Quantum 6, 745 (2022). https://doi.org/10.22331/q-2022-06-27-745 We design and analyze two new low depth algorithms for amplitude estimation (AE) achieving an optimal tradeoff between the quantum speedup and circuit depth. For $beta in (0,1]$, our algorithms […]
Quantum 6, 744 (2022). https://doi.org/10.22331/q-2022-06-27-744 Evolutions of local Hamiltonians in short times are expected to remain local and thus limited. In this paper, we validate this intuition by proving some limitations on short-time evolutions of […]
Quantum 6, 744 (2022). https://doi.org/10.22331/q-2022-06-23-744 Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the $regularized$ finite-temperature OTOC. […]
Quantum 6, 743 (2022). https://doi.org/10.22331/q-2022-06-23-743 We study the problem of estimating the temperature of Gaussian systems with feasible measurements, namely Gaussian and photo-detection-like measurements. For Gaussian measurements, we develop a general method to identify the […]
Quantum 6, 742 (2022). https://doi.org/10.22331/q-2022-06-20-742 Universal gate sets for quantum computing have been known for decades, yet no universal gate set has been proposed for particle-conserving unitaries, which are the operations of interest in quantum […]
Quantum 6, 741 (2022). https://doi.org/10.22331/q-2022-06-20-741 We introduce a novel model of multipartite entanglement based on topological links, generalizing the graph/hypergraph entropy cone program. We demonstrate that there exist link representations of entropy vectors which provably […]
Quantum 6, 740 (2022). https://doi.org/10.22331/q-2022-06-20-740 We design faster-than-adiabatic state transfers (switching of quantum numbers) in time-dependent coupled-oscillator Hamiltonians. The manipulation to drive the process is found using a two-dimensional invariant recently proposed in S. Simsek […]
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 […]
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