Sudden death of entanglement with Hamiltonian ensemble assisted by auxiliary qubits

Abstract

In this paper, we theoretically propose a method to simulate the longitudinal relaxation of a single qubit by coupling it to an auxiliary qubit. In order to mimic the finite-temperature relaxation, we utilize the Hamiltonian-ensemble approach [Kropf, Gneiting, and Buchleitner, Phys. Rev. X 6, 031023 (2016)] and in each realization the auxiliary qubit possesses a random level spacing. The longitudinal relaxation arises as a consequence of the ensemble average and the interaction between the working qubit and the auxiliary qubit. Furthermore, we apply this approach to investigate the influence of the longitudinal relaxation and the transverse relaxation on the entanglement dynamics of two qubits. It is discovered that the sudden death of the entanglement will occur as long as the longitudinal relaxation is present. The transverse relaxation assists the longitudinal relaxation and thus accelerates the finite-time disentanglement.

arXiv comment8 pages,7 figures

References in corpus (20)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Simulation
• Finite-Time Disentanglement via Spontaneous Emission
• Non-Markovian dynamics in open quantum systems
• Sudden Death of Entanglement
• Quantum Metrology in Non-Markovian Environments
• Quantum many-body models with cold atoms coupled to photonic crystals
• General non-Markovian dynamics of open quantum systems
• Magnet field sensing beyond the standard quantum limit under the effect of decoherence
• Experimental noise filtering by quantum control
• Quantum simulation of photosynthetic energy transfer
• Entanglement-Enhanced Quantum Metrology in Colored Noise by Quantum Zeno Effect
• Probing the coherence of solid-state qubits at avoided crossings
• Simulating Open Quantum Systems with Hamiltonian Ensembles and the Nonclassicality of the Dynamics
• Global Correlation and Local Information Flows in Controllable Non-Markovian Open Quantum Dynamics
• Experimental bath engineering for quantitative studies of quantum control
• Effective dynamics of disordered quantum systems
• Exact and efficient quantum simulation of open quantum dynamics for various of Hamiltonians and spectral densities
• Longitudinal relaxation of a nitrogen-vacancy center in a spin bath by generalized cluster-correlation expansion method
• Disorder-induced dephasing in backscattering-free quantum transport