Dynamics of tripartite correlations for three qubits in independent thermal reservoirs

Abstract

We investigate the dynamical evolution of multipartite entanglement in tripartite systems with three qubits present in independent thermal reservoirs, modelled as infinite set of quantum harmonic oscillators. We show that the presence of temperature gradient between reservoirs play a significant role in robustness of multipartite correlation against environmental decoherence. Considering a bilinear form of interaction Hamiltonian, an exact expression for time evolved density matrix is presented. Interestingly, it is observed that the preservation duration of genuine multipartite concurrence for GHZ class Werner state increases as the temperature gradient between reservoirs are increased. However, this increase is non-linear and the preservation duration is shown to saturate for large temperature gradients. It is also observed that, for large temperature gradient, there are multiple intervals in which coherence and consequently the tripartite negativity shows robustness (freezing of correlation) against the environmental decoherence for W class Werner states. For the common temperature case, we show that the genuine multipartite concurrence for the GHZ class Werner state decays irreversibly, and the state experiences correlation sudden death, with a rate dependent on spectral density of the reservoirs under consideration. For the Ohmic reservoirs at low temperature, we observe that the state retains initial multipartite correlation upto a characteristic time and then sharply decays to zero with a correlation sudden death. We further investigate the dynamics of tripartite negativity and $l_1$ norm of coherence in the W class Werner states, and show irreversible degradation in these correlations.

arXiv comment19 pages, 10 figures

References in corpus (17)

• A computable measure of entanglement
• Quantum secret sharing
• Concentrating Partial Entanglement by Local Operations
• Quantum-enhanced measurements: beating the standard quantum limit
• Entanglement of a Pair of Quantum Bits
• Dynamical suppression of decoherence in two-state quantum systems
• Sudden Death of Entanglement
• Sudden transition between classical and quantum decoherence
• Experimental investigation of classical and quantum correlations under decoherence
• Measure of genuine multipartite entanglement with computable lower bounds
• A classification of entanglement in three-qubit systems
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• A Triangle Governs Genuine Tripartite Entanglement
• Decoherence in Two Bose-Einstein Condensates
• Amplification of quantum discord between two uncoupled qubits in a common environment by phase decoherence
• Quantifying genuine multipartite correlations and their pattern complexity
• Nonlinear Decoherence in Quantum State Preparation of a Trapped Ion