TY - JOUR
T1 - Distinguishability measures and entropies for general probabilistic theories
AU - Kimura, Gen
AU - Nuida, Koji
AU - Imai, Hideki
N1 - Funding Information:
We would like to thank for useful comments and discussions to Dr. Imafuku and Dr. Miyadera. This work was partially supported by Grant-in-Aid for Young Scientists (B) (No.20700017 and No.22740079), The Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan.
PY - 2010/10
Y1 - 2010/10
N2 - As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate several distinguishability measures and "entropies" in general probabilistic theories. As their applications, no-cloning theorems, information-disturbance theorems are reformulated, and a bound of the accessible informations is discussed in general probabilistic theories, not resorting to quantum theory. We also propose the principle of equality for pure states which makes general probabilistic theories more realistic, and we discuss the role of entropies as a measure of pureness.
AB - As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate several distinguishability measures and "entropies" in general probabilistic theories. As their applications, no-cloning theorems, information-disturbance theorems are reformulated, and a bound of the accessible informations is discussed in general probabilistic theories, not resorting to quantum theory. We also propose the principle of equality for pure states which makes general probabilistic theories more realistic, and we discuss the role of entropies as a measure of pureness.
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U2 - 10.1016/S0034-4877(10)00025-X
DO - 10.1016/S0034-4877(10)00025-X
M3 - Article
AN - SCOPUS:79955804235
SN - 0034-4877
VL - 66
SP - 175
EP - 206
JO - Reports on Mathematical Physics
JF - Reports on Mathematical Physics
IS - 2
ER -