First-quantized eigensolver for ground and excited states of electrons under a uniform magnetic field
arXiv:2212.13800 · doi:10.35848/1347-4065/acddc0
Abstract
First-quantized eigensolver (FQE) is a recently proposed framework of quantum computation for obtaining the ground state of an interacting electronic system based on probabilistic imaginary-time evolution. In this study, we propose a method for introducing a uniform magnetic field to an FQE calculation. We demonstrate via resource estimation that the additional circuit responsible for the magnetic field can be implemented with a liner depth in terms of the number of qubits assigned to each electron, giving rise to no impact on the leading order of whole computational cost. We confirm the validity of our method via numerical simulations for ground and excited states by employing the filtration circuits for energy eigenstates. We also provide the generic construction of derivative circuits together with measurement-based formulae. As a special case of them, we can obtain the electric-current density in an electronic system to get insights into the microscopic origin of magnetic response.
References in corpus (32)
- Elementary gates for quantum computation
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- NMR Techniques for Quantum Control and Computation
- Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Experimental realization of a quantum algorithm
- Complete quantum teleportation using nuclear magnetic resonance
- Polynomial-time quantum algorithm for the simulation of chemical dynamics
- Efficient Simulation of Quantum Systems by Quantum Computers
- Addition on a Quantum Computer
- Quantum Simulations on a Quantum Computer
- Simulating chemistry efficiently on fault-tolerant quantum computers
- Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians
- Simulations of Many-Body Quantum Systems by a Quantum Computer
- Quantum Krylov subspace algorithms for ground and excited state energy estimation
- Quantum simulation of the single-particle Schrodinger equation
- Non-adiabatic molecular quantum dynamics with quantum computers
- Quantum Filter Diagonalization: Quantum Eigendecomposition without Full Quantum Phase Estimation
- Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
- Nuclear Magnetic Resonance Quantum Computing Using Liquid Crystal Solvents
- Grid-based methods for chemistry simulations on a quantum computer
- Quantum Circuits for Toom-Cook Multiplication
- Quantum simulations of one dimensional quantum systems
- Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules
- Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
- Landau Levels and the Issue of Gauge Invariance in Confined Spaces
- Exhaustive search for optimal molecular geometries using imaginary-time evolution on a quantum computer
- Improved reversible and quantum circuits for Karatsuba-based integer multiplication
- Finite element approach for simulating quantum electron dynamics in a magnetic field
- Theory of a two-level artificial molecule in laterally coupled quantum Hall droplets
- Roadmap for quantum simulation of the fractional quantum Hall effect
- Resource-frugal Hamiltonian eigenstate preparation via repeated quantum phase estimation measurements
Cited by in corpus (4)
- Optimal scheduling in probabilistic imaginary-time evolution on a quantum computer
- Accelerating quantum imaginary-time evolution with random measurements
- First-quantized adiabatic time evolution for the ground state of a many-electron system and the optimal nuclear configuration
- Encoded probabilistic imaginary-time evolution on a trapped-ion quantum computer for ground and excited states of spin qubits