Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
arXiv:2312.09733 · doi:10.1016/j.future.2024.04.060
Abstract
Computational models are an essential tool for the design, characterization, and discovery of novel materials. Hard computational tasks in materials science stretch the limits of existing high-performance supercomputing centers, consuming much of their simulation, analysis, and data resources. Quantum computing, on the other hand, is an emerging technology with the potential to accelerate many of the computational tasks needed for materials science. In order to do that, the quantum technology must interact with conventional high-performance computing in several ways: approximate results validation, identification of hard problems, and synergies in quantum-centric supercomputing. In this paper, we provide a perspective on how quantum-centric supercomputing can help address critical computational problems in materials science, the challenges to face in order to solve representative use cases, and new suggested directions.
65 pages, 15 figures; comments welcome
References in corpus (285)
- Anyons in an exactly solved model and beyond
- Quantum Machine Learning
- A variational eigenvalue solver on a quantum processor
- Quantum algorithm for solving linear systems of equations
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- The nitrogen-vacancy colour centre in diamond
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Barren plateaus in quantum neural network training landscapes
- Improved Simulation of Stabilizer Circuits
- Quantum Spin Liquid States
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Theory of Intertwined Orders in High Temperature Superconductors
- Fermionic quantum computation
- Quantum random access memory
- Extending the computational reach of a noisy superconducting quantum processor
- Hamiltonian Simulation by Qubitization
- Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl
- Quantum annealing with more than one hundred qubits
- -RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
- Towards Quantum Chemistry on a Quantum Computer
- Frequency-dependent local interactions and low-energy effective models from electronic structure calculations
- Simulating Hamiltonian dynamics with a truncated Taylor series
- Elucidating Reaction Mechanisms on Quantum Computers
- Validating quantum computers using randomized model circuits
- Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach
- How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Band-structure trend in hole-doped cuprates and correlation with Tcmax
- Efficient quantum algorithms for simulating sparse Hamiltonians
- Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
- Models and Materials for Generalized Kitaev Magnetism
- Quantum Error Mitigation
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Stripe order in the underdoped region of the two-dimensional Hubbard model
- Toward the first quantum simulation with quantum speedup
- The Bravyi-Kitaev transformation for quantum computation of electronic structure
- Density matrix embedding: A simple alternative to dynamical mean-field theory
- Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
- Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
- Heat-bath Configuration Interaction: An efficient selected CI algorithm inspired by heat-bath sampling
- Magnetic order in the pseudogap phase of high- superconductors
- Scattering Continuum and Possible Fractionalized Excitations in -RuCl
- Magnetic order in -RuCl: a honeycomb lattice quantum magnet with strong spin-orbit coupling
- Instantaneous non-local computation of low T-depth quantum circuits
- The Heisenberg Representation of Quantum Computers
- Simulating quantum computation by contracting tensor networks
- Probing the Low-Energy Electronic Structure of Complex Systems by ARPES
- Properties of nitrogen-vacancy centers in diamond: group theoretic approach
- The Hubbard Model
- Robust determination of molecular spectra on a quantum processor
- Longer-Baseline Telescopes Using Quantum Repeaters
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- qubit-ADAPT-VQE: An adaptive algorithm for constructing hardware-efficient ansatze on a quantum processor
- A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
- Cloud Quantum Computing of an Atomic Nucleus
- First principles approach to the electronic structure of strongly correlated systems: combining GW and DMFT
- Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
- The randomized measurement toolbox
- Optically addressable molecular spins for quantum information processing
- Density matrix embedding: A strong-coupling quantum embedding theory
- An approximate Fourier transform useful in quantum factoring
- A deterministic alternative to the full configuration interaction quantum Monte Carlo method
- Low-energy spectrum of iron-sulfur clusters directly from many-particle quantum mechanics
- Architectures for a quantum random access memory
- Quantum Metropolis Sampling
- Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
- Even more efficient quantum computations of chemistry through tensor hypercontraction
- QMCPACK : An open source ab initio Quantum Monte Carlo package for the electronic structure of atoms, molecules, and solids
- Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
- Fermionic response from fractionalization in an insulating two-dimensional magnet
- A practical guide to density matrix embedding theory in quantum chemistry
- Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
- Simulating Large Quantum Circuits on a Small Quantum Computer
- Quantum Approximate Optimization of the Long-Range Ising Model with a Trapped-Ion Quantum Simulator
- Exact double-counting in combining the Dynamical Mean Field Theory and the Density Functional Theory
- QuEST and High Performance Simulation of Quantum Computers
- Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
- Phase Diagram of -RuCl in an in-plane Magnetic Field
- Extended Dynamical Mean Field Theory and GW method
- Automated optimization of large quantum circuits with continuous parameters
- Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
- Quantum private queries
- Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization
- Witnessing eigenstates for quantum simulation of Hamiltonian spectra
- Sampling from the thermal quantum Gibbs state and evaluating partition functions with a quantum computer
- Scalable error mitigation for noisy quantum circuits produces competitive expectation values
- Novel constructions for the fault-tolerant Toffoli gate
- Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method
- Mapping local Hamiltonians of fermions to local Hamiltonians of spins
- Recent Developments in Non-Fermi Liquid Theory
- Tapering off qubits to simulate fermionic Hamiltonians
- Quantum algorithms and the finite element method
- Efficient estimation of Pauli observables by derandomization
- Expanding the horizon of automated metamaterials discovery via quantum annealing
- Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers
- Digital zero noise extrapolation for quantum error mitigation
- Strategies for solving the Fermi-Hubbard model on near-term quantum computers
- The Chemistry of Quantum Spin Liquids
- 0.5 Petabyte Simulation of a 45-Qubit Quantum Circuit
- Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip
- Near-optimal ground state preparation
- Quantum simulations of materials on near-term quantum computers
- Increasing the representation accuracy of quantum simulations of chemistry without extra quantum resources
- Hardware-efficient quantum random access memory with hybrid quantum acoustic systems
- CutQC: Using Small Quantum Computers for Large Quantum Circuit Evaluations
- Fermionic partial tomography via classical shadows
- Digital quantum simulation of open quantum systems using quantum imaginary time evolution
- The Ground State Electronic Energy of Benzene
- A dissipative quantum Church-Turing theorem
- Quantum Simulation of Helium Hydride in a Solid-State Spin Register
- Efficient Implementation of Ab Initio Quantum Embedding in Periodic Systems: Density Matrix Embedding Theory
- A Quantum-Quantum Metropolis Algorithm
- Dynamics of the Kitaev-Heisenberg Model
- Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
- A Non-Orthogonal Variational Quantum Eigensolver
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Reliably assessing the electronic structure of cytochrome P450 on today's classical computers and tomorrow's quantum computers
- Leveraging Secondary Storage to Simulate Deep 54-qubit Sycamore Circuits
- A numerical canonical transformation approach to quantum many body problems
- Electron-Phonon Systems on a Universal Quantum Computer
- Error Mitigation by Symmetry Verification on a Variational Quantum Eigensolver
- Rethinking -RuCl
- The electronic complexity of the ground-state of the FeMo cofactor of nitrogenase as relevant to quantum simulations
- Evidence of Scaling Advantage for the Quantum Approximate Optimization Algorithm on a Classically Intractable Problem
- Theory of Finite Size Effects for Electronic Quantum Monte Carlo Calculations of Liquids and Solids
- Exactly-embedded multiconfigurational self-consistent field theory using density matrix embedding: the localized active space self-consistent field method
- Quantum algorithm for simulating the dynamics of an open quantum system
- Quantum Krylov subspace algorithms for ground and excited state energy estimation
- Classical Shadows With Noise
- J description of the honeycomb Mott insulator -RuCl
- When strong correlations become weak: Consistent merging of and DMFT
- A Compact Fermion to Qubit Mapping
- Circuit knitting with classical communication
- Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
- autoCAS: a program for fully automated multi-configurational calculations
- Electronic landscape of the P-cluster of nitrogenase as revealed through many-electron quantum wavefunctions
- First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
- Lowering qubit requirements for quantum simulations of fermionic systems
- Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
- Learning to Measure: Adaptive Informationally Complete Generalized Measurements for Quantum Algorithms
- Digital quantum simulation of molecular vibrations
- Quantum Power Method by a Superposition of Time-Evolved States
- Bravyi-Kitaev Superfast simulation of fermions on a quantum computer
- Improved quantum algorithms for linear and nonlinear differential equations
- Multitier self-consistent +EDMFT
- Hardware Efficient Quantum Algorithms for Vibrational Structure Calculations
- Approximate Quantum Fourier Transform with T gates
- Efficient universal blind computation
- Fault tolerant resource estimation of quantum random-access memories
- Real time evolution for ultracompact Hamiltonian eigenstates on quantum hardware
- Quantum simulation of partial differential equations via Schrodingerisation: technical details
- Finite temperature quantum embedding theories for correlated systems
- Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate -RuCl
- Ab initio quantum Monte Carlo calculations of spin superexchange in cuprates: the benchmarking case of CaCuO
- Generalized quantum subspace expansion
- Can Density Matrix Embedding Theory with the Complete Activate Space Self-Consistent Field Solver Describe Single and Double Bond Breaking in Molecular Systems?
- Stochastic determination of effective Hamiltonian for the full configuration interaction solution of quasi-degenerate electronic states
- Improving Hamiltonian encodings with the Gray code
- Representation Learning via Quantum Neural Tangent Kernels
- Green's function formulation of quantum defect embedding theory
- Exact and efficient Lanczos method on a quantum computer
- Minimizing estimation runtime on noisy quantum computers
- Swift beyond electrons using fractured stochastic orbitals
- Seamless high-Q microwave cavities for multimode circuit QED
- Quantum algorithm for calculating molecular vibronic spectra
- Quantum Filter Diagonalization: Quantum Eigendecomposition without Full Quantum Phase Estimation
- Self-energy embedding theory (SEET) for periodic systems
- Quantum Filter Diagonalization with Double-Factorized Hamiltonians
- Systematic electronic structure in the cuprate parent state from quantum many-body simulations
- The Variational Localized Active Space Self-Consistent Field Method
- Facilitated spin models of dissipative quantum glasses
- A theory of quantum subspace diagonalization
- Variational Quantum Eigensolver with Reduced Circuit Complexity
- Resilience of quantum random access memory to generic noise
- Quantum HF/DFT-Embedding Algorithms for Electronic Structure Calculations: Scaling up to Complex Molecular Systems
- How will quantum computers provide an industrially relevant computational advantage in quantum chemistry?
- Applying quantum algorithms to constraint satisfaction problems
- Time-marching based quantum solvers for time-dependent linear differential equations
- Generalized self-energy embedding theory
- On the CNOT-complexity of CNOT-PHASE circuits
- Quantum-classical hybrid algorithm using an error-mitigating -representability condition to compute the Mott metal-insulator transition
- Single-ancilla ground state preparation via Lindbladians
- Quantum Embedding Method for the Simulation of Strongly Correlated Systems on Quantum Computers
- Efficient classical simulation of the approximate quantum Fourier transform
- Simulating Open Quantum Systems Using Hamiltonian Simulations
- Analytic theory for the dynamics of wide quantum neural networks
- Quantum Error Mitigation using Symmetry Expansion
- Digital quantum simulation of many-body non-Markovian dynamics
- Experimental realization of 105-qubit random access quantum memory
- Simulating quantum chemistry in the seniority-zero space on qubit-based quantum computers
- Near- and long-term quantum algorithmic approaches for vibrational spectroscopy
- Speeding up Learning Quantum States through Group Equivariant Convolutional Quantum Ansätze
- Noise-assisted digital quantum simulation of open systems
- Quantum-classical simulation of two-site dynamical mean-field theory on noisy quantum hardware
- Dynamical mean field theory algorithm and experiment on quantum computers
- Ordering of Trotterization: Impact on Errors in Quantum Simulation of Electronic Structure
- Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
- Thermal State Preparation via Rounding Promises
- Chemistry on quantum computers with virtual quantum subspace expansion
- Reducing molecular electronic Hamiltonian simulation cost for Linear Combination of Unitaries approaches
- Simulating the electronic structure of spin defects on quantum computers
- Low cost quantum circuits for classically intractable instances of the Hamiltonian dynamics simulation problem
- The quantum FFT can be classically simulated
- Gutzwiller Hybrid Quantum-Classical Computing Approach for Correlated Materials
- Toward convergence of effective field theory simulations on digital quantum computers
- The 3-Band Hubbard-Model versus the 1-Band Model for the high-Tc Cuprates: Pairing Dynamics, Superconductivity and the Ground-State Phase Diagram
- Are multi-quasiparticle interactions important in molecular ionization?
- Towards Outperforming Classical Algorithms with Analog Quantum Simulators
- Scalable and High-Fidelity Quantum Random Access Memory in Spin-Photon Networks
- Adaptive estimation of quantum observables
- Equivalence between fermion-to-qubit mappings in two spatial dimensions
- Fluid fermionic fragments for optimizing quantum measurements of electronic Hamiltonians in the variational quantum eigensolver
- The Bonsai algorithm: grow your own fermion-to-qubit mapping
- Real-Time Krylov Theory for Quantum Computing Algorithms
- Improving quantum measurements by introducing "ghost" Pauli products
- Unitary Selective Coupled-Cluster Method
- No evidence for spontaneous orbital currents in finite size studies of three-band models for CuO planes
- First-principles Studies of Strongly Correlated States in Defect Spin Qubits in Diamond
- Dynamical Mean-Field Theory Simulations with the Adaptive Sampling Configuration Interaction Method
- Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry
- Challenges in the use of quantum computing hardware-efficient Ansatze in electronic structure theory
- Projection algorithm for state preparation on quantum computers
- Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
- Adaptive Pauli Shadows for Energy Estimation
- Lattice Quantum Chromodynamics and Electrodynamics on a Universal Quantum Computer
- Efficient Quantum Algorithms for Simulating Lindblad Evolution
- A novel approach to noisy gates for simulating quantum computers
- Data centers with quantum random access memory and quantum networks
- Metal-insulator transition in the ground-state of the three-band Hubbard model at half-filling
- Phase polynomials synthesis algorithms for NISQ architectures and beyond
- Tensor Network Quantum Simulator With Step-Dependent Parallelization
- Systems Architecture for Quantum Random Access Memory
- A randomized benchmarking suite for mid-circuit measurements
- Auxiliary-field based trial wave functions in quantum Monte Carlo calculations
- Simulating lossy Gaussian boson sampling with matrix product operators
- Constant-cost implementations of Clifford operations and multiply controlled gates using global interactions
- Szegedy Walk Unitaries for Quantum Maps
- Second-quantized fermionic operators with polylogarithmic qubit and gate complexity
- Wave Matrix Lindbladization I: Quantum Programs for Simulating Markovian Dynamics
- Quantum simulations of Fermionic Hamiltonians with efficient encoding and ansatz schemes
- Architectures for Multinode Superconducting Quantum Computers
- Quantum Data Center: Perspectives
- Quantum Thermal State Preparation
- Architecture-Aware Synthesis of Phase Polynomials for NISQ Devices
- Recompilation-enhanced simulation of electron-phonon dynamics on IBM Quantum computers
- HamLib: A library of Hamiltonians for benchmarking quantum algorithms and hardware
- Simulations of Frustrated Ising Hamiltonians with Quantum Approximate Optimization
- Optimizing fermionic encodings for both Hamiltonian and hardware
- Towards Perturbation Theory Methods on a Quantum Computer
- Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation
- Architecture aware compilation of quantum circuits via lazy synthesis
- ScaleQC: A Scalable Framework for Hybrid Computation on Quantum and Classical Processors
- A Compact Fermion to Qubit Mapping Part 2: Alternative Lattice Geometries
- Analysis of quantum Krylov algorithms with errors
- Adaptive POVM implementations and measurement error mitigation strategies for near-term quantum devices
- A Parallel, Distributed Memory Implementation of the Adaptive Sampling Configuration Interaction Method
- HPX -- An open source C++ Standard Library for Parallelism and Concurrency
- Wave Matrix Lindbladization II: General Lindbladians, Linear Combinations, and Polynomials
- SimuQ: A Framework for Programming Quantum Hamiltonian Simulation with Analog Compilation
- Efficient quantum programming using EASE gates on a trapped-ion quantum computer
- Sampling Error Analysis in Quantum Krylov Subspace Diagonalization
- Limitations for Quantum Algorithms to Solve Turbulent and Chaotic Systems
- Beyond MP2 initialization for unitary coupled cluster quantum circuits
- Scalable tensor-network error mitigation for near-term quantum computing
- Measurement-efficient quantum Krylov subspace diagonalisation
- An efficient and exact noncommutative quantum Gibbs sampler
- Zero noise extrapolation on logical qubits by scaling the error correction code distance
- Pre-optimizing variational quantum eigensolvers with tensor networks
- Tierkreis: A Dataflow Framework for Hybrid Quantum-Classical Computing
- Fermionic tomography and learning
- Boosting Quantum Fidelity with an Ordered Diverse Ensemble of Clifford Canary Circuits
- Deep Quantum Circuit Simulations of Low-Energy Nuclear States
- Fundamental causal bounds of quantum random access memories
- Quantum Davidson Algorithm for Excited States
- Large-scale sparse wavefunction circuit simulator for applications with the variational quantum eigensolver
- Enhancing quantum computer performance via symmetrization
- Dissipative ground state preparation and the Dissipative Quantum Eigensolver
- CollComm: Enabling Efficient Collective Quantum Communication Based on EPR buffering
- Quantum Semi-Supervised Learning with Quantum Supremacy
- Majorana Tensor Decomposition: A unifying framework for decompositions of fermionic Hamiltonians to Linear Combination of Unitaries
- Practical Benchmarking of Randomized Measurement Methods for Quantum Chemistry Hamiltonians
- Quantum Simulation of Lindbladian Dynamics via Repeated Interactions
- Using Random Walks for Iterative Phase Estimation
- Advances in compilation for quantum hardware -- A demonstration of magic state distillation and repeat-until-success protocols
- A Quantum Algorithm for Network Reliability
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- Three ways to share a QPU: Scheduling strategies for hybrid Quantum-HPC applications
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- Quantum community detection via deterministic elimination
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