Nonlocal multi-target controlled—controlled gate using Greenberger–Horne–Zeilinger channel and qutrit catalysis

doi:10.1088/1674-1056/24/7/070307

Abstract We present a scheme for implementing locally a nonlocal N-target controlled–controlled gate with unit probability of success by harnessing two (N+1)-qubit Greenberger–Horne–Zeilinger (GHZ) states as quantum channel and N qutrits as catalyser. The quantum network that implements this nonlocal (N+2)-body gate is built entirely of local single-body and two-body gates, and has only (3N+2) two-body gates. This result suggests that both the computational depth of quantum network and the quantum resources required to perform this nonlocal gate might be significantly reduced. This scheme can be generalized straightforwardly to implement a nonlocal N-target and M-control qubits gate.

Keywords: nonlocal N-target controlled-controlled gate GHZ state qutrit catalysis

Received: 08 December 2014
Revised: 24 January 2015
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	03.67.Lx	(Quantum computation architectures and implementations)

Fund: Project supported by the Natural Science Foundation of Guangdong Province, China (Grant No. 6029431).

Corresponding Authors: Chen Li-Bing
E-mail: chlibing2008@f163.com

Cite this article:

Chen Li-Bing (陈立冰), Lu Hong (路洪) Nonlocal multi-target controlled—controlled gate using Greenberger–Horne–Zeilinger channel and qutrit catalysis 2015 Chin. Phys. B 24 070307

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Nonlocal multi-target controlled—controlled gate using Greenberger–Horne–Zeilinger channel and qutrit catalysis

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