Quantum 8, 1527 (2024). https://doi.org/10.22331/q-2024-11-19-1527 In an important recent development, Anshu, Breuckmann, and Nirkhe [3] resolved positively the so-called No Low-Energy Trivial State (NLTS) conjecture by Freedman and Hastings. The conjecture postulated the existence of […]
Quantum 8, 1526 (2024). https://doi.org/10.22331/q-2024-11-18-1526 A surprising ‘converse to the polynomial method’ of Aaronson et al. (CCC’16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to […]
Quantum 8, 1525 (2024). https://doi.org/10.22331/q-2024-11-14-1525 The extension of the Rayleigh-Ritz variational principle to ensemble states $rho_{mathbf{w}}equivsum_k w_k |Psi_krangle langlePsi_k|$ with fixed weights $w_k$ lies ultimately at the heart of several recent methodological developments for targeting […]
Quantum 8, 1524 (2024). https://doi.org/10.22331/q-2024-11-14-1524 Observational entropy captures both the intrinsic uncertainty of a thermodynamic state and the lack of knowledge due to coarse-graining. We demonstrate two interpretations of observational entropy, one as the statistical […]
Quantum 8, 1523 (2024). https://doi.org/10.22331/q-2024-11-14-1523 Quantum re-uploading models have been extensively investigated as a form of machine learning within the context of variational quantum algorithms. Their trainability and expressivity are not yet fully understood and […]
Quantum 8, 1522 (2024). https://doi.org/10.22331/q-2024-11-13-1522 Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just […]
Quantum 8, 1521 (2024). https://doi.org/10.22331/q-2024-11-13-1521 We develop closed-form expressions for the moments and cumulants of Gaussian states when measured in the photon-number basis. We express the photon-number moments of a Gaussian state in terms of […]
Quantum 8, 1520 (2024). https://doi.org/10.22331/q-2024-11-11-1520 Quantum simulation holds promise of enabling a complete description of high-energy scattering processes rooted in gauge theories of the Standard Model. A first step in such simulations is preparation of […]
Quantum 8, 1519 (2024). https://doi.org/10.22331/q-2024-11-07-1519 Quantum kernel methods are a proposal for achieving quantum computational advantage in machine learning. They are based on a hybrid classical-quantum computation where a function called the quantum kernel is […]
Quantum 8, 1518 (2024). https://doi.org/10.22331/q-2024-11-07-1518 One of quantum theory’s salient features is its apparent indeterminism, i.e. measurement outcomes are typically probabilistic. We formally define and address whether this uncertainty is unavoidable or whether post-quantum theories […]
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