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 […]
Quantum 10, 1964 (2026). https://doi.org/10.22331/q-2026-01-14-1964 In the flavour of categorical quantum mechanics, we extend nonlocal games to allow quantum questions and answers, using quantum sets (special symmetric dagger Frobenius algebras) and the quantum functions of […]
Quantum 10, 1963 (2026). https://doi.org/10.22331/q-2026-01-14-1963 Conventionally in quantum sensing, the goal is to estimate one or more unknown parameters that are assumed to be deterministic – that is, they do not change between shots of […]
Quantum 10, 1962 (2026). https://doi.org/10.22331/q-2026-01-14-1962 We establish a unified statistical framework that underscores the crucial role statistical inference plays in Quantum Amplitude Estimation (QAE), a task essential to fields ranging from chemistry to finance and […]
Quantum 10, 1961 (2026). https://doi.org/10.22331/q-2026-01-08-1961 Self-testing identifies quantum states and correlations that exhibit nonlocality, distinguishing them, up to local transformations, from other quantum states. Due to their strong nonlocality, it is known that all graph […]
Quantum 10, 1960 (2026). https://doi.org/10.22331/q-2026-01-08-1960 We introduce a new framework for quantifying the complexity of quantum channels, grounded in a suitably chosen resource set. This class of convex functions is designed to analyze the complexity […]
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