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Laser & Optoelectronics Progress

Distillability Evolution of Qutrit-Qutrit Systems in Amplitude Damping Channels

黄江 Huang Jiang, 师文庆 Shi Wenqing, 徐国保 Xu Guobao

Published Jan 1, 2019• 0 citations
Publisher
DOI
10.3788/lop56.070601

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We demonstrate a method to protect free-entangled and bound-entangled states in a two-qutrit system under amplitude damping and the generalized amplitude damping channels based on measurement reversal from weak measurement. We find that this scheme can circumvent the distillability sudden death by changing weak measurement strength and the free-entangled and bound-entangled states can be robust against decoherence in amplitude damping case. Moreover, the negativity and realignment negativity almost tend to a constant respectively in spite of sufficiently strong decoherence when weak measurement strength is strong. We also show that under the generalized amplitude damping, the life of free-entangled and bound-entangled states can be prolonged using weak measurements in certain conditions.
Recently it has been discovered that certain two-qutrit entangled states interacting with global and/or multi-local decoherence undergo distillability sudden death (DSD). We investigate this phenomenon for qutrit–qutrit systems interacting with statistically independent zero-temperature reservoirs. We show that certain initially prepared free-entangled states become bound-entangled in a finite time due to the action of a Markovian dissipative environment. As there is no definitive criterion for separability/entanglement of density matrices with dimension greater than 6, therefore we believe that the results obtained in this paper are restricted to a specific family of states considered here. Moreover, in contrast to local dephasing, simple local unitary transformations can completely avoid distillability sudden death under amplitude damping.