|
| related topics |
| {information, entropy, channel} |
| {key, protocol, security} |
| {error, code, errors} |
| {state, phys, rev} |
| {measurement, state, measurements} |
| {time, systems, information} |
| {state, states, entangled} |
| {qubit, qubits, gate} |
| {bell, inequality, local} |
| {energy, state, states} |
| {states, state, optimal} |
|
Quantum information is incompressible without errors
Masato Koashi, Nobuyuki Imoto
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0203045
- categories:
- quant-ph
- comments:
- 5 pages, no figures
- doi:
- 10.1103/PhysRevLett.89.097904
- arxiv_id:
- quant-ph/0203045
- created:
- 2002-03-11
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