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Universal Approximation of Multi-copy States and Universal Quantum Lossless Data Compression.
- Source :
- Communications in Mathematical Physics; Jan2010, Vol. 293 Issue 1, p171-183, 13p
- Publication Year :
- 2010
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 293
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 45164892
- Full Text :
- https://doi.org/10.1007/s00220-009-0909-y