# Mirror modular cloning and fast quantum associative retrieval

arXiv: https://arxiv.org/abs/2206.01644 · HTML: https://mlsanity.com/paper/2206.01644/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 24 references that are in the map.
- First posted on arXiv 3 Jun 2022.

## Builds on (most cited first, 3 of 3)

- [Supervised learning with quantum enhanced feature spaces](https://mlsanity.com/paper/1804.11326/) (2018)
- [Parametric Probabilistic Quantum Memory](https://mlsanity.com/paper/2001.04798/) (2020)
- [EP-PQM: Efficient Parametric Probabilistic Quantum Memory with Fewer Qubits and Gates](https://mlsanity.com/paper/2201.07265/) (2022)

## Abstract (arXiv)

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.