Universal approximation of multi-copy states and universal quantum lossless data compression

Details Universal approximation of multi-copy states and universal quantum lossless data compression Universal approximation of multi-copy states and universal quantum lossless data compression

2008-06-06

arxiv.org/abs/0806.1091v2

Communications in Mathematical Physics. Volume 293, Number 1, 171-183, (2010)

Physics

Quantum Physics

Scientific paper

10.1007/s00220-009-0909-y

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, 801-819 (2000); quant-ph/9612043), 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.

Affiliated with

Also associated with

No associations

Rating

Universal approximation of multi-copy states and universal quantum lossless data compression does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal approximation of multi-copy states and universal quantum lossless data compression, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal approximation of multi-copy states and universal quantum lossless data compression will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172189