Quantum 10, 2065 (2026). https://doi.org/10.22331/q-2026-04-13-2065 Estimating spectral gaps of quantum many-body Hamiltonians is a highly challenging computational task, even under assumptions of locality and translation-invariance. Yet, the quest for rigorous gap certificates is motivated by […]
Quantum 10, 2064 (2026). https://doi.org/10.22331/q-2026-04-13-2064 The solutions to many problems in the mathematical, computational, and physical sciences often involve multidimensional integrals. A direct numerical evaluation of the integral incurs a computational cost that is exponential […]
Quantum 10, 2063 (2026). https://doi.org/10.22331/q-2026-04-13-2063 Quantum simulation has emerged as a key application of quantum computing, with significant progress made in algorithms for simulating both closed and open quantum systems. The simulation of open quantum […]
Quantum 10, 2062 (2026). https://doi.org/10.22331/q-2026-04-13-2062 Efficient parametrizations of quantum states are essential for trainable hybrid classical-quantum algorithms. A key challenge in their design consists in adapting to the available qubit connectivity of the quantum processor, […]
Quantum 10, 2061 (2026). https://doi.org/10.22331/q-2026-04-13-2061 Encoding logical qubits with surface codes and performing multi-qubit logical operations with lattice surgery is one of the most promising approaches to demonstrate fault-tolerant quantum computing. Thus, a method to […]
Quantum 10, 2060 (2026). https://doi.org/10.22331/q-2026-04-13-2060 We propose a general framework for computing Retarded Green’s Functions (RGFs) on quantum computers by recasting their evaluation as a problem of circuit differentiation. Our proposal is based on real-time […]
Quantum 10, 2059 (2026). https://doi.org/10.22331/q-2026-04-10-2059 Non-stabilizerness, also known as “magic,” quantifies how far a quantum state departs from the stabilizer set. It is a central resource behind quantum advantage and a useful probe of the […]
Quantum 10, 2058 (2026). https://doi.org/10.22331/q-2026-04-10-2058 Topological invariants of a dataset, such as the number of holes that survive from one length scale to another (persistent Betti numbers) can be used to analyze and classify data […]
Quantum 10, 2057 (2026). https://doi.org/10.22331/q-2026-04-08-2057 We show that the Zassenhaus decomposition for the exponential of the sum of two non-commuting operators, simplifies drastically when these operators satisfy a simple condition, called the no-mixed adjoint property. […]
Quantum 10, 2056 (2026). https://doi.org/10.22331/q-2026-04-08-2056 We devise a deterministic quantum algorithm to produce antisymmetric states of single-particle orbitals in the first quantization mapping. Unlike sorting-based antisymmetrization algorithms, which require ordered input states and high Clifford-gate […]
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