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Dissipative ground state preparation in ab initio electronic structure theory

Journal Article · · npj Quantum Information
 [1];  [2];  [3]
  1. Tsinghua Univ., Beijing (China); University of California, Berkeley, CA (United States)
  2. California Institute of Technology (CalTech), Pasadena, CA (United States)
  3. University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Dissipative engineering is a powerful tool for quantum state preparation, and has drawn significant attention in quantum algorithms and quantum many-body physics in recent years. In this work, we introduce a novel approach using the Lindblad dynamics to efficiently prepare the ground state for general ab initio electronic structure problems on quantum computers, without variational parameters. These problems often involve Hamiltonians that lack geometric locality or sparsity structures, which we address by proposing two generic types of jump operators for the Lindblad dynamics. Type-I jump operators break the particle number symmetry and should be simulated in the Fock space. Type-II jump operators preserves the particle number symmetry and can be simulated more efficiently in the full configuration interaction space. For both types of jump operators, we prove that in a simplified Hartree-Fock framework, the spectral gap of our Lindbladian is lower bounded by a universal constant. For physical observables such as energy and reduced density matrices, the convergence rate of our Lindblad dynamics with Type-I jump operators remains universal, while the convergence rate with Type-II jump operators only depends on coarse grained information such as the number of orbitals and the number of electrons. To validate our approach, we employ a Monte Carlo trajectory-based algorithm for simulating the Lindblad dynamics for full ab initio Hamiltonians, demonstrating its effectiveness on molecular systems amenable to exact wavefunction treatment.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
National Natural Science Foundation of China; Simons Investigator in Mathematics; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC02-05CH11231; SC0025572
OSTI ID:
3009050
Journal Information:
npj Quantum Information, Journal Name: npj Quantum Information Journal Issue: 1 Vol. 11; ISSN 2056-6387
Publisher:
Nature Partner JournalsCopyright Statement
Country of Publication:
United States
Language:
English

References (59)

Concepts and Methods in the Theory of Open Quantum Systems book January 2003
Markovian master equations journal June 1974
On the generators of quantum dynamical semigroups journal June 1976
Quantum Gibbs Samplers: The Commuting Case journal May 2016
Thermalization Time Bounds for Pauli Stabilizer Hamiltonians journal September 2016
Entropy Decay for Davies Semigroups of a One Dimensional Quantum Lattice journal February 2024
Efficient Quantum Gibbs Samplers with Kubo–Martin–Schwinger Detailed Balance Condition journal February 2025
Stability conditions and nuclear rotations in the Hartree-Fock theory journal November 1960
Nonequilibrium Many-Body Theory of Quantum Systems book March 2013
Walking through Hilbert Space with Quantum Computers journal May 2025
Twenty Years of Auxiliary-Field Quantum Monte Carlo in Quantum Chemistry: An Overview and Assessment on Main Group Chemistry and Bond-Breaking journal October 2022
Generalized Unitary Coupled Cluster Wave functions for Quantum Computation journal November 2018
Quantum computation and quantum-state engineering driven by dissipation journal July 2009
Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry journal April 2023
Variational ansatz-based quantum simulation of imaginary time evolution journal September 2019
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution journal November 2019
Unbiasing fermionic quantum Monte Carlo with a quantum computer journal March 2022
Variational quantum algorithms journal August 2021
Fermion Monte Carlo without fixed nodes: A game of life, death, and annihilation in Slater determinant space journal January 2009
The χ2-divergence and mixing times of quantum Markov processes journal December 2010
Quantum logarithmic Sobolev inequalities and rapid mixing journal May 2013
Faster ground state preparation and high-precision ground energy estimation with fewer qubits journal February 2019
Completely positive dynamical semigroups of N-level systems journal January 1976
Third quantization: a general method to solve master equations for quadratic open Fermi systems journal April 2008
Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition journal February 2010
Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments journal February 2019
Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems journal November 2022
On thermalization in Kitaev's 2D model journal January 2009
Hypercontractivity of quasi-free quantum semigroups journal September 2014
Quantum-jump vs stochastic Schrödinger dynamics for Gaussian states with quadratic Hamiltonians and linear Lindbladians journal November 2022
Fault-Tolerant Quantum Simulations of Chemistry in First Quantization journal November 2021
Heisenberg-Limited Ground-State Energy Estimation for Early Fault-Tolerant Quantum Computers journal February 2022
Measurement as a Shortcut to Long-Range Entangled Quantum Matter journal December 2022
Complexity of Implementing Trotter Steps journal May 2023
Even Shorter Quantum Circuit for Phase Estimation on Early Fault-Tolerant Quantum Computers with Applications to Ground-State Energy Estimation journal May 2023
Rapid Initial-State Preparation for the Quantum Simulation of Strongly Correlated Molecules journal May 2025
Symmetry-protected dissipative preparation of matrix product states journal September 2021
Fast inversion, preconditioned quantum linear system solvers, fast Green's-function computation, and fast evaluation of matrix functions journal September 2021
Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array journal July 2023
Monte Carlo simulation of the atomic master equation for spontaneous emission journal April 1992
Application of Hilbert-space coupled-cluster theory to simple ( H 2 ) 2 model systems: Planar models journal April 1993
Preparation of entangled states by quantum Markov processes journal October 2008
Stochastic wave-function unraveling of the generalized Lindblad master equation journal April 2009
Noise-driven dynamics and phase transitions in fermionic systems journal January 2013
Relaxation times of dissipative many-body quantum systems journal October 2015
Randomized Quantum Algorithm for Statistical Phase Estimation journal July 2022
Quantum State Preparation with Optimal Circuit Depth: Implementations and Applications journal November 2022
Rapid Thermalization of Spin Chain Commuting Hamiltonians journal February 2023
Wave-function approach to dissipative processes in quantum optics journal February 1992
Constrained Path Quantum Monte Carlo Method for Fermion Ground States journal May 1995
Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants journal April 2003
Single-ancilla ground state preparation via Lindbladians journal August 2024
Adiabatic quantum computation journal January 2018
Simulated Quantum Computation of Molecular Energies journal September 2005
Completely positive master equation for arbitrary driving and small level spacing journal February 2020
Near-optimal ground state preparation journal December 2020
Nearly tight Trotterization of interacting electrons journal July 2021
Heisenberg-limited quantum phase estimation of multiple eigenvalues with few control qubits journal October 2022
Thermal State Preparation via Rounding Promises journal October 2023

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