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首页> 外文期刊>Physical review letters >Reversing Unknown Quantum Transformations: Universal Quantum Circuit for Inverting General Unitary Operations
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Reversing Unknown Quantum Transformations: Universal Quantum Circuit for Inverting General Unitary Operations

机译：逆转未知量子变换：通用量子电路，用于反转一般酉操作

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摘要

Given a quantum gate implementing a d-dimensional unitary operation U-d, without any specific description but d, and permitted to use k times, we present a universal probabilistic heralded quantum circuit that implements the exact inverse U-d(-1), whose failure probability decays exponentially in k. The protocol employs an adaptive strategy, proven necessary for the exponential performance. It requires that k = d - 1, proven necessary for the exact implementation of U-d(-1) with quantum circuits. Moreover, even when quantum circuits with indefinite causal order are allowed, k = d - 1 uses are required. We then present a finite set of linear and positive semidefinite constraints characterizing universal unitary inversion protocols and formulate a convex optimization problem whose solution is the maximum success probability for given k and d. The optimal values are computed using semidefmite programing solvers for k = 3 when d = 2 and k = 2 for d = 3. With this numerical approach we show for the first time that indefinite causal order circuits provide an advantage over causally ordered ones in a task involving multiple uses of the same unitary operation.
机译：给定Quantum栅极实现D维酉操作UD，而没有任何特定的描述，而没有D，并且允许使用K次，我们呈现了一种实现精确的逆UD（-1）的通用概率纹章量子电路，其故障概率衰减呈符号k。该协议采用自适应策略，证明是指数表现所必需的。它要求K> = D-1，证明是用量子电路的U-D（-1）的精确实现所必需的。此外，即使允许具有无限因果顺序的量子电路，也需要k> = D-1。然后，我们呈现了一种有限的线性和正半纤维限制，其特征是通用统一反演协议，并制定凸优化问题，其解决方案是给定K和D的最大成功概率。当D = 2和K

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  • 来源
    《Physical review letters》 |2019年第21期|210502.1-210502.5|共5页
  • 作者

    Quintino Marco Tulio; Dong Qingxiuxiong; Shimbo Atsushi; Soeda Akihito; Murao Mio;

  • 作者单位

    Univ Tokyo Grad Sch Sci Dept Phys Bunkyo Ku Hongo 7-3-1 Tokyo 1130033 Japan;

    Univ Tokyo Grad Sch Sci Dept Phys Bunkyo Ku Hongo 7-3-1 Tokyo 1130033 Japan;

    Univ Tokyo Grad Sch Sci Dept Phys Bunkyo Ku Hongo 7-3-1 Tokyo 1130033 Japan;

    Univ Tokyo Grad Sch Sci Dept Phys Bunkyo Ku Hongo 7-3-1 Tokyo 1130033 Japan;

    Univ Tokyo Grad Sch Sci Dept Phys Bunkyo Ku Hongo 7-3-1 Tokyo 1130033 Japan;

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