Quantum 8, 1228 (2024). https://doi.org/10.22331/q-2024-01-15-1228 We study how parallelism can speed up quantum simulation. A parallel quantum algorithm is proposed for simulating the dynamics of a large class of Hamiltonians with good sparse structures, called […]
Quantum 8, 1227 (2024). https://doi.org/10.22331/q-2024-01-11-1227 We discuss the construction of a microcanonical projection WOW of a quantum operator O induced by an energy window filter W, its spectrum, and the retrieval of canonical many-time correlations […]
Quantum 8, 1226 (2024). https://doi.org/10.22331/q-2024-01-11-1226 The cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $textit{block encoding}$ circuits, the input model for the […]
Quantum 8, 1225 (2024). https://doi.org/10.22331/q-2024-01-11-1225 Quantum support vector machines employ quantum circuits to define the kernel function. It has been shown that this approach offers a provable exponential speedup compared to any known classical algorithm […]
Quantum 8, 1224 (2024). https://doi.org/10.22331/q-2024-01-10-1224 We introduce a framework to compute upper bounds for temporal correlations achievable in open quantum system dynamics, obtained by repeated measurements on the system. As these correlations arise by virtue […]
Quantum 8, 1223 (2024). https://doi.org/10.22331/q-2024-01-10-1223 Quantum mechanics does not provide any ready recipe for defining energy density in space, since the energy and coordinate do not commute. To find a well-motivated energy density, we start […]
Quantum 8, 1222 (2024). https://doi.org/10.22331/q-2024-01-10-1222 In this paper we aim to push the analogy between thermodynamics and quantum resource theories one step further. Previous inspirations were based predominantly on thermodynamic considerations concerning scenarios with a […]
Quantum 8, 1221 (2024). https://doi.org/10.22331/q-2024-01-10-1221 Ground states of local Hamiltonians are of key interest in many-body physics and also in quantum information processing. Efficient verification of these states are crucial to many applications, but very […]
Quantum 8, 1220 (2024). https://doi.org/10.22331/q-2024-01-10-1220 There is a folkloric belief that a depth-$Theta(m)$ quantum circuit is needed to estimate the trace of the product of $m$ density matrices (i.e., a multivariate trace), a subroutine crucial […]
Quantum 8, 1219 (2024). https://doi.org/10.22331/q-2024-01-04-1219 Utilizing quantum computer to investigate quantum chemistry is an important research field nowadays. In addition to the ground-state problems that have been widely studied, the determination of excited-states plays a […]
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