期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 293, 期 1, 页码 171-183出版社
SPRINGER
DOI: 10.1007/s00220-009-0909-y
关键词
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We have proven that there exists a quantum state approximating any multi-copy state universally when we measure the error by means of the normalized relative entropy. While the qubit case was proven by Krattenthaler and Slater (IEEE Trans. IT 46, 810-819 (2009)), the general case has been open for more than ten years. For a deeper analysis, we have solved the mini-max problem concerning 'approximation error' up to the second order. Furthermore, we have applied this result to quantum lossless data compression, and have constructed a universal quantum lossless data compression.
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