Tight and attainable quantum speed limit for open systems

Abstract

We develop an intuitive geometric picture of quantum states, define a particular state distance, and derive a quantum speed limit (QSL) for open systems. Our QSL is attainable because any initial state can be driven to a final state by the particular dynamics along the geodesic. We present the general condition for dynamics along the geodesic for our QSL. As evidence, we consider the generalized amplitude damping dynamics and the dephasing dynamics to demonstrate the attainability. In addition, we also compare our QSL with others by strict analytic processes as well as numerical illustrations, and show our QSL is tight in many cases. It indicates that our work is significant in tightening the bound of evolution time.

References in corpus (14)

• Quantum speed limit for physical processes
• Quantum speed limits in open system dynamics
• An alternative quantum fidelity for mixed states of qudits
• Alternative fidelity measure for quantum states
• Classical-driving-assisted quantum speed-up
• Quantum-speed-limit time for multiqubit open systems
• Comment on "Geometric derivation of the quantum speed limit"
• Quantum speed limits and the maximal rate of information production
• Nonexponential quantum decay under environmental decoherence
• Action quantum speed limits
• Distance Bounds on Quantum Dynamics
• Lieb-Robinson bounds and the speed of light from topological order
• An improved bound for quantum speed limit time in open quantum systems by introducing an alternative fidelity
• Entanglement and the Speed of Evolution in Mixed States