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Zhang K, Thompson J, Zhang X, Shen Y, Lu Y, Zhang S, Ma J, Vedral V, Gu M, Kim K. Modular quantum computation in a trapped ion system. Nat Commun 2019; 10:4692. [PMID: 31619670 PMCID: PMC6795904 DOI: 10.1038/s41467-019-12643-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2019] [Accepted: 09/17/2019] [Indexed: 11/09/2022] Open
Abstract
Modern computation relies crucially on modular architectures, breaking a complex algorithm into self-contained subroutines. A client can then call upon a remote server to implement parts of the computation independently via an application programming interface (API). Present APIs relay only classical information. Here we implement a quantum API that enables a client to estimate the absolute value of the trace of a server-provided unitary operation [Formula: see text]. We demonstrate that the algorithm functions correctly irrespective of what unitary [Formula: see text] the server implements or how the server specifically realizes [Formula: see text]. Our experiment involves pioneering techniques to coherently swap qubits encoded within the motional states of a trapped [Formula: see text] ion, controlled on its hyperfine state. This constitutes the first demonstration of modular computation in the quantum regime, providing a step towards scalable, parallelization of quantum computation.
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Affiliation(s)
- Kuan Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China.
- MOE Key Laboratory of Fundamental Physical Quantities Measurement & Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, 430074, Wuhan, China.
| | - Jayne Thompson
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore.
| | - Xiang Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China
- Department of Physics, Renmin University of China, 100872, Beijing, China
| | - Yangchao Shen
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China
| | - Yao Lu
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China
| | - Shuaining Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China
| | - Jiajun Ma
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China
- Department of Atomic and Laser Physics, Clarendon Laboratory, University of Oxford, Oxford, OX1 3PU, UK
| | - Vlatko Vedral
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore
- Department of Atomic and Laser Physics, Clarendon Laboratory, University of Oxford, Oxford, OX1 3PU, UK
- Department of Physics, National University of Singapore, Singapore, 117551, Singapore
| | - Mile Gu
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore.
- School of Mathematical and Physical Sciences, Nanyang Technological University, Singapore, 637371, Singapore.
- Complexity Institute, Nanyang Technological University, Singapore, 637335, Singapore.
| | - Kihwan Kim
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, 100084, Beijing, China.
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Dong L, Wang SL, Cui C, Geng X, Li QY, Dong HK, Xiu XM, Gao YJ. Polarization Toffoli gate assisted by multiple degrees of freedom. OPTICS LETTERS 2018; 43:4635-4638. [PMID: 30272701 DOI: 10.1364/ol.43.004635] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/2018] [Accepted: 08/17/2018] [Indexed: 06/08/2023]
Abstract
A Toffoli gate plays a critical role in many quantum algorithms due to its function as a building block, which is a fundamental element for feasible large-scale quantum computation. With the help of polarization, spatial, and temporal degrees of freedom (DOFs), a construction scheme of a nearly deterministic polarization Toffoli gate is proposed, where only two two-photon gates are required. The simple construction circuit together with available techniques and optical elements facilitate the realization of the scheme presented here. This construction scheme can be utilized as a reference for multiqubit quantum gates with multiple DOFs.
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