Genuine tripartite entanglement in quantum brachistochrone evolution of a three-qubit system

Abstract

We explore the connection between quantum brachistochrone (time-optimal) evolution of a three-qubit system and its residual entanglement called three-tangle. The result shows that the entanglement between two qubits is not required for some brachistochrone evolutions of a three-qubit system. However, the evolution between two distinct states cannot be implemented without its three-tangle, except for the trivial cases in which less than three qubits attend evolution. Although both the probability density function of the time-averaged three-tangle and that of the time-averaged squared concurrence between two subsystems become more and more uniform with the decrease in angles of separation between an initial state and a final state, the features of their most probable values exhibit a different trend.

6 pages, 3 figures

References in corpus (4)

• Entanglement and the Lower Bounds on the Speed of Quantum Evolution
• A generalization of Margolus-Levitin bound
• Entanglement and the Speed of Evolution in Mixed States
• Thermodynamic cost of reversible computing

Cited by in corpus (7)

• Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain
• Quantum brachistochrone problem for two spins-1/2 with anisotropic Heisenberg interaction
• Optimizing state transfer in a three-qubit array via quantum brachistochrone method
• Brachistochrone of Entanglement for Spin Chains
• Derivation of the robustness from the concurrence
• Implementation of a two-qubit state by an auxiliary qubit on the three-spin system
• Speed of evolution in entangled fermionic systems