Decoherence predictions in a superconductive quantum device using the steepest-entropy-ascent quantum thermodynamics framework

Abstract

The current stage of quantum computing technology, called noisy intermediate-scale quantum (NISQ) technology, is characterized by large errors that prohibit it from being used for real applications. In these devices, decoherence, one of the main sources of error, is generally modeled by Markovian master equations such as the Lindblad master equation. In this work, the decoherence phenomena are addressed from the perspective of the steepest-entropy-ascent quantum thermodynamics (SEAQT) framework in which the noise is in part seen as internal to the system. The framework is as well used to describe changes in the energy associated with environmental interactions. Three scenarios, an inversion recovery experiment, a Ramsey experiment, and a two-qubit entanglement-disentanglement experiment, are used to demonstrate the applicability of this framework, which provides good results relative to the experiments and the Lindblad equation, It does so, however, from a different perspective as to the cause of the decoherence. These experiments are conducted on the IBM superconductive quantum device ibmq_bogota.

arXiv comment11 pages, 8 figures

References in corpus (37)

• Quantum Computing in the NISQ era and beyond
• Decoherence Free Subspaces for Quantum Computation
• Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
• Extending the computational reach of a noisy superconducting quantum processor
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Noise-Induced Barren Plateaus in Variational Quantum Algorithms
• Preparation of Entangled States by Quantum Markov Processes
• Efficient Z-Gates for Quantum Computing
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Quantum speed limits in open system dynamics
• Quantum Decoherence
• Procedure for systematically tuning up crosstalk in the cross resonance gate
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• Decoherence benchmarking of superconducting qubits
• Maximum Likelihood, Minimum Effort
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• Effective Hamiltonian models of the cross-resonance gate
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Reducing unitary and spectator errors in cross resonance with optimized rotary echoes
• Error Mitigation by Symmetry Verification on a Variational Quantum Eigensolver
• Continuous measurements, quantum trajectories, and decoherent histories
• Efficient classical simulation of noisy random quantum circuits in one dimension
• Nonperturbative master equation solution of central spin dephasing dynamics
• Mitigating realistic noise in practical noisy intermediate-scale quantum devices
• A nonlinear model dynamics for closed-system, constrained, maximal-entropy-generation relaxation by energy redistribution
• Steepest Entropy Ascent Model for Far-Non-Equilibrium Thermodynamics. Unified Implementation of the Maximum Entropy Production Principle
• Nonlinear Quantum Evolution Equations to Model Irreversible Adiabatic Relaxation with Maximal Entropy Production and Other Nonunitary Processes
• Essential equivalence of the GENERIC and Steepest Entropy Ascent models of dissipation for non-equilibrium thermodynamics
• Modeling Noisy Quantum Circuits Using Experimental Characterization
• Optimal generation of Fock states in a weakly nonlinear oscillator
• Kinetic Pathways of Phase Decomposition Using Steepest-Entropy-Ascent Quantum Thermodynamics Modeling. Part I: Continuous and Discontinuous Transformations
• Rotational Alignment Decay and Decoherence of Molecular Superrotors
• Loss-of-entanglement prediction of a controlled-PHASE gate in the framework of steepest-entropy-ascent quantum thermodynamics
• Steepest-Entropy-Ascent Quantum Thermodynamics Models in Materials Science
• A Method for Predicting Nonequilibrium Thermal Expansion Using Steepest-Entropy-Ascent Quantum Thermodynamics
• Fermi's golden rule and the second law of thermodynamics
• Low-temperature Atomistic Spin Relaxation and Non-equilibrium Intensive Properties Using Steepest-Entropy-Ascent Quantum-Inspired Thermodynamics Modeling

Cited by in corpus (3)

• Predicting Polymer Brush Behavior in Solvents using the Steepest-Entropy-Ascent Quantum Thermodynamic Framework
• No-Signaling in Steepest Entropy Ascent: A Nonlinear Non-local Non-equilibrium Quantum Dynamics of Composite Systems
• Dissipation in fermionic two-body continuous-time quantum walk under the steepest entropy ascent formalism