Tomography-assisted noisy quantum circuit simulator using matrix product density operators
arXiv:2508.07610 · doi:10.1103/PhysRevA.110.032604
Abstract
In recent years, efficient quantum circuit simulations incorporating ideal noise assumptions have relied on tensor network simulators, particularly leveraging the matrix product density operator (MPDO) framework. However, experiments on real noisy intermediate-scale quantum (NISQ) devices often involve complex noise profiles, encompassing uncontrollable elements and instrument-specific effects such as crosstalk. To address these challenges, we employ quantum process tomography (QPT) techniques to directly capture the operational characteristics of the experimental setup and integrate them into numerical simulations using MPDOs. Our QPT-assisted MPDO simulator is then applied to explore a variational approach for generating noisy entangled states, comparing the results with standard noise numerical simulations and demonstrations conducted on the Quafu cloud quantum computation platform. Additionally, we investigate noisy MaxCut problems, as well as the effects of crosstalk and noise truncation. Our results provide valuable insights into the impact of noise on NISQ devices and lay the foundation for enhanced design and assessment of quantum algorithms in complex noise environments.
14 pages, 15 figures, 1 table
References in corpus (32)
- Quantum Computing in the NISQ era and beyond
- The density-matrix renormalization group in the age of matrix product states
- Efficient classical simulation of slightly entangled quantum computations
- Noisy intermediate-scale quantum (NISQ) algorithms
- Efficient simulation of one-dimensional quantum many-body systems
- Quantum computational chemistry
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Quantum Error Mitigation
- The iTEBD algorithm beyond unitary evolution
- Simulating quantum computation by contracting tensor networks
- Matrix product operator representations
- Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy
- Average-case complexity versus approximate simulation of commuting quantum computations
- Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler
- Is there evidence for exponential quantum advantage in quantum chemistry?
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- What limits the simulation of quantum computers?
- Modelling and Simulating the Noisy Behaviour of Near-term Quantum Computers
- Noisy intermediate-scale quantum computers
- Quantum crosstalk analysis for simultaneous gate operations on superconducting qubits
- Efficient classical simulation of noisy random quantum circuits in one dimension
- Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
- Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
- One-dimensional many-body entangled open quantum systems with tensor network methods
- Quantum error mitigation via matrix product operators
- Crosstalk analysis for single-qubit and two-qubit gates in spin qubit arrays
- Simulating Noisy Quantum Circuits with Matrix Product Density Operators
- Simulating and mitigating crosstalk
- Entanglement dynamics of three-qubit states in noisy channels
- Simulating quantum circuits using efficient tensor network contraction algorithms with subexponential upper bound
- Speed of disentanglement in multi-qubit systems under depolarizing channel