Optimal control of quantum gates in an exactly solvable non-Markovian open quantum bit system

Abstract

We apply quantum optimal control theory (QOCT) to an exactly solvable non-Markovian open quantum bit (qubit) system to achieve state-independent quantum control and construct high-fidelity quantum gates for moderate qubit decaying parameters. An important quantity, improvement $\mathcal{I}$, is proposed and defined to quantify the correction of gate errors due to the QOCT iteration when the environment effects are taken into account. With the help of the exact dynamics, we explore how the gate error is corrected in the open qubit system and determine the conditions for significant improvement. The model adopted in this paper can be implemented experimentally in realistic systems such as the circuit QED system.

arXiv comment7 pages, 4 figures

References in corpus (42)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum state engineering with Josephson-junction devices
• Control of quantum phenomena: Past, present, and future
• Non-Markovian Quantum State Diffusion
• Open system dynamics with non-Markovian quantum trajectories
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Stochastic wave function method for non-Markovian quantum master equations
• Non-Markovian quantum jumps
• Optimal control theory for unitary transformations
• The non-Markovian stochastic Schrodinger equation for open systems
• A non-Markovian decoherence theory for double dot charge qubit
• Optimal Dynamical Decoherence Control of a Qubit
• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• Optimal control of a qubit coupled to a non-Markovian environment
• Pseudomodes as an effective description of memory: Non-Markovian dynamics of two-state systems in structured reservoirs
• Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
• Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments
• Robust optimal quantum gates for Josephson charge qubits
• The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
• Optimal Control of Coupled Josephson Qubits
• Local observation of antibunching in a trapped Fermi gas
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Analog control of open quantum systems under arbitrary decoherence
• Decoherent Histories and Quantum State Diffusion
• Circuit QED and engineering charge based superconducting qubits
• Non-Markovian dynamics of a damped driven two-state system
• High fidelity measurement and quantum feedback control in circuit QED
• Optimal control for non-Markovian open quantum systems
• Non-Markovian dissipative dynamics of two coupled qubits in independent reservoirs: a comparison between exact solutions and master equation approaches
• Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model
• Non-Markovian finite-temperature two-time correlation functions of system operators: beyond the quantum regression theorem
• Decoherence-free subspace and disentanglement dynamics for two qubits in a common non-Markovian squeezed reservoir
• Non-Markovian dynamics of interacting qubit pair coupled to two independent bosonic baths
• Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control
• Non-Perturbative Quantum Dynamical Decoupling
• Inverse Engineering Control in Open Quantum Systems
• Non-Markovian dynamics of a nanomechanical resonator measured by a quantum point contact
• Optimal control of the silicon-based donor electron spin quantum computing
• Time-optimal performance of Josephson charge qubits: A process tomography approach
• Non-Markovian master equation for a damped driven two-state system

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• Applications of the Fokker-Planck equation in circuit quantum electrodynamics
• Optimal control and selectivity of qubits in contact with a structured environment
• The problem of coherent control in non-Markovian open quantum systems
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• Efficient optimization of state preparation in quantum networks using quantum trajectories
• Stochastic learning control of adiabatic speedup in a non-Markovian open qutrit system
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• Basic mechanisms in the laser control of non-Markovian dynamics
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