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

arXiv:1310.4095 · Journal of Physics A Mathematical and Theoretical

Adiabatic quantum control hampered by entanglement

David Viennot

Published Jul 10, 2014• 2 citations
arXivHTMLPDF

Abstract

We study defects in adiabatic control of a quantum system caused by the entanglement of the system with its environment. Such defects can be assimilated to decoherence processes due to perturbative couplings between the system and the environment. To analyse these effects, we propose a geometric approach based on a field theory on the control manifold issued from the higher gauge theory associated with the $C^*$-geometric phases. We study a visualization method to analyse the defects of adiabatic control based on the drawing of the field strengths of the gauge theory. To illustrate the present methodology we consider the example of the atomic STIRAP (stimulated Raman adiabatic passage) where the controlled atom is entangled with another atom. We study the robustness of the STIRAP effect when the controlled atom is entangled with another one.

DOI
10.1088/1751-8113/47/29/295301

Related papers

Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems

Ditte Møller, Lars Bojer Madsen, Klaus Mølmer

We consider stimulated Raman adiabatic passage (STIRAP) processes in tripod systems and show how to generate purely geometric phase changes of the quantum states involved. The geometric phases are controlled by three laser fields where pulse shapes, relative field strength, and phases can be controlled. We present a robust set of universal gates for quantum computing based on these geometric phases: a one-qubit phase gate, a Hadamard gate, and a two-qubit phase gate.

arXiv:quant-ph/0701240•Physical Review A•Jun 4, 2007•82 citations

Detuning effects in STIRAP processes in the presence of quantum noise

M. Scala, Benedetto Militello, ANTONINO MESSINA +1 more

The Stimulated Raman adiabatic passage (STIRAP) in three-state systems in the presence of quantum noise is considered. A comparison is made between different models, one based on a phenomenological introduction of decays, one traceable back to a microscopic description of the system-environment interaction. Effects related, to off-resonance in the coupling between the involved states are considered.

Optics and Spectroscopy•Oct 1, 2011•13 citations

Improving the stimulated Raman adiabatic passage via dissipative quantum dynamics

Qi-Cheng Wu, Ye-Hong Chen, Bi-Hua Huang +3 more

We propose a method to improve the stimulated Raman adiabatic passage (STIRAP) via dissipative quantum dynamics, taking into account the dephasing effects. Fast and robust population transfer can be obtained with the scheme by the designed pulses and detuning, even though the initial state of the system is imperfect. With a concrete three-level system as an example, the influences of the imperfect initial state, variations in the control parameters, and various dissipation effects are discussed in detail. The numerical simulation shows that the scheme is insensitive to moderate fluctuations of experimental parameters and the relatively large dissipation effects of the excited state. Furthermore, the dominant dissipative factors, namely, the dephasing effects of the ground states and the imperfect initial state are no longer undesirable, in fact, they are the important resources to the scheme. Therefore, the scheme could provide more choices for the realization of the complete population transfer in the strong dissipative fields where the standard stimulated Raman adiabatic passage or shortcut schemes are invalid.

arXiv:1605.07274•Optics Express•Sep 22, 2016•32 citations

Robustness of stimulated Raman adiabatic passage in the dressed-state space

Fangzhou Jin, Jinfeng Wang, Hui Zhou +1 more

Stimulated Raman adiabatic passage (STIRAP) and its superadiabatic variant (sa-STIRAP) are pivotal techniques for high-fidelity quantum state transfer. However, STIRAP is inherently slow, while sa-STIRAP often requires additional, experimentally challenging couplings. Recent progress has shown that implementing these protocols in the dressed-state space can overcome these limitations by modulating the amplitude and phase of native driving fields, thereby enabling efficient population transfer without extra couplings. Nevertheless, the robustness of these dressed-state protocols against decoherence remains unclear. In this work, we investigate the decoherence resilience of both STIRAP and sa-STIRAP within the dressed-state framework. Through numerical simulations, we demonstrate that they exhibit significantly enhanced robustness to environmental noise compared to their standard three-level counterparts. Our results highlight the potential of dressed-state-based protocols for achieving robust, high-fidelity quantum state transfer in noisy environments.

International Journal of Modern Physics B•May 29, 2026•0 citations

Decoherence-induced geometric phase in a multilevel atomic system

Shubhrangshu Dasgupta, Daniel A. Lidar

We consider the STIRAP process in a three-level atom. Viewed as a closed system, no geometric phase is acquired. But in the presence of spontaneous emission and/or collisional relaxation we numerically show that a non-vanishing, purely real, geometric phase is acquired during STIRAP, whose magnitude grows with the decay rates. We speculate that rather than viewing this decoherence-induced geometric phase as a nuisance, it can be considered an example of 'beneficial decoherence': the environment provides a mechanism for the generation of geometric phases which would otherwise require an extra experimental control knob.

arXiv:quant-ph/0612201•Journal of Physics B Atomic Molecular and Optical Physics•Apr 18, 2007•18 citations

Adiabatic geometric phase gate with a quantized control field

Shabnam Siddiqui, Julio R. Gea-Banacloche

We study the performance of an adiabatic geometric phase gate with a quantized driving field numerically and develop an analytical approximation that shows how the qubit becomes entangled with the driving field. This results in a scaling of the gate error probability versus the energy in the control field that has the same form as that found for dynamic, nonadiabatic gates, but with a prefactor that would typically be several orders of magnitude larger, because of the adiabaticity constraint. In the approximation we have used, which should be valid for sufficiently large control fields, the main source of decoherence (and hence error) is the ``which path'' information carried by the photons that would be radiated by the driven qubit.

Physical Review A•Nov 30, 2006•9 citations
We study defects in adiabatic control of a quantum system caused by the entanglement of the system with its environment. Such defects can be assimilated to decoherence processes due to perturbative couplings between the system and the environment. To analyse these effects, we propose a geometric approach based on a field theory on the control manifold issued from the higher gauge theory associated with the C∗C^*C∗-geometric phases. We study a visualization method to analyse the defects of adiabatic control based on the drawing of the field strengths of the gauge theory. To illustrate the present methodology we consider the example of the atomic STIRAP (stimulated Raman adiabatic passage) where the controlled atom is entangled with another atom. We study the robustness of the STIRAP effect when the controlled atom is entangled with another one.
We propose a method to improve the stimulated Raman adiabatic passage (STIRAP) via dissipative quantum dynamics, taking into account the dephasing effects. Fast and robust population transfer can be obtained with the scheme by the designed pulses and detuning, even though the initial state of the system is imperfect. With a concrete three-level system as an example, the influences of the imperfect initial state, variations in the control parameters, and various dissipation effects are discussed in detail. The numerical simulation shows that the scheme is insensitive to moderate fluctuations of experimental parameters and the relatively large dissipation effects of the excited state. Furthermore, the dominant dissipative factors, namely, the dephasing effects of the ground states and the imperfect initial state are no longer undesirable, in fact, they are the important resources to the scheme. Therefore, the scheme could provide more choices for the realization of the complete population transfer in the strong dissipative fields where the standard stimulated Raman adiabatic passage or shortcut schemes are invalid.
Stimulated Raman adiabatic passage (STIRAP) and its superadiabatic variant (sa-STIRAP) are pivotal techniques for high-fidelity quantum state transfer. However, STIRAP is inherently slow, while sa-STIRAP often requires additional, experimentally challenging couplings. Recent progress has shown that implementing these protocols in the dressed-state space can overcome these limitations by modulating the amplitude and phase of native driving fields, thereby enabling efficient population transfer without extra couplings. Nevertheless, the robustness of these dressed-state protocols against decoherence remains unclear. In this work, we investigate the decoherence resilience of both STIRAP and sa-STIRAP within the dressed-state framework. Through numerical simulations, we demonstrate that they exhibit significantly enhanced robustness to environmental noise compared to their standard three-level counterparts. Our results highlight the potential of dressed-state-based protocols for achieving robust, high-fidelity quantum state transfer in noisy environments.
We consider the STIRAP process in a three-level atom. Viewed as a closed system, no geometric phase is acquired. But in the presence of spontaneous emission and/or collisional relaxation we numerically show that a non-vanishing, purely real, geometric phase is acquired during STIRAP, whose magnitude grows with the decay rates. We speculate that rather than viewing this decoherence-induced geometric phase as a nuisance, it can be considered an example of 'beneficial decoherence': the environment provides a mechanism for the generation of geometric phases which would otherwise require an extra experimental control knob.
We study the performance of an adiabatic geometric phase gate with a quantized driving field numerically and develop an analytical approximation that shows how the qubit becomes entangled with the driving field. This results in a scaling of the gate error probability versus the energy in the control field that has the same form as that found for dynamic, nonadiabatic gates, but with a prefactor that would typically be several orders of magnitude larger, because of the adiabaticity constraint. In the approximation we have used, which should be valid for sufficiently large control fields, the main source of decoherence (and hence error) is the ``which path'' information carried by the photons that would be radiated by the driven qubit.