Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Robust control of decoherence in realistic quantum gates

V. Protopopescu, R. Peréz, Cassius D'Helon, J. Schmulen

Published Feb 25, 2002• 1 citation
OpenAlex

Abstract

We present an open loop (bang-bang) scheme to control decoherence in a quantum NOT gate and implement it in a realistic simulation. The system is consistently described within the spin-boson model, with interactions accounting for both adiabatic and thermal decoherence. The external control is included from the beginning in the Hamiltonian as an independent interaction term. After tracing out the environment modes, reduced equations are obtained for the two-level system in which the effects of both decoherence and external control appear explicitly. The controls are determined exactly from the condition to eliminate decoherence, i.e. to restore unitarity. Numerical simulations show excellent performance and robustness of the proposed control scheme.

Related papers

Robust control of decoherence in realistic one-qubit quantum gates

V. Protopopescu, R Perez, C D Helon +1 more

We present an open-loop (bang-bang) scheme to control decoherence in a generic one-qubit quantum gate and implement it in a realistic simulation. The system is consistently described within the spin-boson model, with interactions accounting for both adiabatic and thermal decoherence. The external control is included from the beginning in the Hamiltonian as an independent interaction term. After tracing out the environment modes, reduced equations are obtained for the two-level system in which the effects of both decoherence and external control appear explicitly. The controls are determined exactly from the condition to eliminate decoherence, i.e. to restore unitarity. Numerical simulations show excellent performance and robustness of the proposed control scheme.

arXiv:quant-ph/0202141•Journal of Physics A Mathematical and General•Feb 12, 2003•21 citations

Targeting qubit states using open-loop control

C D Helon, V. Protopopescu, R Perez

We present an open-loop (bang–bang) scheme which drives an open two-level quantum system to any target state, while maintaining quantum coherence throughout the process. The control is illustrated by a realistic simulation for both adiabatic and thermal decoherence. In the thermal decoherence regime, the control achieved by the proposed scheme is qualitatively similar, at the ensemble level, to the control realized by the quantum feedback scheme of Wang, Wiseman and Milburn (2001 Phys. Rev. A 64 063810) for the spontaneous emission of a two-level atom. The performance of the open-loop scheme compares favourably against the quantum feedback scheme with respect to robustness, target fidelity and transition times.

arXiv:quant-ph/0301006•Journal of Physics A Mathematical and General•Jun 11, 2003•2 citations

Robust control of realistic quantum gates

V. Protopopescu, Rafael Bello

We consider a generic NOT gate in contact with the environment and design and implement a control scheme to eliminate decoherence. Simulations show efficiency and robustness under a broad range of realistic conditions.

Optical Fiber Communication Conference•Jun 13, 2001•0 citations

Bang-Bang Control of Entanglement in Spin-Bus–Boson Model

Robabeh Rahimi, Akira SaiToh, Mikio Nakahara

A linear coupling model of a spin system with bosonic modes is a typical model to theoretically evaluate decoherence. In this contribution, we consider a dynamical control of decoherence of entanglement in a spin system consisting of an electron spin and nuclear spins (namely, a spin bus system) coupled with bosons whose modes are in resonance with individual spins. Numerical simulations show that bang-bang pulses with a realistic duty ratio can suppress decoherence considerably in an entangled two-qubit system. Simulation results indicate one phenomenon: a very large, as well as very small, dissipation rate of bosons results in a small decoherence.

Journal of the Physical Society of Japan•Nov 12, 2007•1 citation

Decoherence of Dynamically Manipulated Qubits

Vladimir Privman A, Dmitry Solenov

We summarize our results on decoherence for short-to intermediate-time dynamics of an externally controlled two-state quantum system—a qubit—interacting with thermal bosonic environment. The developed approximation schemes are illustrated for an adiabatic model with time-dependent gate control, and for a model with rotating-wave gate function.

arXiv:quant-ph/0602191•IEEE Conference on Nanotechnology (IEEE NANO)•Jan 1, 2006•1 citation

Control of Open Quantum Systems

Christian

Known as decoherence, the unavoidable interaction of a quantum system with its surrounding environment is usually considered to be detrimental for quantum information processing. In this thesis the coherent, open loop control of such open systems is studied. Concepts from quantum control theory and the theory of open quantum system are adopted in order to fight decoherence and implement quantum gates in a noiseless manner. In particular, Lie algebraic methods and numerical optimization tools are used to investigate the control properties of a single spin interacting with a spin environment. We show that, independent of the size of the environment, every unitary transformation can be implemented on the system spin through a single control field. We proceed by investigating dynamical decoupling, a method to suppress the interactions with the environment, for finite- and for in- finite dimensional systems. We prove that every finite dimensional system can be protected from decoherence, even if the environment is infinite dimensional, whereas for noise described by a Lindblad master equation dynamical decoupling will never succeed. This will lead to a new method to distinguish decoherence from intrinsic noise terms. We further prove that not every infinite dimensional system can be protected from decoherence through dynamical decoupling. Afterwards we investigate dynamical decoupling of systems that are described by quadratic Hamiltonians, showing that such interactions can always be suppressed with two simple operations. In the last part we investigate the coherent control of a Lindblad master equation. We show that a strong noise process exhibiting a decoherence free subspace can substantially increase the number of unitary operations that can be implemented, allowing us to fully control parts of the system. Afterwards we develop a scheme to make Hamiltonians and Lindbladians commutative by adding an auxiliary system. The old, possibly non-commutative dynamics, is recovered through a non-selective measurement.

•Mar 20, 2026•0 citations
We present an open loop (bang-bang) scheme to control decoherence in a quantum NOT gate and implement it in a realistic simulation. The system is consistently described within the spin-boson model, with interactions accounting for both adiabatic and thermal decoherence. The external control is included from the beginning in the Hamiltonian as an independent interaction term. After tracing out the environment modes, reduced equations are obtained for the two-level system in which the effects of both decoherence and external control appear explicitly. The controls are determined exactly from the condition to eliminate decoherence, i.e. to restore unitarity. Numerical simulations show excellent performance and robustness of the proposed control scheme.
We present an open-loop (bang-bang) scheme to control decoherence in a generic one-qubit quantum gate and implement it in a realistic simulation. The system is consistently described within the spin-boson model, with interactions accounting for both adiabatic and thermal decoherence. The external control is included from the beginning in the Hamiltonian as an independent interaction term. After tracing out the environment modes, reduced equations are obtained for the two-level system in which the effects of both decoherence and external control appear explicitly. The controls are determined exactly from the condition to eliminate decoherence, i.e. to restore unitarity. Numerical simulations show excellent performance and robustness of the proposed control scheme.
We present an open-loop (bang–bang) scheme which drives an open two-level quantum system to any target state, while maintaining quantum coherence throughout the process. The control is illustrated by a realistic simulation for both adiabatic and thermal decoherence. In the thermal decoherence regime, the control achieved by the proposed scheme is qualitatively similar, at the ensemble level, to the control realized by the quantum feedback scheme of Wang, Wiseman and Milburn (2001 Phys. Rev. A 64 063810) for the spontaneous emission of a two-level atom. The performance of the open-loop scheme compares favourably against the quantum feedback scheme with respect to robustness, target fidelity and transition times.
A linear coupling model of a spin system with bosonic modes is a typical model to theoretically evaluate decoherence. In this contribution, we consider a dynamical control of decoherence of entanglement in a spin system consisting of an electron spin and nuclear spins (namely, a spin bus system) coupled with bosons whose modes are in resonance with individual spins. Numerical simulations show that bang-bang pulses with a realistic duty ratio can suppress decoherence considerably in an entangled two-qubit system. Simulation results indicate one phenomenon: a very large, as well as very small, dissipation rate of bosons results in a small decoherence.
Known as decoherence, the unavoidable interaction of a quantum system with its surrounding environment is usually considered to be detrimental for quantum information processing. In this thesis the coherent, open loop control of such open systems is studied. Concepts from quantum control theory and the theory of open quantum system are adopted in order to fight decoherence and implement quantum gates in a noiseless manner. In particular, Lie algebraic methods and numerical optimization tools are used to investigate the control properties of a single spin interacting with a spin environment. We show that, independent of the size of the environment, every unitary transformation can be implemented on the system spin through a single control field. We proceed by investigating dynamical decoupling, a method to suppress the interactions with the environment, for finite- and for in- finite dimensional systems. We prove that every finite dimensional system can be protected from decoherence, even if the environment is infinite dimensional, whereas for noise described by a Lindblad master equation dynamical decoupling will never succeed. This will lead to a new method to distinguish decoherence from intrinsic noise terms. We further prove that not every infinite dimensional system can be protected from decoherence through dynamical decoupling. Afterwards we investigate dynamical decoupling of systems that are described by quadratic Hamiltonians, showing that such interactions can always be suppressed with two simple operations. In the last part we investigate the coherent control of a Lindblad master equation. We show that a strong noise process exhibiting a decoherence free subspace can substantially increase the number of unitary operations that can be implemented, allowing us to fully control parts of the system. Afterwards we develop a scheme to make Hamiltonians and Lindbladians commutative by adding an auxiliary system. The old, possibly non-commutative dynamics, is recovered through a non-selective measurement.