After proving a general no-cloning theorem for black boxes, we derive the optimal universal cloning of unitary transformations, from one to two copies. The optimal cloner is realized by quantum channels with memory, and greatly outperforms the optimal measure-and-reprepare cloning strategy. Applications are outlined, including two-way quantum cryptographic protocols.

Optimal cloning of unitary transformation

CHIRIBELLA, GIULIO;D'ARIANO, GIACOMO;PERINOTTI, PAOLO
2008-01-01

Abstract

After proving a general no-cloning theorem for black boxes, we derive the optimal universal cloning of unitary transformations, from one to two copies. The optimal cloner is realized by quantum channels with memory, and greatly outperforms the optimal measure-and-reprepare cloning strategy. Applications are outlined, including two-way quantum cryptographic protocols.
2008
The Physics category includes resources of a broad, general nature that contain materials from all areas of physics, The category also includes resources specifically concerned with the following physics sub-fields: mathematical physics, particle and nuclear physics, physics of fluids and plasmas, quantum physics, and theoretical physics.
Sì, ma tipo non specificato
Inglese
Internazionale
STAMPA
101
180504-1
180504-4
This work represent another application of the general optimization method of quantum combs of Chiribella, D'Ariano, Perinotti. It is the first time that notion of cloning quantum transformation is introduced, and, at the same time, the ultimate performances of this process are established. This new kind of quantum information processing will have applications in multi-round cryptographic protocols.
QUANTUM INFORMATION; QUANTUM MECHANICS; QUANTUM CIRCUITS
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000101000018180504000001&idtype=cvips&gifs=yes
3
info:eu-repo/semantics/article
262
Chiribella, Giulio; D'Ariano, Giacomo; Perinotti, Paolo
1 Contributo su Rivista::1.1 Articolo in rivista
none
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/138584
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 62
social impact