Quantum-computing within a bosonic context: Assessing finite basis effects on prototypical vibrational Hamiltonian spectra

This paper investigates the impact of truncating infinite bosonic basis sets on the accuracy of vibrational Hamiltonian spectra in quantum computing, specifically highlighting how basis closure disruption affects matrix element evaluation and variational convergence through numerical analysis of a double-well potential model.

Joachim Knapik, Bruno Senjean, Benjamin Lasorne + 1 more2026-03-05⚛️ quant-ph

An Efficient Decomposition of the Carleman Linearized Burgers' Equation

This paper introduces an efficient polylogarithmic decomposition method that embeds the Carleman linearized 1D Burgers' equation into a block-encoded system solvable by the Variational Quantum Linear Solver, achieving a two-qubit gate depth of O(α(lognx)2)\mathcal{O}(\alpha(\log n_x)^2) and marking the first efficient data loading approach for such systems.

Reuben Demirdjian, Thomas Hogancamp, Daniel Gunlycke2026-03-05⚛️ quant-ph

Kirkwood-Dirac Nonpositivity is a Necessary Resource for Quantum Computing

This paper establishes Kirkwood-Dirac nonpositivity as a necessary resource for quantum computational advantage by demonstrating that quantum algorithms maintain a proper probability distribution throughout their execution only when the underlying states are Kirkwood-Dirac positive, thereby enabling efficient classical simulation and identifying new classically-simulable qubit states.

Jonathan J. Thio, Songqinghao Yang, Stephan De Bièvre + 2 more2026-03-05⚛️ quant-ph

Timed demolition measurements

This paper investigates the characterization and predictability of closed quantum systems with unknown parameters under energy constraints, revealing that specific measurement datasets can uniquely identify system properties ("self-testing") while demonstrating that future predictions may require superexponential precision or exhibit paradoxical phenomena like "aha! datasets" and "fog banks."

Konstantinos Manos, Mirjam Weilenmann, Miguel Navascues2026-03-05⚛️ quant-ph

Field digitization scaling in a ZNU(1)\mathbb{Z}_N \subset U(1) symmetric model

This paper proposes a "field digitization scaling" framework that treats the number of discrete field values NN as a renormalization group coupling, successfully applying it to relate the 2D classical clock model to the XY model and its quantum gauge theory counterpart to enable continuum limit analysis in quantum simulations.

Gabriele Calliari, Robert Ott, Hannes Pichler + 1 more2026-03-05⚛️ quant-ph