Abstract
Channel capacities of quantum channels can be nonadditive even if one of two quantum channels has no channel capacity. We call this phenomenon activation of the channel capacity. In this paper, we show that when we use a quantum channel on a qubit system, only a noiseless qubit channel can generate the activation of the zero-error classical capacity. In particular, we show that the zero-error classical capacity of two quantum channels on qubit systems cannot be activated. Furthermore, we present a class of examples showing the activation of the zero-error classical capacity in low-dimensional systems.
| Original language | English |
|---|---|
| Article number | 062314 |
| Journal | Physical Review A |
| Volume | 97 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2018 Jun 11 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Activation of zero-error classical capacity in low-dimensional quantum systems. / Park, Jeonghoon; Heo, Jun.
In: Physical Review A, Vol. 97, No. 6, 062314, 11.06.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Activation of zero-error classical capacity in low-dimensional quantum systems
AU - Park, Jeonghoon
AU - Heo, Jun
PY - 2018/6/11
Y1 - 2018/6/11
N2 - Channel capacities of quantum channels can be nonadditive even if one of two quantum channels has no channel capacity. We call this phenomenon activation of the channel capacity. In this paper, we show that when we use a quantum channel on a qubit system, only a noiseless qubit channel can generate the activation of the zero-error classical capacity. In particular, we show that the zero-error classical capacity of two quantum channels on qubit systems cannot be activated. Furthermore, we present a class of examples showing the activation of the zero-error classical capacity in low-dimensional systems.
AB - Channel capacities of quantum channels can be nonadditive even if one of two quantum channels has no channel capacity. We call this phenomenon activation of the channel capacity. In this paper, we show that when we use a quantum channel on a qubit system, only a noiseless qubit channel can generate the activation of the zero-error classical capacity. In particular, we show that the zero-error classical capacity of two quantum channels on qubit systems cannot be activated. Furthermore, we present a class of examples showing the activation of the zero-error classical capacity in low-dimensional systems.
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UR - http://www.scopus.com/inward/citedby.url?scp=85048592479&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.97.062314
DO - 10.1103/PhysRevA.97.062314
M3 - Article
VL - 97
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 6
M1 - 062314
ER -