All unital qubit channels are 4-noisy operations

TY - JOUR

T1 - All unital qubit channels are 4-noisy operations

AU - Müller-Hermes, Alexander

AU - Perry, Christopher

PY - 2019/1/10

Y1 - 2019/1/10

N2 - We show that any unital qubit channel can be implemented by letting the input system interact unitarily with a four-dimensional environment in the maximally mixed state and then tracing out the environment. We also provide an example where the dimension of such an environment has to be at least 3.

AB - We show that any unital qubit channel can be implemented by letting the input system interact unitarily with a four-dimensional environment in the maximally mixed state and then tracing out the environment. We also provide an example where the dimension of such an environment has to be at least 3.

KW - Factorizable maps

KW - Noisy operations

KW - Open quantum systems

KW - Operator Schmidt rank

KW - Quantum channels

UR - http://www.scopus.com/inward/record.url?scp=85048130378&partnerID=8YFLogxK

U2 - 10.1007/s11005-018-1104-x

DO - 10.1007/s11005-018-1104-x

M3 - Journal article

SN - 0921-3767

VL - 109

SP - 1

EP - 9

JO - Mathematical Physics Studies

JF - Mathematical Physics Studies

IS - 1

ER -