Mirror modular cloning and fast quantum associative retrieval
This addresses a fundamental limitation in quantum computing for applications like quantum memory and information retrieval, though it appears incremental as it builds on existing quantum cloning and associative memory concepts.
The paper tackles the problem of quantum state cloning limitations by demonstrating perfect cloning up to global mirroring with a single-parameter unitary transformation, which enables quantum associative memories to store exponentially more information than classical ones. It also presents a quantum associative retrieval algorithm that corrects corrupted inputs and is exponentially faster than Grover's algorithm.
We show that a quantum state can be perfectly cloned up to global mirroring with a unitary transformation that depends on one single parameter. We then show that this is equivalent to "perfect" cloning for quantum associative memories which, as a consequence efficiently hold exponentially more information than their classical counterparts. Finally, we present a quantum associative retrieval algorithm which can correct corrupted inputs and is exponentially faster than the Grover algorithm.