Exponential rise of dynamical complexity in quantum computing through projections

Abstract

The ability of quantum systems to host exponentially complex dynamics has the potential to revolutionize science and technology. Therefore, much effort has been devoted to developing of protocols for computation, communication and metrology, which exploit this scaling, despite formidable technical difficulties. Here we show that the mere frequent observation of a small part of a quantum system can turn its dynamics from a very simple one into an exponentially complex one, capable of universal quantum computation. After discussing examples, we go on to show that this effect is generally to be expected: almost any quantum dynamics becomes universal once ‘observed’ as outlined above. Conversely, we show that any complex quantum dynamics can be ‘purified’ into a simpler one in larger dimensions. We conclude by demonstrating that even local noise can lead to an exponentially complex dynamics.


Tutti gli autori

  • FACCHI P.;PASCAZIO S.

Titolo volume/Rivista

Non Disponibile


Anno di pubblicazione

2014

ISSN

2041-1723

ISBN

Non Disponibile


Numero di citazioni Wos

13

Ultimo Aggiornamento Citazioni

Non Disponibile


Numero di citazioni Scopus

15

Ultimo Aggiornamento Citazioni

Non Disponibile


Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile