PANDAExpress: a Simpler and Faster PANDA Algorithm

This paper introduces PANDAExpress, a novel algorithm that eliminates the impractical polylogarithmic factor of the original PANDA framework by employing a new probabilistic inequality and a dynamic hyperplane partitioning scheme, thereby achieving optimal, specialized-algorithm-level runtimes for conjunctive queries and disjunctive datalog rules under arbitrary degree constraints while maintaining full generality.

Mahmoud Abo Khamis, Hung Q. Ngo, Dan Suciu2026-03-05🔢 math

Fundamental Limits of Bistatic Integrated Sensing and Communications over Memoryless Relay Channels

This paper investigates the fundamental communication-sensing tradeoffs in bistatic integrated sensing and communications over memoryless relay channels by deriving an upper bound and a hybrid-partial-decode-and-compress-forward lower bound for the capacity-distortion function, demonstrating their optimality in specific cases and the benefits of integrated design.

Yao Liu, Min Li, Lawrence Ong + 1 more2026-03-05🔢 math

Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivity

This paper presents a sample-optimal, locally differentially private algorithm for hypothesis selection that achieves the information-theoretic lower bound of Θ(k/(α2min{ε2,1}))\Theta(k/(\alpha^2 \min\{\varepsilon^2, 1\})) using only O(loglogk)O(\log \log k) rounds of interaction, thereby demonstrating the provable power of interactivity to overcome the Ω(klogk)\Omega(k \log k) sample complexity barrier inherent in non-interactive approaches.

Alireza F. Pour, Hassan Ashtiani, Shahab Asoodeh2026-03-05🤖 cs.LG

On Error Thresholds for Pauli Channels: Some answers with many more questions

This paper numerically investigates error thresholds for Pauli channels using coset weight enumerators to demonstrate significant non-additivity in small concatenated stabilizer codes, derive closed-form expressions for repetition codes, and provide both positive and negative results alongside counterintuitive observations to inform future lower bound research.

Avantika Agarwal, Alan Bu, Amolak Ratan Kalra + 3 more2026-03-05⚛️ quant-ph

Barycentric bounds on the error exponents of quantum hypothesis exclusion

This paper establishes new, improved, single-letter upper bounds on the error exponents for quantum state and channel exclusion tasks by introducing a multivariate barycentric Chernoff divergence, which also yields the first efficiently computable bound for symmetric binary channel discrimination and solves the exact error exponent for classical channel exclusion.

Kaiyuan Ji, Hemant K. Mishra, Milán Mosonyi + 1 more2026-03-05⚛️ quant-ph

Quantum error correction beyond SU(2)SU(2): spin, bosonic, and permutation-invariant codes from convex geometry

This paper establishes a unified framework based on convex geometry and SU(q)SU(q) representations to construct and inter-convert quantum error-correcting codes across permutation-invariant, bosonic, and nuclear state spaces, yielding new families with near-linear distance scaling and improved parameters through the application of Tverberg's theorem and Sidon sets.

Arda Aydin, Victor V. Albert, Alexander Barg2026-03-04⚛️ quant-ph

Self-restricting Noise and Exponential Relative Entropy Decay Under Unital Quantum Markov Semigroups

This paper demonstrates that while the combination of Hamiltonian evolution and dissipation in unital quantum Markov semigroups can initially violate complete modified logarithmic Sobolev inequalities, exponential relative entropy decay eventually re-emerges at finite timescales, with a rate inversely bounded by the dissipative strength in the regime of "self-restricting noise" where strong damping suppresses noise spreading.

Nicholas LaRacuente2026-03-04⚛️ quant-ph

Discrete-modulation continuous-variable quantum key distribution with probabilistic amplitude shaping over a linear quantum channel

This paper investigates a discrete-modulation continuous-variable quantum key distribution protocol employing probabilistic amplitude shaping with QAM over a linear quantum channel, demonstrating that it closely approaches the performance of the Gaussian-modulated GG02 benchmark in terms of secure key rates and distance while overcoming practical implementation difficulties.

Emanuele Parente, Michele N. Notarnicola, Stefano Olivares + 3 more2026-03-03⚛️ quant-ph