Quantum 6, 739 (2022). https://doi.org/10.22331/q-2022-06-17-739 Solving the time-dependent Schrödinger equation is an important application area for quantum algorithms. We consider Schrödinger’s equation in the semi-classical regime. Here the solutions exhibit strong multiple-scale behavior due to […]
Quantum 6, 738 (2022). https://doi.org/10.22331/q-2022-06-15-738 Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure […]
Quantum 6, 737 (2022). https://doi.org/10.22331/q-2022-06-14-737 We derive a universal nonperturbative bound on the distance between unitary evolutions generated by time-dependent Hamiltonians in terms of the difference of their integral actions. We apply our result to […]
Quantum 6, 736 (2022). https://doi.org/10.22331/q-2022-06-14-736 We investigate the homogeneous chiral edge theory of the filling $nu=4/3$ fractional quantum Hall state, which is parameterized by a Luttinger liquid velocity matrix and an electron tunneling amplitude (ignoring […]
Quantum 6, 735 (2022). https://doi.org/10.22331/q-2022-06-13-735 Genuine multipartite entanglement (GME) is considered a powerful form of entanglement since it corresponds to those states that are not biseparable, i.e. a mixture of partially separable states across different […]
Quantum 6, 734 (2022). https://doi.org/10.22331/q-2022-06-13-734 We examine the following problem: given a collection of Clifford gates, describe the set of unitaries generated by circuits composed of those gates. Specifically, we allow the standard circuit operations […]
Quantum 6, 733 (2022). https://doi.org/10.22331/q-2022-06-09-733 Motivated by the many-body localization (MBL) phase in generic interacting disordered quantum systems, we develop a model simulating the same eigenstate structure like in MBL, but in the random-matrix setting. […]
Quantum 6, 732 (2022). https://doi.org/10.22331/q-2022-06-07-732 Starting from arbitrary sets of quantum states and measurements, referred to as the prepare-and-measure scenario, an operationally noncontextual ontological model of the quantum statistics associated with the prepare-and-measure scenario is […]
Quantum 6, 731 (2022). https://doi.org/10.22331/q-2022-06-07-731 The notion of topology in physical systems is associated with the existence of a nonlocal ordering that is insensitive to a large class of perturbations. This brings robustness to the […]
Quantum 6, 730 (2022). https://doi.org/10.22331/q-2022-06-07-730 We propose an algorithm based on variational quantum imaginary time evolution for solving the Feynman-Kac partial differential equation resulting from a multidimensional system of stochastic differential equations. We utilize the […]
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