Pdf Block Encoding Structured Matrices For Data Input In Quantum

Revolutionizing Quantum Computing Optimizing Data Input With Block View a pdf of the paper titled block encoding structured matrices for data input in quantum computing, by christoph s\"underhauf and 2 other authors. In this article, we will study how to input structured data eficiently and provide a scheme that facilitates the construction of explicit quantum circuits for input of structured data matrices, demonstrated by several examples.

Pdf Block Encoding Structured Matrices For Data Input In Quantum Here, we consider data input of arithmetically structured matrices via block encoding circuits, the input model for the quantum singular value transform and related algorithms. In this article, we will study how to input structured data efficiently and provide a scheme that facilitates the construction of explicit quantum circuits for input of structured data matrices, demonstrated by several examples. A particularly widespread method of representing numerical data matrices on quantum computers is in the form of “block encodings”. in this research article, we present a new set of schemes how data can be loaded into block encodings. This work demonstrates how to construct block encoding circuits based on an arithmetic description of the sparsity and pattern of repeated values of a matrix, and presents schemes yielding different subnormalisations of the block encoding.

Using Block Encoding Matrices For Data Input To Speed Up Algorithms A particularly widespread method of representing numerical data matrices on quantum computers is in the form of “block encodings”. in this research article, we present a new set of schemes how data can be loaded into block encodings. This work demonstrates how to construct block encoding circuits based on an arithmetic description of the sparsity and pattern of repeated values of a matrix, and presents schemes yielding different subnormalisations of the block encoding. Block encoding is a powerful technique in quantum computing that allows us to implement a non unitary operation in a quantum circuit by embedding the operation in a larger unitary gate.