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Efficient Equivalent of Shallow Quantum Hashing
Ilnar Zinnatullin, Alexander Vasiliev·November 24, 2025
Quantum Physics
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Abstract
Quantum hashing is a widely used technique in quantum computation that allows us to design space-efficient algorithms and protocols. Recently, Vasiliev has shown that the phase form of shallow quantum hashing can be implemented by a circuit of depth 2. In this paper, we establish a connection between shallow quantum hashing and single-qubit quantum hashing for the amplitude form. For a shallow circuit, we propose a circuit of depth 1 that achieves the same collision resistance.