Role of entanglement and correlations in mixed-state quantum computation

Datta, Animesh and Vidal, Guifre (2007) Role of entanglement and correlations in mixed-state quantum computation. Physical Review A, 75 4: 042310-1-042310-5. doi:10.1103/PhysRevA.75.042310

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Author Datta, Animesh
Vidal, Guifre
Title Role of entanglement and correlations in mixed-state quantum computation
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2007-04-11
Year available 2007
Sub-type Article (original research)
DOI 10.1103/PhysRevA.75.042310
Open Access Status File (Publisher version)
Volume 75
Issue 4
Start page 042310-1
End page 042310-5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2008
Language eng
Abstract In a quantum computation with pure states, the generation of large amounts of entanglement is known to be necessary for a speedup with respect to classical computations. However, examples of quantum computations with mixed states are known, such as the deterministic computation with one quantum qubit (DQC1) model [Knill and Laflamme, Phys. Rev. Lett. 81, 5672 (1998)], in which entanglement is at most marginally present, and yet a computational speedup is believed to occur. Correlations, and not entanglement, have been identified as a necessary ingredient for mixed-state quantum computation speedups. Here we show that correlations, as measured through the operator Schmidt rank, are indeed present in large amounts in the DQC1 circuit. This provides evidence for the preclusion of efficient classical simulation of DQC1 by means of a whole class of classical simulation algorithms, thereby reinforcing the conjecture that DQC1 leads to a genuine quantum computational speedup.
Keyword Optics
Q-Index Code C1
Q-Index Status Confirmed Code

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Created: Mon, 14 Apr 2008, 15:56:36 EST by Jo Hughes on behalf of School of Mathematics & Physics