Mirror modular cloning and fast quantum associative retrieval

TL;DR

This paper introduces a quantum cloning method that mirrors states, enabling efficient associative memory retrieval with exponential information capacity and a faster retrieval algorithm than Grover's, enhancing quantum information processing.

Contribution

It presents a novel quantum cloning technique based on state mirroring, improving quantum associative memory capacity and retrieval speed.

Findings

Quantum state can be perfectly cloned up to global mirroring.

Quantum associative memories hold exponentially more information than classical.

The proposed retrieval algorithm is exponentially faster than Grover's.

Abstract

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.