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 […]
Quantum 10, 1968 (2026). https://doi.org/10.22331/q-2026-01-16-1968 We show in this paper that a strong and easy connection exists between quantum error correction and Lattice Gauge Theories (LGT) by using the Gauge symmetry to construct an efficient […]
Quantum 10, 1967 (2026). https://doi.org/10.22331/q-2026-01-16-1967 Recent research has shown that syndrome-based belief propagation using layered scheduling (sLBP) can not only accelerate the convergence rate but also improve the error rate performance by breaking the quantum […]
Quantum 10, 1966 (2026). https://doi.org/10.22331/q-2026-01-16-1966 We demonstrate a fundamental relation between the structures of physical space and of quantum theory: the set of quantum correlations in a rotational prepare-and-measure scenario can be derived from covariance […]
Quantum 10, 1965 (2026). https://doi.org/10.22331/q-2026-01-14-1965 The geometric properties of quantum states are crucial for understanding many physical phenomena in quantum mechanics, condensed matter physics, and optics. The central object describing these properties is the quantum […]
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