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- W4301063855 abstract "Accurately establishing the state of large-scale quantum systems is an important tool in quantum information science; however, the large number of unknown parameters hinders the rapid characterisation of such states, and reconstruction procedures can become prohibitively time-consuming. Compressive sensing, a procedure for solving inverse problems by incorporating prior knowledge about the form of the solution, provides an attractive alternative to the problem of high-dimensional quantum state characterisation. Using a modified version of compressive sensing that incorporates the principles of singular value thresholding, we reconstruct the density matrix of a high-dimensional two-photon entangled system. The dimension of each photon is equal to $d= 17$, corresponding to a system of 83521 unknown real parameters. Accurate reconstruction is achieved with approximately 2500 measurements, only 3% of the total number of unknown parameters in the state. The algorithm we develop is fast, computationally inexpensive, and applicable to a wide range of quantum states, thus demonstrating compressive sensing as an effective technique for measuring the state of large-scale quantum systems." @default.
- W4301063855 created "2022-10-04" @default.
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- W4301063855 date "2014-07-28" @default.
- W4301063855 modified "2023-09-30" @default.
- W4301063855 title "Reconstructing high-dimensional two-photon entangled states via compressive sensing" @default.
- W4301063855 doi "https://doi.org/10.48550/arxiv.1407.7426" @default.
- W4301063855 hasPublicationYear "2014" @default.
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