The Energy Cost of Controlling Mesoscopic Quantum Systems

Abstract

We determine the minimum energy required to control the evolution of any mesoscopic quantum system in the presence of arbitrary Markovian noise processes. This result provides the mesoscopic equivalent of the fundamental cost of refrigeration, sets the minimum power consumption of mesoscopic devices that operate out of equilibrium, and allows one to calculate the efficiency of any control protocol, whether it be open-loop or feedback control. As examples we calculate the energy cost of maintaining a qubit in the ground state, the efficiency of resolved-sideband cooling of nano-mechanical resonators, and discuss the energy cost of quantum information processing.

5 pages, Revtex4, 3 png figures. To appear in PRL. Supplemental material is included as an ancillary file

References in corpus (10)

• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Circuit cavity electromechanics in the strong coupling regime
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
• An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Ground state cooling of nanomechanical resonator via parametric linear coupling
• Comparing resolved-sideband cooling and measurement-based feedback cooling on an equal footing: analytical results in the regime of ground-state cooling

Cited by in corpus (15)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum Thermodynamics
• Colloquium: Quantum Batteries
• Stabilizing Open Quantum Batteries by Sequential Measurements
• Charging a quantum battery with linear feedback control
• Accurate Lindblad-Form Master Equation for Weakly Damped Quantum Systems Across All Regimes
• Energetic cost of quantum control protocols
• Minimum energetic cost to maintain a target nonequilibrium state
• Energy consumption for ion transport in a segmented Paul trap
• Feedback Control of Waiting Times
• Cost of remembering a bit of information
• The role of quantum measurements in physical processes and protocols
• Finite time measurements by Unruh-DeWitt detector and Landauer's principle
• Network architecture of energy landscapes in mesoscopic quantum systems
• Global-Local Duality of Energetic Control Cost in Multipartite Quantum Correlated Systems