A novel approach to noisy gates for simulating quantum computers

Abstract

We present a novel method for simulating the noisy behaviour of quantum computers, which allows to efficiently incorporate environmental effects in the driven evolution implementing the gates acting on the qubits. We show how to modify the noiseless gate executed by the computer to include any Markovian noise, hence resulting in what we will call a noisy gate. We compare our method with the IBM Qiskit simulator, and show that it follows more closely both the analytical solution of the Lindblad equation as well as the behaviour of a real quantum computer, where we ran algorithms involving up to 18 qubits; as such, our protocol offers a more accurate simulator for NISQ devices. The method is flexible enough to potentially describe any noise, including non-Markovian ones. The noise simulator based on this work is available as a python package at this link: https://pypi.org/project/quantum-gates.

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• Benchmarking Quantum Computer Simulation Software Packages: State Vector Simulators
• Efficient quantum algorithm to simulate open systems through a single environmental qubit
• Simulating photonic devices with noisy optical elements
• Temporally correlated quantum noise in driven quantum systems
• Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings
• Quantum density estimation with density matrices: Application to quantum anomaly detection
• Qubit fidelity under stochastic Schrödinger equations driven by colored noise
• Machine learning of quantum channels on NISQ devices
• A Computational Framework for Simulations of Dissipative Non-Adiabatic Dynamics on Hybrid Oscillator-Qubit Quantum Devices
• Decoherence in Exchange-Coupled Quantum Spin Qubit Systems: Impact of Multiqubit Interactions and Geometric Connectivity
• Analog simulation of noisy quantum circuits
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Estimates of loss function concentration in noisy parametrized quantum circuits
• Fidelity Relations in an Array of Neutral Atom Qubits -- Experimental Validation of Control Noise
• Quantum circuit evolutionary framework applied on set partitioning problem