EXPERIMENTAL REALIZATION OF ANY DISCRETE UNITARY OPERATOR
EXPERIMENTAL REALIZATION OF ANY DISCRETE UNITARY OPERATOR
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DOI：
10.1103/physrevlett.73.58
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发表时间：
1994-07-04
影响因子：
8.6
通讯作者：
BERTANI, P
中科院分区：
文献类型：
--
作者：
RECK, M;ZEILINGER, A;BERTANI, P
给出了一个算法证明，证明了任何离散的有限维酉算子都可以在实验室中利用光学器件构造出来。我们的递归算法因式分解任何N × N酉矩阵到一个序列的二维分束器变换。该实验是由相应的设备建立的。这也允许测量对应于任何离散厄米特矩阵的可观测量。因此，任何类型的辐射（光子，原子等）的光学实验。探索更高维的离散量子系统变得可行。
An algorithmic proof that any discrete finite-dimensional unitary operator can be constructed in the laboratory using optical devices is given. Our recursive algorithm factorizes any N x N unitary matrix into a sequence of two-dimensional beam splitter transformations. The experiment is built from the corresponding devices. This also permits the measurement of the observable corresponding to any discrete Hermitian matrix. Thus optical experiments with any type of radiation (photons, atoms, etc.) exploring higher-dimensional discrete quantum systems become feasible.