Optimal protocols for slowly-driven quantum processes

Abstract

The design of efficient quantum information processing will rely on optimal nonequilibrium transitions of driven quantum systems. Building on a recently-developed geometric framework for computing optimal protocols for classical systems driven in finite-time, we construct a general framework for optimizing the average information entropy for driven quantum systems. Geodesics on the parameter manifold endowed with a positive semi-definite metric correspond to protocols that minimize the average information entropy production in finite-time. We use this framework to explicitly compute the optimal entropy production for a simple two-state quantum system coupled to a heat bath of bosonic oscillators, which has applications to quantum annealing.

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• Thermodynamic control -- an old paradigm with new applications
• Action quantum speed limits
• Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Minimal dissipation in processes far from equilibrium
• Diverging, but negligible power at Carnot efficiency: theory and experiment
• Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system
• Optimal finite-time Brownian Carnot engine
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• From non-equilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: steady state and adiabatic dynamics
• Extrapolating the thermodynamic length with finite-time measurements
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• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
• Refining Landauer's Stack: Balancing Error and Dissipation When Erasing Information
• Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
• Maximum efficiency of absorption refrigerators at arbitrary cooling power
• Optimal control with a strong harmonic trap
• Speeding up quantum adiabatic processes with dynamical quantum geometric tensor
• Work statistics in slow thermodynamic processes
• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
• Maximum efficiency of low-dissipation heat pumps at given heating load
• Analytical solution for optimal protocols of weak drivings
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Quantum adiabatic optimization without heuristics
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• Optimizing low-dissipation Carnot-like thermal devices with heat leak
• Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction
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