Quantum 10, 1978 (2026). https://doi.org/10.22331/q-2026-01-21-1978 Transformations of transformations, also called higher-order transformations, is a natural concept in information processing, which has recently attracted significant interest in the study of quantum causal relations. In this work, […]
Quantum 10, 1977 (2026). https://doi.org/10.22331/q-2026-01-21-1977 Cluster states and graph states in general offer a useful model of the stabilizer formalism and a path toward the development of measurement-based quantum computation. Their defining structure – the […]
Quantum 10, 1976 (2026). https://doi.org/10.22331/q-2026-01-20-1976 Recent theoretical results in quantum machine learning have demonstrated a general trade-off between the expressive power of quantum neural networks (QNNs) and their trainability; as a corollary of these results, […]
Quantum 10, 1975 (2026). https://doi.org/10.22331/q-2026-01-20-1975 For many problems, quantum algorithms promise speedups over their classical counterparts. However, these results predominantly rely on asymptotic worst-case analysis, which overlooks significant overheads due to error correction and the […]
Quantum 10, 1974 (2026). https://doi.org/10.22331/q-2026-01-19-1974 A multi-product formula (MPF) is a promising approach for Hamiltonian simulation efficiently both in the system size $N$ and the inverse allowable error $1/varepsilon$ by combining Trotterization and the linear […]
Quantum 10, 1973 (2026). https://doi.org/10.22331/q-2026-01-19-1973 We consider the task of performing shadow tomography of a logical subsystem defined via the Gottesman-Kitaev-Preskill (GKP) error correcting code. Our protocol does not require the input state to be […]
Quantum 10, 1972 (2026). https://doi.org/10.22331/q-2026-01-19-1972 Photonic systems offer a promising platform for interconnecting quantum processors and enabling scalable, networked architectures. Designing and verifying such architectures requires a unified formalism that integrates linear algebraic reasoning with […]
Quantum 10, 1971 (2026). https://doi.org/10.22331/q-2026-01-19-1971 We introduce the $textit{stellar decomposition}$, a novel method for characterizing non-Gaussian states produced by photon-counting measurements on Gaussian states. Given an $(m+n)$-mode Gaussian state $G$, we express it as an […]
Quantum 10, 1970 (2026). https://doi.org/10.22331/q-2026-01-19-1970 The occurrence of a second-order quantum phase transition in the Dicke model is a well-established feature. On the contrary, a comprehensive understanding of the corresponding open system, particularly in the […]
Quantum 10, 1969 (2026). https://doi.org/10.22331/q-2026-01-19-1969 High-dimensional fractional reaction-diffusion equations have numerous applications in the fields of biology, chemistry, and physics, and exhibit a range of rich phenomena. While classical algorithms have an exponential complexity in […]
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