Hybrid digital-analog simulation of many-body dynamics with superconducting qubits
arXiv:1909.10732 · doi:10.1103/PhysRevA.101.052337
Abstract
In recent years, there has been a significant progress in the development of digital quantum processors. The state-of-the-art quantum devices are imperfect, and fully-algorithmic fault-tolerant quantum computing is a matter of future. Until technology develops to the state with practical error correction, computational approaches other than the standard digital one can be used to avoid execution of the most noisy quantum operations. We demonstrate how a hybrid digital-analog approach allows simulating dynamics of a transverse-field Ising model without standard two-qubit gates, which are currently one of the most problematic building blocks of quantum circuits. We use qubit-qubit crosstalks (couplings) of IBM superconducting quantum processors to simulate Trotterized dynamics of spin clusters and then we compare the obtained results with the results of conventional digital computation based on two-qubit gates from the universal set. The comparison shows that digital-analog approach significantly outperforms standard digital approach for this simulation problem, despite of the fact that crosstalks in IBM quantum processors are small. We argue that the efficiency of digital-analog quantum computing can be improved with the help of more specialized processors, so that they can be used to efficiently implement other quantum algorithms. This indicates the prospect of a digital-to-analog strategy for near-term noisy intermediate-scale quantum computers.
arXiv comment19 pages, to be published in Physical Review A
References in corpus (43)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Computing
- Quantum algorithm for solving linear systems of equations
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Quantum Simulation
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Quantum principal component analysis
- Error mitigation for short-depth quantum circuits
- Many-body localization in a quantum simulator with programmable random disorder
- Observation of entanglement propagation in a quantum many-body system
- Quantum Error Correction for Beginners
- Efficient variational quantum simulator incorporating active error minimisation
- On Many-Body Localization for Quantum Spin Chains
- Practical Quantum Error Mitigation for Near-Future Applications
- Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
- Measure for the Non-Markovianity of Quantum Processes
- Procedure for systematically tuning up crosstalk in the cross resonance gate
- A blueprint for demonstrating quantum supremacy with superconducting qubits
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Cloud Quantum Computing of an Atomic Nucleus
- Experimental Investigation of an Eight Qubit Unit Cell in a Superconducting Optimization Processor
- Simulating quantum many-body dynamics on a current digital quantum computer
- Emulating many-body localization with a superconducting quantum processor
- Effective Hamiltonian models of the cross-resonance gate
- Quantum Computing with an 'Always On' Heisenberg Interaction
- Quantum localization bounds Trotter errors in digital quantum simulation
- Quantifying Non-Markovianity with Temporal Steering
- Digital-Analog Quantum Computation
- Coherent coupled qubits for quantum annealing
- Experimental realization of quantum cheque using a five-qubit quantum computer
- Non-Markovian Dynamics Impact on the Foundations of Statistical Mechanics
- Using non-Markovian measures to evaluate quantum master equations for photosynthesis
- Leggett-Garg test of superconducting qubit addressing the clumsiness loophole
- Algorithmic simulation of far-from-equilibrium dynamics using quantum computer
- Spin Squeezing under Non-Markovian Channels by Hierarchy Equation Method
- Non-Markovianity-assisted high-fidelity Deutsch-Jozsa algorithm in diamond
- Digital-analog quantum algorithm for the quantum Fourier transform
- Generalization and Demonstration of an Entanglement Based Deutsch-Jozsa Like Algorithm Using a 5-Qubit Quantum Computer
- Always On Non-Nearest-Neighbor Coupling in Scalable Quantum Computing
- Nondestructive classification of quantum states using an algorithmic quantum computer
- Neural network agent playing spin Hamiltonian games on a quantum computer
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- Superconducting Circuit Architecture for Digital-Analog Quantum Computing
- The effect of quantum noise on algorithmic perfect quantum state transfer on NISQ processors
- Depth analysis of variational quantum algorithms for heat equation
- Floquet Prethermal Phase Protected by U(1) Symmetry on a Superconducting Quantum Processor
- Quantum error reduction with deep neural network applied at the post-processing stage
- Quantum simulation of fermionic systems using hybrid digital-analog quantum computing approach
- Parameterized Hamiltonian simulation using quantum optimal control
- Fully-programmable universal quantum simulator with a one-dimensional quantum processor
- Quantum error mitigation in the regime of high noise using deep neural network: Trotterized dynamics
- Variational Quantum Gate Optimization at the Pulse Level
- Benchmarking Digital-Analog Quantum Computation
- Tight bound for the total time in digital-analog quantum computation