Environment-Assisted Shortcuts to Adiabaticity

Area of Science:

• Quantum mechanics
• Quantum information science
• Quantum control

Background:

• Envariance is a fundamental symmetry in correlated quantum systems.
• Shortcuts to adiabaticity aim to speed up quantum processes while maintaining desired states.
• Traditional methods like counterdiabatic driving can be resource-intensive.

Purpose of the Study:

• To propose a novel method for shortcuts to adiabaticity.
• To leverage the principle of envariance for quantum system control.
• To enable systems to remain on the adiabatic manifold using environmental control.

Main Methods:

• Developing a method for controlling the environment of a quantum system.
• Constructing the specific environmental driving required for adiabatic dynamics.
• Analyzing the method for composite states in arbitrary dimensions.

Main Results:

• A unique form of environmental driving was derived to maintain adiabatic evolution.
• The proposed environment-assisted technique was compared to counterdiabatic driving in terms of cost.
• The method was demonstrated using a two-qubit model.

Conclusions:

• Environment-assisted control offers a viable alternative for shortcuts to adiabaticity.
• This approach provides a new perspective on controlling quantum dynamics.
• The findings have implications for quantum computation and simulation.