Quantum 9, 1841 (2025). https://doi.org/10.22331/q-2025-08-29-1841 Variational quantum algorithms are viewed as promising candidates for demonstrating quantum advantage on near-term devices. These approaches typically involve the training of parameterized quantum circuits through a classical optimization loop. […]
Quantum 9, 1840 (2025). https://doi.org/10.22331/q-2025-08-29-1840 Quantum error mitigation is regarded as a possible path to near-term quantum utility. The methods under the quantum error mitigation umbrella term, such as probabilistic error cancellation (PEC), zero-noise extrapolation […]
Quantum 9, 1839 (2025). https://doi.org/10.22331/q-2025-08-28-1839 We prove that $sf{QMA}$ where the verifier may also make a single $non-collapsing$ measurement [7] is equal to $sf{NEXP}$, resolving an open question of Aaronson [5]. We show this is […]
Quantum 9, 1838 (2025). https://doi.org/10.22331/q-2025-08-28-1838 Quantum computers are a highly promising tool for efficiently simulating quantum many-body systems. The preparation of their eigenstates is of particular interest and can be addressed, e.g., by quantum phase […]
Quantum 9, 1837 (2025). https://doi.org/10.22331/q-2025-08-27-1837 We derive a set of genuine multi-mode entanglement criteria for second moments of the quadrature operators. The criteria have a common form of the uncertainty relation between sums of variances […]
Quantum 9, 1836 (2025). https://doi.org/10.22331/q-2025-08-27-1836 Ground state energy estimation in physical, chemical, and materials sciences is one of the most promising applications of quantum computing. In this work, we introduce a new hybrid approach that […]
Quantum 9, 1835 (2025). https://doi.org/10.22331/q-2025-08-27-1835 We propose a two step strategy for estimating one-dimensional dynamical parameters of a quantum Markov chain, which involves quantum post-processing the output using a coherent quantum absorber and a “pattern […]
Quantum 9, 1834 (2025). https://doi.org/10.22331/q-2025-08-27-1834 Quantum signal processing (QSP) is a methodology for constructing polynomial transformations of a linear operator encoded in a unitary. Applied to an encoding of a state $rho$, QSP enables the […]
Quantum 9, 1833 (2025). https://doi.org/10.22331/q-2025-08-27-1833 We significantly enhance the simulation accuracy of initial Trotter circuits for Hamiltonian simulation of quantum systems by integrating first-order Riemannian optimization with tensor network methods. Unlike previous approaches, our method […]
Quantum 9, 1832 (2025). https://doi.org/10.22331/q-2025-08-27-1832 Estimating the trace of quantum state powers, $text{Tr}(rho^k)$, for $k$ identical quantum states is a fundamental task with numerous applications in quantum information processing, including nonlinear function estimation of quantum […]
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