Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent and Incoherent Controls and Stochastic Optimization

Abstract

In this work, we consider a general form of the dynamics of open quantum systems determined by the Gorini-Kossakowsky-Sudarchhan-Lindblad type master equation with simultaneous coherent and incoherent controls with three particular forms of the two-qubit Hamiltonians. Coherent control enters in the Hamiltonian and incoherent control enters in both the Hamiltonian and the superoperator of dissipation. For these systems, we analyze the control problems of generating two-qubit C-NOT, SWAP, and C-Z gates using with piecewise constant controls and stochastic optimization in the form of an adapted version of the dual annealing algorithm. In the numerical experiment, we analyze the minimal infidelity obtained by the dual annealing for various values of strength of the interaction between the system and the environment.

16 pages, 5 figures, 1 table

References in corpus (16)

• Quantum speed limit for physical processes
• Modeling and Control of Quantum Systems: An Introduction
• Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
• Tutorial: Gate-based superconducting quantum computing
• One decade of quantum optimal control in the chopped random basis
• Teaching the Environment to Control Quantum Systems
• Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes
• Engineering arbitrary pure and mixed quantum states
• Hamilton-Jacobi-Bellman equations for Quantum Filtering and Control
• GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
• Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls
• Quantum Control in Open and Periodically Driven Systems
• Energy control in a quantum oscillator using coherent control and engineered environment
• Optimal quantum control via genetic algorithms for quantum state engineering in driven-resonator mediated networks
• Quantum control landscape for generation of $H$ and $T$ gates in an open qubit with both coherent and environmental drive
• Krotov Type Optimization of Coherent and Incoherent Controls for Open Two-Qubit Systems