State preparation of AGP on a quantum computer without number projection
arXiv:2301.09586 · doi:10.1021/acs.jpca.3c00525
Abstract
The antisymmetrized geminal power (AGP) is equivalent to the number projected Bardeen-Cooper-Schrieffer (PBCS) wavefunction. It is also an elementary symmetric polynomial (ESP) state. We generalize previous research on deterministically implementing the Dicke state to a state preparation algorithm for an ESP state, or equivalently AGP, on a quantum computer. Our method is deterministic and has polynomial cost, and it does not rely on number symmetry breaking and restoration. We also show that our circuit is equivalent to a disentangled unitary paired coupled cluster operator and a layer of unitary Jastrow operator acting on a single Slater determinant. The method presented herein highlights the ability of disentangled unitary coupled cluster to capture non-trivial entanglement properties that are hardly accessible with traditional Hartree-Fock based electronic structure methods.
arXiv comment11 pages, 6 figures, manuscript revised
References in corpus (54)
- A variational eigenvalue solver on a quantum processor
- The theory of variational hybrid quantum-classical algorithms
- A Quantum Approximate Optimization Algorithm
- Quantum computational chemistry
- Quantum Chemistry in the Age of Quantum Computing
- An adaptive variational algorithm for exact molecular simulations on a quantum computer
- From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
- Hartree-Fock on a superconducting qubit quantum computer
- Multipartite entanglement and high precision metrology
- Generalized Unitary Coupled Cluster Wavefunctions for Quantum Computation
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Exactly solvable Richardson-Gaudin models for many-body quantum systems
- Quantum-state preparation with universal gate decompositions
- Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
- Solving strongly correlated electron models on a quantum computer
- A Quantum Computing View on Unitary Coupled Cluster Theory
- Exact Parameterization of Fermionic Wave Functions via Unitary Coupled Cluster Theory
- Projected Quasiparticle Theory for Molecular Electronic Structure
- A divide-and-conquer algorithm for quantum state preparation
- Is the Trotterized UCCSD Ansatz chemically well-defined?
- Seniority-based coupled cluster theory
- Quantum algorithms to simulate many-body physics of correlated fermions
- Symmetry restoration in mean-field approaches
- Deterministic Preparation of Dicke States
- Quasiparticle Coupled Cluster Theory for Pairing Interactions
- A Jastrow-type decomposition in quantum chemistry for low-depth quantum circuits
- The Jastrow antisymmetric geminal power in Hilbert space: theory, benchmarking, and application to a novel transition state
- Pair extended coupled cluster doubles
- Static and dynamical correlation in diradical molecules by Quantum Monte Carlo using the Jastrow Antisymmetrized Geminal Power ansatz
- Polynomial Similarity Transformation Theory: A smooth interpolation between coupled cluster doubles and projected BCS applied to the reduced BCS Hamiltonian
- Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
- A necessary and sufficient condition to play games in quantum mechanical settings
- Symmetry assisted preparation of entangled many-body states on a quantum computer
- Correlating AGP on a quantum computer
- Simulating quantum chemistry in the seniority-zero space on qubit-based quantum computers
- A Divide-and-Conquer Approach to Dicke State Preparation
- Geminal-Based Configuration Interaction
- Optimized Low-Depth Quantum Circuits for Molecular Electronic Structure using a Separable Pair Approximation
- Efficient evaluation of AGP reduced density matrices
- Correlating the Antisymmetrized Geminal Power Wave Function
- Preparing Bethe Ansatz Eigenstates on a Quantum Computer
- Geminal replacement models based on AGP
- Exploring non-linear correlators on AGP
- Quantum storage in quantum ferromagnets
- Preparing exact eigenstates of the open XXZ chain on a quantum computer
- Assessing the Accuracy of the Jastrow Antisymmetrized Geminal Power in the H4 Model System
- Construction of linearly independent non-orthogonal AGP states
- AGP-based unitary coupled cluster theory for quantum computers
- Bethe states on a quantum computer: success probability and correlation functions
- Motif magnetism and quantum many-body scars
- The Canted Spiral: An Exact Ground State of XXZ Zigzag Ladders
- Cooper-Pair Condensates with Non-Classical Long-Range Order on Quantum Devices
- Strong-Weak Duality via Jordan-Wigner Transformation: Using Fermionic Methods for Strongly Correlated Spin Systems
- Colorful points in the XY regime of XXZ quantum magnets