Investigates which quantum encodings of classical datasets preserve persistent homology so that quantum algorithms can extract topological features directly from the data.
Quantum Networks for Generating Arbitrary Quantum States
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abstract
Quantum protocols often require the generation of specific quantum states. We describe a quantum algorithm for generating any prescribed quantum state. For an important subclass of states, including pure symmetric states, this algorithm is efficient.
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UNVERDICTED 2representative citing papers
Quantum algorithm for k-minima with O(sqrt(k N)) query complexity via threshold search and generalized amplitude amplification.
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Quantum encodings that preserve persistent homology
Investigates which quantum encodings of classical datasets preserve persistent homology so that quantum algorithms can extract topological features directly from the data.
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A Quantum Algorithm for Finding $k$-Minima
Quantum algorithm for k-minima with O(sqrt(k N)) query complexity via threshold search and generalized amplitude amplification.