies [/latex] a proactive approach to long-term security in increasingly complex AI systems.](https://arxiv.org/html/2603.15668v1/HighLevelArchwithagentblock.png)
A new framework integrates post-quantum cryptography and quantum communication to establish resilient and trustworthy interactions between distributed AI agents.
A new protocol leverages the often-overlooked data within git commit messages to provide AI coding assistants with valuable context and preserve institutional knowledge.
New research reveals fundamental obstructions to consistent compactifications of F-theory, showing how quantum effects invalidate standard perturbative expansions.
New research delves into the structure and decay of tetraquark particles containing hidden strangeness, potentially revealing new insights into the strong force.
New research reveals that the ability to reason, not simply retrieve information, is the key constraint in graph-based retrieval-augmented generation systems.