Paper Dual-unitary shadow tomography Ahmed A. Akhtar, Namit Anand, Jeffrey Marshall, and Yi-Zhuang You, Quantum 9, 1816 (2025). We introduce “dual-unitary shadow tomography'' (DUST), a classical shadow tomography protocol based on dual-unitary brick-wall circuits. To quantify the performance of DUST, we study operato…
Paper Conservation Laws For Every Quantum Measurement Outcome Daniel Collins and Sandu Popescu, Quantum 9, 1815 (2025). In the paradigmatic example of quantum measurements, whenever one measures a system which starts in a superposition of two states of a conserved quantity, it jumps to one of the two states,…
Paper Exact Model Reduction for Continuous-Time Open Quantum Dynamics Tommaso Grigoletto, Yukuan Tao, Francesco Ticozzi, and Lorenza Viola, Quantum 9, 1814 (2025). We consider finite-dimensional many-body quantum systems described by time-independent Hamiltonians and Markovian master equations, and present a systematic method for constructing smaller-d…
Paper Quantum Learning Theory Beyond Batch Binary Classification Preetham Mohan and Ambuj Tewari, Quantum 9, 1813 (2025). Arunachalam and de Wolf (2018) [1] showed that the sample complexity of quantum batch learning of boolean functions, in the realizable and agnostic settings, has the…
Paper Low variance estimations of many observables with tensor networks and informationally-complete measurements Stefano Mangini and Daniel Cavalcanti, Quantum 9, 1812 (2025). Accurately estimating the properties of quantum systems is a central challenge in quantum computing and quantum information. We propose a method to obtain unbiased estimators of multiple obs…
Paper Experiments with Schrödinger Cellular Automata Kees van Berkel, Jan de Graaf, and Kees van Hee, Quantum 9, 1811 (2025). We derive a class of cellular automata for the Schrödinger Hamiltonian, including scalar and vector potentials. It is based on a multi-split of the Hamiltonian, resulting in a multi-step uni…
Paper Circuit-level fault tolerance of cat codes Long D. H. My, Shushen Qin, and Hui Khoon Ng, Quantum 9, 1810 (2025). Bosonic codes encode quantum information into a single infinite-dimensional physical system endowed with error correction capabilities. This reduces the need for complex management of many p…
Paper Graphical Framework for Non-Gaussian Quantum States Lina Vandré, Boxuan Jing, Yu Xiang, Otfried Gühne, and Qiongyi He, Quantum 9, 1809 (2025). We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and m…
Paper Critical spin models from holographic disorder Dimitris Saraidaris and Alexander Jahn, Quantum 9, 1808 (2025). Discrete models of holographic dualities, typically modeled by tensor networks on hyperbolic tilings, produce quantum states with a characteristic quasiperiodic disorder not present in conti…
Paper Certifying nonlocal properties of noisy quantum operations Albert Rico, Moisés Bermejo Morán, Fereshte Shahbeigi, and Karol Życzkowski, Quantum 9, 1807 (2025). Certifying quantum properties from the probability distributions they induce is an important task for several purposes. While this framework has been largely explored and used for quantum st…
Paper The Cramér-Rao approach and global quantum estimation of bosonic states Masahito Hayashi and Yingkai Ouyang, Quantum 9, 1806 (2025). Quantum state estimation is a fundamental task in quantum information theory, where one estimates real parameters continuously embedded in a family of quantum states. In the theory of quantu…
Paper Dictionary-based Block Encoding of Sparse Matrices with Low Subnormalization and Circuit Depth Chunlin Yang, Zexian Li, Hongmei Yao, Zhaobing Fan, Guofeng Zhang, and Jianshe Liu, Quantum 9, 1805 (2025). Block encoding severs as an important data input model in quantum algorithms, enabling quantum computers to simulate non-unitary operators effectively. In this paper, we propose an efficient…
Paper Bounds on Autonomous Quantum Error Correction Oles Shtanko, Yu-Jie Liu, Simon Lieu, Alexey V. Gorshkov, and Victor V. Albert, Quantum 9, 1804 (2025). Autonomous quantum memories are a way to passively protect quantum information using engineered dissipation that creates an “always-on'' decoder. We analyze Markovian autonomous decoders tha…
Paper Neural Projected Quantum Dynamics: a systematic study Luca Gravina, Vincenzo Savona, and Filippo Vicentini, Quantum 9, 1803 (2025). We investigate the challenge of classical simulation of unitary quantum dynamics with variational Monte Carlo approaches, addressing the instabilities and high computational demands of exist…
Paper Symmetry verification for noisy quantum simulations of non-Abelian lattice gauge theories Edoardo Ballini, Julius Mildenberger, Matteo M. Wauters, and Philipp Hauke, Quantum 9, 1802 (2025). Non-Abelian gauge theories underlie our understanding of fundamental forces of modern physics. Simulating them on quantum hardware is an outstanding challenge in the rapidly evolving field o…
Paper Probing quantum complexity via universal saturation of stabilizer entropies Tobias Haug, Leandro Aolita, and M.S. Kim, Quantum 9, 1801 (2025). Nonstabilizerness or `magic' is a key resource for quantum computing and a necessary condition for quantum advantage. Non-Clifford operations turn stabilizer states into resourceful states,…
