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Laser Physics

Protecting qubit-qutrit entanglement via non-Hermitian operation

Li Ji-Xin, Shengli Chang, Yun-Hui Zhao, Xing Mao Xiao, Yang Leng

Published Aug 4, 2021• 7 citations
Publisher

Abstract

Abstract Entangled states with high-dimensional systems have been investigated widely because of their extended possibilities. We investigate the entanglement protection of a qubit–qutrit system under amplitude damping decoherence by employing non-Hermitian operation. We find that the qubit–qutrit entanglement decays monotonically as the decoherence strength increases, and may go through a sudden death for strong decoherence strength. However, we can completely defeat amplitude damping decoherence and recover or even magnify the initial entanglement perfectly by means of non-Hermitian operation. In particular, the non-Hermitian operation can protect entanglement more efficiently in the case of strong decoherence strength than those with small decoherence strength.

DOI
10.1088/1555-6611/ac1600

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Abstract Entangled states with high-dimensional systems have been investigated widely because of their extended possibilities. We investigate the entanglement protection of a qubit–qutrit system under amplitude damping decoherence by employing non-Hermitian operation. We find that the qubit–qutrit entanglement decays monotonically as the decoherence strength increases, and may go through a sudden death for strong decoherence strength. However, we can completely defeat amplitude damping decoherence and recover or even magnify the initial entanglement perfectly by means of non-Hermitian operation. In particular, the non-Hermitian operation can protect entanglement more efficiently in the case of strong decoherence strength than those with small decoherence strength.
We investigate the entanglement protection of a hybrid qubit–qutrit system under amplitude damping decoherence by employing weak measurement and reversal. We examine two typical families of initially entangled qubit–qutrit states (i.e. one-parameter and two-parameter qubit–qutrit states). We find that the qubit–qutrit entanglement decays monotonically as the decoherence strength increases, and may go through a sudden death for some initial states. However, we can completely defeat amplitude damping decoherence and recover the initial entanglement perfectly for any initial states by means of the combination of prior weak measurement and subsequent optimal weak measurement reversal. The only price that we have to pay is the very low success probability.
Abstract Using the non-Hermitian operation approach, we propose a scheme to protect and enhance entanglement from correlated amplitude damping decoherence. In contrast to the results of memoryless amplitude damping channel, we show that the memory effects play a significant role in the suppression of entanglement sudden death and induce the entanglement revival. Moreover, we find that the damaged entanglement can be effectively enhanced by using the non-Hermitian operation. Furthermore, the freezing phenomenon of entanglement can be detected by using the optimal non-Hermitian operation.
Abstract We propose a novel method to enhance the capacity of quantum dense coding under amplitude damping noise using non-Hermitian operations. With the assistance of non-Hermitian operations, we show that the capacity of quantum dense coding can always be larger than 1 for any two-qubit states. In particular, the non-Hermitian operation can improve quantum dense coding more efficiently in the case of strong decoherence strength than those with small decoherence strength. Our results shed new light on the protection of quantum dense coding in a quantum environment.
Abstract Entangled states with high-dimensional systems have been investigated widely because of its various advantages. This paper investigates the effect of the weak measurement and reversal (WMR) on the protection of the entanglement for an arbitrarily entangled qutrit–qutrit state from the amplitude-phase decoherence sources. By solving the master equation of the qutrit–qutrit system, we numerically get the maximal amount of entanglement. The numerical results show explicitly that the WMR operation indeed helps for protecting entanglement from amplitude-phase decoherence. In particular, WMR can protect entanglement more efficiently in the case of strong decay rates than those with small decay rates. These results shed new light on the protection of high-dimensional quantum entanglement in a complex quantum environment.
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.
We propose a scheme to enhance entanglement from amplitude damping or correlated amplitude damping decoherence. We show that entanglement sudden death time can be prolonged by the initial single-qubit operation combined with local filtering operation. For the amplitude damping channel case, we give the optimal single-qubit operation for arbitrary pure state [Formula: see text]. For the correlated amplitude damping channel case, we find that single-qubit operation on the initial state can not only enhance the final entanglement but also avoid entanglement sudden death. Compared to the previous schemes, the optimal operations and local filtering operations used in our scheme are independent with the decay parameters of the environment.