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Digitized adiabatic quantum computing with a superconducting circuit

机译:超导电路的数字绝热量子计算

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摘要

Quantum mechanics can help to solve complex problems in physics(1) and chemistry(2), provided they can be programmed in a physical device. In adiabatic quantum computing(3-5), a system is slowly evolved from the ground state of a simple initial Hamiltonian to a final Hamiltonian that encodes a computational problem. The appeal of this approach lies in the combination of simplicity and generality; in principle, any problem can be encoded. In practice, applications are restricted by limited connectivity, available interactions and noise. A complementary approach is digital quantum computing(6), which enables the construction of arbitrary interactions and is compatible with error correction(7,8), but uses quantum circuit algorithms that are problem-specific. Here we combine the advantages of both approaches by implementing digitized adiabatic quantum computing in a superconducting system. We tomographically probe the system during the digitized evolution and explore the scaling of errors with system size. We then let the full system find the solution to random instances of the one-dimensional Ising problem as well as problem Hamiltonians that involve more complex interactions. This digital quantum simulation(9-12) of the adiabatic algorithm consists of up to nine qubits and up to 1,000 quantum logic gates. The demonstration of digitized adiabatic quantum computing in the solid state opens a path to synthesizing long-range correlations and solving complex computational problems. When combined with fault-tolerance, our approach becomes a general-purpose algorithm that is scalable.
机译:量子力学可以帮助解决物理(1)和化学(2)中的复杂问题,前提是可以在物理设备中对其进行编程。在绝热量子计算中(3-5),系统从简单的初始哈密顿量的基态缓慢演化为编码计算问题的最终哈密顿量。这种方法的吸引力在于简单性和通用性的结合。原则上,任何问题都可以编码。实际上,应用程序受到连接性,可用交互作用和噪声的限制。一种补充方法是数字量子计算(6),它可以构建任意的交互关系,并且与纠错(7,8)兼容,但使用特定于问题的量子电路算法。在这里,我们通过在超导系统中实施数字化绝热量子计算来结合两种方法的优势。我们在数字化演进过程中对系统进行层析成像探测,并探索误差随系统大小的缩放。然后,我们让整个系统找到一维Ising问题以及涉及更复杂相互作用的问题哈密顿量的随机实例的解决方案。绝热算法的此数字量子仿真(9-12)包含多达9个量子位和多达1,000个量子逻辑门。固态数字绝热量子计算的演示为合成远程相关性和解决复杂的计算问题开辟了道路。当与容错结合时,我们的方法将成为可扩展的通用算法。

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  • 来源
    《Nature》 |2016年第7606期|222-226|共5页
  • 作者单位

    Google Inc, Santa Barbara, CA 93117 USA;

    Google Inc, Venice, CA 90291 USA;

    Univ Basque Country UPV EHU, Dept Phys Chem, Apartado 644, E-48080 Bilbao, Spain;

    Google Inc, Santa Barbara, CA 93117 USA;

    Univ Basque Country UPV EHU, Dept Phys Chem, Apartado 644, E-48080 Bilbao, Spain|IBM TJ Watson Res Ctr, Yorktown Hts, NY 10598 USA;

    Univ Basque Country UPV EHU, Dept Phys Chem, Apartado 644, E-48080 Bilbao, Spain;

    Google Inc, Venice, CA 90291 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Google Inc, Santa Barbara, CA 93117 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

    Univ Basque Country UPV EHU, Dept Phys Chem, Apartado 644, E-48080 Bilbao, Spain|Basque Fdn Sci, Ikerbasque, Maria Diaz Haro 3, Bilbao 48013, Spain;

    Google Inc, Venice, CA 90291 USA;

    Google Inc, Santa Barbara, CA 93117 USA|Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA;

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  • 正文语种 eng
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