Variational quantum simulation of long-range interacting systems
arXiv:2203.14281 · doi:10.1088/1367-2630/acd571
Abstract
Current quantum simulators suffer from multiple limitations such as short coherence time, noisy operations, faulty readout and restricted qubit connectivity in some platforms. Variational quantum algorithms are the most promising approach in near-term quantum simulation to achieve practical quantum advantage over classical computers. Here, we explore variational quantum algorithms, with different levels of qubit connectivity, for digital simulation of the ground state of long-range interacting systems as well as generation of spin squeezed states. We find that as the interaction becomes more long-ranged, the variational algorithms become less efficient, achieving lower fidelity and demanding more optimization iterations. In particular, when the system is near its criticality the efficiency is even lower. Increasing the connectivity between distant qubits improves the results, even with less quantum and classical resources. Our results show that by mixing circuit layers with different levels of connectivity one can sensibly improve the performance. Interestingly, the order of layers becomes very important and grouping the layers with long-distance connectivity at the beginning of the circuit outperforms other permutations. The same design of circuits can also be used to variationally produce spin squeezed states, as a resource for quantum metrology.
arXiv comment12 pages, 7 figures
References in corpus (76)
- Adam: A Method for Stochastic Optimization
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Machine Learning
- A variational eigenvalue solver on a quantum processor
- Variational Quantum Algorithms
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Quantum Simulation
- Quantum information with Rydberg atoms
- Probing many-body dynamics on a 51-atom quantum simulator
- Quantum computational advantage using photons
- The theory of variational hybrid quantum-classical algorithms
- A Quantum Approximate Optimization Algorithm
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum machine learning in feature Hilbert spaces
- Quantum metrology with nonclassical states of atomic ensembles
- The physics of dipolar bosonic quantum gases
- Strong quantum computational advantage using a superconducting quantum processor
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- A Rydberg Quantum Simulator
- Quantum spin squeezing
- Boson Sampling on a Photonic Chip
- Hartree-Fock on a superconducting qubit quantum computer
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Quantum Simulators: Architectures and Opportunities
- Variational ansatz-based quantum simulation of imaginary time evolution
- Quantum machine learning: a classical perspective
- Quantum Approximate Optimization of Non-Planar Graph Problems on a Planar Superconducting Processor
- Variational Quantum Computation of Excited States
- Theory of variational quantum simulation
- Optimal Quantum Circuits for General Two-Qubit Gates
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
- Quantum algorithms for electronic structure calculations: particle/hole Hamiltonian and optimized wavefunction expansions
- Quantum walks on a programmable two-dimensional 62-qubit superconducting processor
- Subspace-search variational quantum eigensolver for excited states
- Information Scrambling in Computationally Complex Quantum Circuits
- Obstacles to State Preparation and Variational Optimization from Symmetry Protection
- Entanglement entropy for the long range Ising chain
- Quantum Approximate Optimization of the Long-Range Ising Model with a Trapped-Ion Quantum Simulator
- Variational quantum simulation of general processes
- Efficient Symmetry-Preserving State Preparation Circuits for the Variational Quantum Eigensolver Algorithm
- Variational Fast Forwarding for Quantum Simulation Beyond the Coherence Time
- Bell Correlations in a Bose-Einstein Condensate
- Optimal metrology with programmable quantum sensors
- Exploiting symmetry in variational quantum machine learning
- Variational algorithms for linear algebra
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Variational spin-squeezing algorithms on programmable quantum sensors
- Cooling and entangling ultracold atoms in optical lattices
- Fisher Information in Noisy Intermediate-Scale Quantum Applications
- A variational toolbox for quantum multi-parameter estimation
- Variational-State Quantum Metrology
- Observation of many-body long-range tunneling after a quantum quench
- Layer VQE: A Variational Approach for Combinatorial Optimization on Noisy Quantum Computers
- Symmetry-adapted variational quantum eigensolver
- Multi-speed prethermalization in spin models with power-law decaying interactions
- Variational Quantum Algorithm for Estimating the Quantum Fisher Information
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Towards a Larger Molecular Simulation on the Quantum Computer: Up to 28 Qubits Systems Accelerated by Point Group Symmetry
- Variational Quantum Eigensolver for Frustrated Quantum Systems
- Scaling of variational quantum circuit depth for condensed matter systems
- Demonstration of Adiabatic Variational Quantum Computing with a Superconducting Quantum Coprocessor
- Penalty methods for variational quantum eigensolver
- Subspace Variational Quantum Simulator
- Experimental characterization of quantum many-body localization transition
- Efficient quantum algorithm for preparing molecular-system-like states on a quantum computer
- A Survey of Quantum Learning Theory
- Robust spin squeezing from the tower of states of -symmetric spin Hamiltonians
- Symmetry enhanced variational quantum spin eigensolver
- Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise
- Shallow-circuit variational quantum eigensolver based on symmetry-inspired Hilbert space partitioning for quantum chemical calculations
- Generating Haar-uniform Randomness using Stochastic Quantum Walks on a Photonic Chip
- Accelerated variational algorithms for digital quantum simulation of many-body ground states
- Natural parameterized quantum circuit