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- Publisher Website: 10.1103/PhysRevLett.114.120504
- Scopus: eid_2-s2.0-84925851205
- PMID: 25860728
- WOS: WOS:000351877200003
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Article: Universal superreplication of unitary gates
Title | Universal superreplication of unitary gates |
---|---|
Authors | |
Issue Date | 2015 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prl/ |
Citation | Physical Review Letters, 2015, v. 114 n. 12, article no. 120504 How to Cite? |
Abstract | © 2015 American Physical Society. Quantum states obey an asymptotic no-cloning theorem, stating that no deterministic machine can reliably replicate generic sequences of identically prepared pure states. In stark contrast, we show that generic sequences of unitary gates can be replicated deterministically at nearly quadratic rates, with an error vanishing on most inputs except for an exponentially small fraction. The result is not in contradiction with the no-cloning theorem, since the impossibility of deterministically transforming pure states into unitary gates prevents the application of the gate replication protocol to states. In addition to gate replication, we show that N parallel uses of a completely unknown unitary gate can be compressed into a single gate acting on O(log2N) qubits, leading to an exponential reduction of the amount of quantum communication needed to implement the gate remotely. |
Persistent Identifier | http://hdl.handle.net/10722/213454 |
ISSN | 2023 Impact Factor: 8.1 2023 SCImago Journal Rankings: 3.040 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chiribella, G | - |
dc.contributor.author | Yang, Y | - |
dc.contributor.author | Huang, C | - |
dc.date.accessioned | 2015-07-28T04:07:20Z | - |
dc.date.available | 2015-07-28T04:07:20Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Physical Review Letters, 2015, v. 114 n. 12, article no. 120504 | - |
dc.identifier.issn | 0031-9007 | - |
dc.identifier.uri | http://hdl.handle.net/10722/213454 | - |
dc.description.abstract | © 2015 American Physical Society. Quantum states obey an asymptotic no-cloning theorem, stating that no deterministic machine can reliably replicate generic sequences of identically prepared pure states. In stark contrast, we show that generic sequences of unitary gates can be replicated deterministically at nearly quadratic rates, with an error vanishing on most inputs except for an exponentially small fraction. The result is not in contradiction with the no-cloning theorem, since the impossibility of deterministically transforming pure states into unitary gates prevents the application of the gate replication protocol to states. In addition to gate replication, we show that N parallel uses of a completely unknown unitary gate can be compressed into a single gate acting on O(log2N) qubits, leading to an exponential reduction of the amount of quantum communication needed to implement the gate remotely. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prl/ | - |
dc.relation.ispartof | Physical Review Letters | - |
dc.title | Universal superreplication of unitary gates | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevLett.114.120504 | - |
dc.identifier.pmid | 25860728 | - |
dc.identifier.scopus | eid_2-s2.0-84925851205 | - |
dc.identifier.volume | 114 | - |
dc.identifier.issue | 12 | - |
dc.identifier.spage | article no. 120504 | - |
dc.identifier.epage | article no. 120504 | - |
dc.identifier.eissn | 1079-7114 | - |
dc.identifier.isi | WOS:000351877200003 | - |
dc.identifier.issnl | 0031-9007 | - |