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

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

中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70307-070307.doi: 10.1088/1674-1056/24/7/070307

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

陈立冰, 路洪

Department of Photoelectron and Physics, Foshan University, Foshan 528000, China

收稿日期:2014-12-08 修回日期:2015-01-24 出版日期:2015-07-05 发布日期:2015-07-05
基金资助:
Project supported by the Natural Science Foundation of Guangdong Province, China (Grant No. 6029431).

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

Chen Li-Bing (陈立冰), Lu Hong (路洪)

Department of Photoelectron and Physics, Foshan University, Foshan 528000, China

Received:2014-12-08 Revised:2015-01-24 Online:2015-07-05 Published:2015-07-05
Contact: Chen Li-Bing E-mail:chlibing2008@f163.com
Supported by:
Project supported by the Natural Science Foundation of Guangdong Province, China (Grant No. 6029431).

摘要/Abstract

摘要： 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.

关键词: nonlocal N-target controlled-controlled gate, GHZ state, qutrit catalysis

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.

Key words: nonlocal N-target controlled-controlled gate, GHZ state, qutrit catalysis

中图分类号: (Quantum information)

03.67.-a

03.67.Lx (Quantum computation architectures and implementations)

陈立冰, 路洪. Nonlocal multi-target controlled—controlled gate using Greenberger–Horne–Zeilinger channel and qutrit catalysis[J]. 中国物理B, 2015, 24(7): 70307-070307.

Chen Li-Bing (陈立冰), Lu Hong (路洪). Nonlocal multi-target controlled—controlled gate using Greenberger–Horne–Zeilinger channel and qutrit catalysis[J]. Chin. Phys. B, 2015, 24(7): 70307-070307.

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

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

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