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Title: State Preparation in Quantum Algorithms for Fragment-Based Quantum Chemistry

Journal Article · · Journal of Chemical Theory and Computation
ORCiD logo [1];  [2]; ORCiD logo [1]; ORCiD logo [3];  [4]
  1. Univ. of Chicago, IL (United States)
  2. HRL Laboratories LLC, Malibu, California 90265, United States
  3. Univ. of Chicago, IL (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)
  4. Argonne National Laboratory (ANL), Argonne, IL (United States). Center for Nanoscale Materials (CNM)

State preparation for quantum algorithms is crucial for achieving high accuracy in quantum chemistry and competing with classical algorithms. The localized active space–unitary coupled cluster (LAS–UCC) algorithm iteratively loads a fragment-based multireference wave function onto a quantum computer. Here, in this study, we compare two state preparation methods, quantum phase estimation (QPE) and direct initialization (DI), for each fragment. We test the two state preparation methods on three systems, ranging from a model system, a set of interacting hydrogen molecules, to more realistic chemical problems, like the C–C double bond breaking in transbutadiene and the spin ladder in a bimetallic system. We analyze the impact of QPE parameters, such as the number of ancilla qubits and Trotter steps, on the prepared state. We find a trade-off between the methods, where DI requires fewer resources for smaller fragments, while QPE is more efficient for larger fragments. Our resource estimates highlight the benefits of system fragmentation in state preparation for subsequent quantum chemical calculations. These findings have broad applications for preparing multireference quantum chemical wave functions on quantum circuits that can be used for realistic chemical applications.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
Defense Advanced Research Projects Agency (DARPA); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division (CSGB); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
2511235
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Journal Issue: 8 Vol. 20; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (40)

Finding Exponential Product Formulas of Higher Orders book November 2005
Pair Correlation Theories book January 1977
Über das Paulische Äquivalenzverbot book January 1993
Individualized configuration selection in CI calculations with subsequent energy extrapolation journal August 1974
A simple MC SCF perturbation theory: Orthogonal valence bond Møller-Plesset 2 (OVB MP2) journal July 1988
A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach journal May 1980
Alternative coupled-cluster ansätze II. The unitary coupled-cluster method journal February 1989
Variational Localized Active Space Self-Consistent Field Method journal June 2020
Graph-|Q⟩⟨C|, a Graph-Based Quantum/Classical Algorithm for Efficient Electronic Structure on Hybrid Quantum/Classical Hardware Systems: Improved Quantum Circuit Depth Performance journal April 2022
Localized Quantum Chemistry on Quantum Computers journal November 2022
Localized Active Space-State Interaction: a Multireference Method for Chemical Insight journal October 2022
Qubit Coupled Cluster Method: A Systematic Approach to Quantum Chemistry on a Quantum Computer journal November 2018
Multiconfigurational Self-Consistent Field Theory with Density Matrix Embedding: The Localized Active Space Self-Consistent Field Method journal November 2018
A Multireference Quantum Krylov Algorithm for Strongly Correlated Electrons journal February 2020
Graph-|Q⟩⟨C|: A Quantum Algorithm with Reduced Quantum Circuit Depth for Electronic Structure journal October 2023
Quantum Chemistry on Quantum Computers: A Method for Preparation of Multiconfigurational Wave Functions on Quantum Computers without Performing Post-Hartree–Fock Calculations journal December 2018
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets journal September 2017
A variational eigenvalue solver on a photonic quantum processor journal July 2014
An adaptive variational algorithm for exact molecular simulations on a quantum computer journal July 2019
A unitary multiconfigurational coupled‐cluster method: Theory and applications journal January 1988
A unitary group formulation of the complete active space configuration interaction method. I. General formalism journal April 1989
Second‐order perturbation theory with a complete active space self‐consistent field reference function journal January 1992
Fast semistochastic heat-bath configuration interaction journal December 2018
Recent developments in the P y SCF program package journal July 2020
Quantum computations: algorithms and error correction journal December 1997
Applicability of the multi-reference double-excitation CI (MRD-CI) method to the calculation of electronic wavefunctions and comparison with related techniques journal March 1978
Optimal quantum circuit synthesis from controlled-unitary gates journal April 2004
Quantum-state preparation with universal gate decompositions journal March 2011
Jordan-Wigner transformation for quantum-spin systems in two dimensions and fractional statistics journal July 1989
Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors journal December 1999
Quantum computing enhanced computational catalysis journal July 2021
Initial results in Prony analysis of power system response signals journal January 1990
Synthesis of quantum-logic circuits journal June 2006
Asymptotically Optimal Circuit Depth for Quantum State Preparation and General Unitary Synthesis journal October 2023
Low-Rank Quantum State Preparation journal January 2024
Hartree-Fock on a superconducting qubit quantum computer journal August 2020
An Adaptive Optimizer for Measurement-Frugal Variational Algorithms journal May 2020
Unitary Selective Coupled-Cluster Method journal May 2022
Latency considerations for stochastic optimizers in variational quantum algorithms journal March 2023
Postponing the orthogonality catastrophe: efficient state preparation for electronic structure simulations on quantum devices preprint January 2018