Quantum algorithms for cooling: a simple case study

Abstract

Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed matter physics. Quantum cooling algorithms offer a promising alternative to other methods based, for instance, on variational and adiabatic principles, or on dissipative state preparation. In this work, we investigate a set of cooling algorithms in a simple, solvable fermionic model which allows us to identify the mechanisms which underlie the cooling process and, also, those which prevent it. We derive analytical expressions for the cooling dynamics, steady states, and cooling rates in the weak coupling limit. We find that multi-frequency and randomized cycle strategies can significantly enhance the performance of the quantum algorithm and circumvent some of the obstacles. We also analyze the effects of noise and evaluate the conditions under which cooling remains feasible. Furthermore, we present optimized cooling protocols that can significantly enhance cooling performance in the presence of noise. Additionally, we compare cooling and dissipative state preparation and show that, in the model analyzed here, cooling generally achieves lower energies and is more resilient to noise.

40 (21+19) pages, 21 (16+5) figures

References in corpus (11)

• Variational Quantum Algorithms
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Bounds for the adiabatic approximation with applications to quantum computation
• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Single-ancilla ground state preparation via Lindbladians
• Quantum Computing by Cooling
• Few-qubit quantum refrigerator for cooling a multi-qubit system
• Programmable adiabatic demagnetization for systems with trivial and topological excitations
• Efficient Quantum Cooling Algorithm for Fermionic Systems
• Escaping Local Minima with Quantum Coherent Cooling

Cited by in corpus (5)

• Roadmap on Quantum Thermodynamics
• Rapid quantum ground state preparation via dissipative dynamics
• Hardware-efficient quantum phase estimation via local control
• Simple and efficient end-to-end quantum thermal and ground state preparation
• Diffusion in quantum state preparation: From passive cooling to system-bath engineering