As a weapon of war, destroying cultural heritage sites is a common method by armed invaders to deprive a community of their distinct identity. It was no surprise then, in February of 2022, as Russian […]
Category: singularityhub
Quantum 7, 1168 (2023). https://doi.org/10.22331/q-2023-11-06-1168 When a time propagator $e^{delta t A}$ for duration $delta t$ consists of two noncommuting parts $A=X+Y$, Trotterization approximately decomposes the propagator into a product of exponentials of $X$ and […]
Quantum 7, 1167 (2023). https://doi.org/10.22331/q-2023-11-06-1167 A milestone in the field of quantum computing will be solving problems in quantum chemistry and materials faster than state-of-the-art classical methods. The current understanding is that achieving quantum advantage […]
Quantum 7, 1166 (2023). https://doi.org/10.22331/q-2023-11-06-1166 Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, they do […]
Quantum 7, 1165 (2023). https://doi.org/10.22331/q-2023-11-06-1165 Quantum phase estimation is one of the critical building blocks of quantum computing. For early fault-tolerant quantum devices, it is desirable for a quantum phase estimation algorithm to (1) use […]
Quantum 7, 1164 (2023). https://doi.org/10.22331/q-2023-11-06-1164 Over the past three decades significant reductions have been made to the cost of estimating ground-state energies of molecular Hamiltonians with quantum computers. However, comparatively little attention has been paid […]
Quantum 7, 1163 (2023). https://doi.org/10.22331/q-2023-11-03-1163 Simulating properties of quantum materials is one of the most promising applications of quantum computation, both near- and long-term. While real-time dynamics can be straightforwardly implemented, the finite temperature ensemble […]
Quantum 7, 1162 (2023). https://doi.org/10.22331/q-2023-11-03-1162 A unifying formalism of generalized conditional expectations (GCEs) for quantum mechanics has recently emerged, but its physical implications regarding the retrodiction of a quantum observable remain controversial. To address the […]
Quantum 7, 1161 (2023). https://doi.org/10.22331/q-2023-11-03-1161 Landauer’s principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of […]
Quantum 7, 1160 (2023). https://doi.org/10.22331/q-2023-11-03-1160 The star-triangle relation plays an important role in the realm of exactly solvable models, offering exact results for classical two-dimensional statistical mechanical models. In this article, we construct integrable quantum […]
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