Learning from physics experiments, with quantum computers: Applications in muon spectroscopy
arXiv:2012.06602 · doi:10.1103/PRXQuantum.2.020349
Abstract
Computational physics is an important tool for analysing, verifying, and -- at times -- replacing physical experiments. Nevertheless, simulating quantum systems and analysing quantum data has so far resisted an efficient classical treatment in full generality. While programmable quantum systems have been developed to address this challenge, the resources required for classically intractable problems still lie beyond our reach. In this work, we consider a new target for quantum simulation algorithms; analysing the data arising from physics experiments -- specifically, muon spectroscopy experiments. These experiments can be used to probe the quantum interactions present in condensed matter systems. However, fully analysing their results can require classical computational resources scaling exponentially with the simulated system size, which can limit our understanding of the studied system. We show that this task may be a natural fit for the coming generations of quantum computers. We use classical emulations of our quantum algorithm on systems of up to 29 qubits to analyse real experimental data, and to estimate both the near-term and error corrected resources required for our proposal. We find that our algorithm exhibits good noise resilience, stemming from our desire to extract global parameters from a fitted curve, rather than targeting any individual data point. In some respects, our resource estimates go further than some prior work in quantum simulation, by estimating the resources required to solve a complete task, rather than just to run a given circuit. Taking the overhead of observable measurement and calculating multiple datapoints into account, we find that significant challenges still remain if our algorithm is to become practical for analysing muon spectroscopy data.
References in corpus (53)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Computing
- Surface codes: Towards practical large-scale quantum computation
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Barren plateaus in quantum neural network training landscapes
- Quantum computational chemistry
- Quantum Convolutional Neural Networks
- Error mitigation for short-depth quantum circuits
- Quantum Error Correction for Quantum Memories
- On the Power of One Bit of Quantum Information
- Quantum information processing with superconducting circuits: a review
- Hamiltonian Simulation by Qubitization
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Simulating Hamiltonian dynamics with a truncated Taylor series
- Quantum Error Correction for Beginners
- Efficient variational quantum simulator incorporating active error minimisation
- Roads towards fault-tolerant universal quantum computation
- High-Fidelity Universal Gate Set for Be Ion Qubits
- Quantum Manipulations of Small Josephson Junctions
- Spin-polarized muons in condensed matter physics
- A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
- Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
- Gate count estimates for performing quantum chemistry on small quantum computers
- Halving the cost of quantum addition
- Fast quantum logic gates with trapped-ion qubits
- On the role of entanglement and correlations in mixed-state quantum computation
- QuEST and High Performance Simulation of Quantum Computers
- Hamiltonian Learning and Certification Using Quantum Resources
- Optimal Quantum Measurements of Expectation Values of Observables
- Chemical Basis of Trotter-Suzuki Errors in Quantum Chemistry Simulation
- Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms
- Quantum computation with realistic magic state factories
- Li diffusion in LiCoO probed by muon-spin spectroscopy
- Resource-efficient digital quantum simulation of -level systems for photonic, vibrational, and spin- Hamiltonians
- Quantum localization bounds Trotter errors in digital quantum simulation
- Quantum hardware simulating four-dimensional inelastic neutron scattering
- On the hardness of classically simulating the one clean qubit model
- Direct comparison of many-body methods for realistic electronic Hamiltonians
- Playing quantum hide-and-seek with the muon: localizing muon stopping sites
- Quantum states of muons in fluorides
- Locality and digital quantum simulation of power-law interactions
- Ab initio strategy for muon site assignment in wide band gap fluorides
- Impossibility of Classically Simulating One-Clean-Qubit Computation
- Resource Estimation for Quantum Variational Simulations of the Hubbard Model
- Muon-fluorine entangled states in molecular magnets
- Circuit optimization of Hamiltonian simulation by simultaneous diagonalization of Pauli clusters
- Hardness of classically sampling one clean qubit model with constant total variation distance error
- An efficient high dimensional quantum Schur transform
- Information and decoherence in a muon-fluorine coupled system
- Toward the computational prediction of muon sites and interaction parameters
- Precision Search for Magnetic Order in the Pseudogap Regime of La2-xSrxCuO4 by Muon Spin Relaxation
- Quantum effects in muon spin spectroscopy within the stochastic self-consistent harmonic approximation
- Probing magnetic order and disorder in the one-dimensional molecular spin chains CuF2(pyz) and [Ln(hfac)3(boaDTDA)]n (Ln=Sm, La) using implanted muons