Simple
construction of quantum universal variable-length source coding (pp519-529)
M. Hayashi and K. Matsumoto
doi:
https://doi.org/10.26421/QIC2.s-2
Abstracts:
We simply construct a quantum
universal variable-length source code in
which, independent of information source, both of the average error and
the probability that the coding rate is greater than the entropy rate
H(\overline{\rho}_p), tend to 0. If H(\overline{\rho}_p) is estimated,
we can compress the coding rate to the admissible rate H(\overline{\rho}_p)
with a probability close to 1. However, when we perform a naive
measurement for the estimation of H(\overline{\rho}_p), the input state
is demolished. By smearing the measurement, we successfully treat the
trade-off between the estimation of H(\overline{\rho}_p) and the
non-demolition of the input state. Our protocol can be used not only for
the Schumacher's scheme but also for the compression of entangled
states.
Key words: quantum
universal source coding, variable-length, compression of entangled
states, demolition of states |