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 […]
Quantum 8, 1218 (2024). https://doi.org/10.22331/q-2024-01-04-1218 The amount of information that a noisy channel can transmit has been one of the primary subjects of interest in information theory. In this work we consider a practically-motivated family […]
Quantum 8, 1217 (2024). https://doi.org/10.22331/q-2024-01-03-1217 The notion of macrorealism was introduced by Leggett and Garg in an attempt to capture our intuitive conception of the macroscopic world, which seems difficult to reconcile with our knowledge […]
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