Dissipative Preparation of Many-Body Quantum States: Towards Practical Quantum Advantage

Abstract

While dissipation has traditionally been viewed as an obstacle to quantum coherence, it is increasingly recognized as a powerful computational resource. Dissipative protocols can prepare complex many-body quantum states by leveraging engineered system-environment interactions. This essay focuses on a class of algorithms that utilize algorithmically constructed Lindblad generators, and highlight recent advances enabling the preparation of ground and thermal states for certain non-commuting Hamiltonians with rigorous performance guarantees. We also propose extensions of these protocols to prepare excited and resonance states, which may offer new pathways toward realizing practical quantum advantage on early fault-tolerant quantum computing platforms.

References in corpus (51)

• Feshbach Resonances in Ultracold Gases
• Exceptional Topology of Non-Hermitian Systems
• Non-Markovian dynamics in open quantum systems
• Symmetry and Topology in Non-Hermitian Physics
• Preparation of Entangled States by Quantum Markov Processes
• Spectral Gap and Exponential Decay of Correlations
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Ab initio calculation of the Hoyle state
• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Structure and rotations of the Hoyle state
• Quantum Metropolis Sampling
• Hardware-efficient autonomous quantum error correction
• Is there evidence for exponential quantum advantage in quantum chemistry?
• Simulation methods for open quantum many-body systems
• Towards a theory of metastability in open quantum dynamics
• Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers
• Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
• A dissipative quantum Church-Turing theorem
• Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
• Measurement as a shortcut to long-range entangled quantum matter
• Quantum logarithmic Sobolev inequalities and rapid mixing
• The ${\chi }^2$-divergence and Mixing times of quantum Markov processes
• Preparing ground states of quantum many-body systems on a quantum computer
• Completely positive master equation for arbitrary driving and small level spacing
• Optimal polynomial based quantum eigenstate filtering with application to solving quantum linear systems
• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms
• Measurement-induced steering of quantum systems
• Symmetry in Auxiliary-Field Quantum Monte Carlo Calculations
• A randomized quantum algorithm for statistical phase estimation
• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Symmetry Constraints and Variational Principles in Diffusion Quantum Monte Carlo Calculations of Excited-State Energies
• Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
• Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups
• Single-ancilla ground state preparation via Lindbladians
• Stability of local quantum dissipative systems
• Simulating Open Quantum Systems Using Hamiltonian Simulations
• Thermal State Preparation via Rounding Promises
• Rapid thermalization of spin chain commuting Hamiltonians
• Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array
• Automatic Quantum Error Correction
• Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition
• A quantum hamiltonian simulation benchmark
• Quantum Langevin Dynamics for Optimization
• Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
• Dilute measurement-induced cooling into many-body ground states
• Fixing detailed balance in ancilla-based dissipative state engineering
• Accuracy guarantees and quantum advantage in analogue open quantum simulation with and without noise
• Dissipative variational quantum algorithms for Gibbs state preparation
• Mixing Time of Open Quantum Systems via Hypocoercivity
• Quantum Dissipative Search via Lindbladians

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