A measurement-based variational quantum eigensolver
arXiv:2010.13940 · doi:10.1103/PhysRevLett.126.220501
Abstract
Variational quantum eigensolvers (VQEs) combine classical optimization with efficient cost function evaluations on quantum computers. We propose a new approach to VQEs using the principles of measurement-based quantum computation. This strategy uses entagled resource states and local measurements. We present two measurement-based VQE schemes. The first introduces a new approach for constructing variational families. The second provides a translation of circuit-based to measurement-based schemes. Both schemes offer problem-specific advantages in terms of the required resources and coherence times.
arXiv commentFive pages of main text and three pages of supplemental material
References in corpus (48)
- Quantum Computing in the NISQ era and beyond
- Fault-tolerant quantum computation by anyons
- An overview of gradient descent optimization algorithms
- A variational eigenvalue solver on a quantum processor
- The theory of variational hybrid quantum-classical algorithms
- Measurement-based quantum computation with cluster states
- Quantum computational chemistry
- Improved Simulation of Stabilizer Circuits
- Experimental One-Way Quantum Computing
- Measurement-based quantum computation
- Multi-party entanglement in graph states
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Scalable Quantum Simulation of Molecular Energies
- Hartree-Fock on a superconducting qubit quantum computer
- Quantum optimization using variational algorithms on near-term quantum devices
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Simulating Lattice Gauge Theories within Quantum Technologies
- Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
- Quantum Natural Gradient
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- Deterministic generation of a two-dimensional cluster state
- Deterministic Generation of a Cluster State of Entangled Photons
- Cloud Quantum Computing of an Atomic Nucleus
- Tensor Network Renormalization
- Quantum Algorithms for Fermionic Simulations
- Graphical description of the action of local Clifford transformations on graph states
- Lattice gauge theories simulations in the quantum information era
- Hybrid quantum-classical approach to correlated materials
- Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
- Post-Matrix Product State Methods: To tangent space and beyond
- Solving nonlinear differential equations with differentiable quantum circuits
- Review on novel methods for lattice gauge theories
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory
- Variational spin-squeezing algorithms on programmable quantum sensors
- Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
- Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
- A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
- Fermionic orbital optimisation in tensor network states
- Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
- Universal and optimal error thresholds for measurement-based entanglement purification
- Optimal conversion of non--local unitary operations
- Measurement-based Quantum Communication
- Operational determination of multi-qubit entanglement classes via tuning of local operations
- Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
- Toward convergence of effective field theory simulations on digital quantum computers
- Real-time dynamics in 2+1d compact QED using complex periodic Gaussian states
- Tensor network methods with graph enhancement
Cited by in corpus (36)
- Towards simulating 2D effects in lattice gauge theories on a quantum computer
- QNLP in Practice: Running Compositional Models of Meaning on a Quantum Computer
- Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
- Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods
- Measurement cost of metric-aware variational quantum algorithms
- Adaptive estimation of quantum observables
- Near-deterministic hybrid generation of arbitrary photonic graph states using a single quantum emitter and linear optics
- Quantum algorithm for Feynman loop integrals
- Variational quantum simulation of U(1) lattice gauge theories with qudit systems
- A native measurement-based QAOA algorithm, applied to the MAX K-CUT problem
- Compilation of algorithm-specific graph states for quantum circuits
- Measurement-Based Time Evolution for Quantum Simulation of Fermionic Systems
- Efficient Quantum Simulation of QCD Jets on the Light Front
- Deterministic one-way logic gates on a cloud quantum computer
- Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
- Measurement-induced entanglement phase transitions in variational quantum circuits
- Measurement-based infused circuits for variational quantum eigensolvers
- Applicability of Measurement-based Quantum Computation towards Physically-driven Variational Quantum Eigensolver
- Generating scalable graph states in an atom-nanophotonic interface
- Applications and resource reductions in measurement-based variational quantum eigensolvers
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Quantum Simulation of non-Abelian Lattice Gauge Theories: a variational approach to
- Variational measurement-based quantum computation for generative modeling
- Solving lattice gauge theories using the quantum Krylov algorithm and qubitization
- Hardware-Efficient Preparation of Graph States on Near-Term Quantum Computers
- Adaptive Random Quantum Eigensolver
- Variational LOCC-assisted quantum circuits for long-range entangled states
- Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
- Measurement-based quantum machine learning
- Evolved Quantum Boltzmann Machines
- Minimally Universal Parity Quantum Computing
- Shadow Pauli Flow: Characterising Determinism in MBQCs involving Pauli Measurements
- Optimal Scheduling of Graph States via Path Decompositions
- An almost deterministic cooling by measurements
- Inserting Planar-Measured Qubits into MBQC Patterns while Preserving Flow
- Analog Quantum Approximate Optimization Algorithm