Quantum information is incompressible without errors

Details Quantum information is incompressible without errors Quantum information is incompressible without errors

2002-03-11

arxiv.org/abs/quant-ph/0203045v1

Physics

Quantum Physics

5 pages, no figures

Scientific paper

10.1103/PhysRevLett.89.097904

A classical random variable can be faithfully compressed into a sequence of bits with its expected length lies within one bit of Shannon entropy. We generalize this variable-length and faithful scenario to the general quantum source producing mixed states $\rho_i$ with probability $p_i$. In contrast to the classical case, the optimal compression rate in the limit of large block length differs from the one in the fixed-length and asymptotically faithful scenario. The amount of this gap is interpreted as the genuinely quantum part being incompressible in the former scenario.

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