The authors design dimension-independent classical sketches that approximately preserve the trace distance between quantum states, supporting approximate database operations without full state tomography.
A Leap among Quantum Computing and Quantum Neural Networks: A Survey
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abstract
In recent years, Quantum Computing witnessed massive improvements in terms of available resources and algorithms development. The ability to harness quantum phenomena to solve computational problems is a long-standing dream that has drawn the scientific community's interest since the late 80s. In such a context, we propose our contribution. First, we introduce basic concepts related to quantum computations, and then we explain the core functionalities of technologies that implement the Gate Model and Adiabatic Quantum Computing paradigms. Finally, we gather, compare and analyze the current state-of-the-art concerning Quantum Perceptrons and Quantum Neural Networks implementations.
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Quantum Data Sketches
The authors design dimension-independent classical sketches that approximately preserve the trace distance between quantum states, supporting approximate database operations without full state tomography.