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Using the Magnus expansion to the fourth order, we obtain analytic expressions for the atomic state of a two-level system driven by a laser pulse of arbitrary shape with small pulse area. We also determine the limitation of our obtained…

Composite pulses are an efficient tool for robust quantum control. In this work, we derive the form of the composite pulse sequence to implement robust single-qubit gates in a three-level system, where two low-energy levels act as a qubit.…

Quantum Physics · Physics 2021-05-27 Zhi-Cheng Shi , Hai-Ning Wu , Li-Tuo Shen , Yan Xia , X. X. Yi , Shi-Biao Zheng

Two recent developments in quantum control, concatenation and optimization of pulse intervals, are combined to yield a strategy to suppress unwanted couplings in quantum systems to high order. Longitudinal relaxation and transverse…

Quantum Physics · Physics 2009-04-09 Götz S. Uhrig

The possibility of production of pulses with scale-invariant properties at presence of fluctuations of parameters of self-oscillatory system with three-dimensional phase space is shown. The system of equations of inertial nonlinearity…

Chaotic Dynamics · Physics 2007-05-23 Z. Zh. Zhanabayev , N. Y. Almasbekov , Y. Zh. Baibolatov , A. T. Yeldesbay

The proposal for quantum computing with rare-earth-ion qubits in inorganic crystals makes use of the inhomogeneous broadening of optical transitions in the ions to associate individual qubits with ions responding to radiation in selected…

Quantum Physics · Physics 2009-11-10 Ingela Roos , Klaus Molmer

In this work, we develop a supervised learning model for implementing robust quantum control in composite-pulse systems, where the training parameters can be either phases, detunings, or Rabi frequencies. This model exhibits great…

Quantum Physics · Physics 2024-04-09 Zhi-Cheng Shi , Jun-Tong Ding , Ye-Hong Chen , Jie Song , Yan Xia , X. X. Yi , Franco Nori

We apply reverse-engineering to find electromagnetic pulses that allow for the control of populations in quantum systems under dephasing and thermal noises. In particular, we discuss two-level systems given their importance in the…

Quantum Physics · Physics 2019-07-10 I. Medina , F. L. Semião

High-precision, robust quantum gates are essential components in quantum computation and information processing. In this study, we present an alternative perspective, exploring the potential applicability of quantum gates that exhibit…

Quantum Physics · Physics 2024-12-10 Hayk L. Gevorgyan

Dynamical decoupling is a coherent control technique where the intrinsic and extrinsic couplings of a quantum system are effectively averaged out by application of specially designed driving fields (refocusing pulse sequences). This entails…

Quantum Physics · Physics 2009-11-13 Leonid P. Pryadko , Gregory Quiroz

Composite pulses have found widespread use in both conventional Nuclear Magnetic Resonance experiments and in experimental quantum information processing to reduce the effects of systematic errors. Here we describe several families of time…

Quantum Physics · Physics 2013-03-25 Sami Husain , Minaru Kawamura , Jonathan A. Jones

We propose a method to design pulses in a resonant three-level system to enhance the robustness of non-adiabatic geometric gate operations. By optimizing the shape of the pulse envelope, we show that the gate operations are more robust…

Quantum Physics · Physics 2019-03-27 Ying Yan , Jie Lu , Lin Wan , Joel Moser

Optical techniques for the quantum control of the dynamics of multiexciton states in a semiconductor quantum dot are explored in theory. Composite bichromatic phase-locked pulses are shown to reduce the time of elementary quantum operations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. Piermarocchi , Pochung Chen , Y. S. Dale , L. J. Sham

Optimal control techniques provide a means to tailor the control pulses required to generate customized quantum gates, which helps to improve the resilience of quantum simulations to gate errors and device noise. However, the significant…

We develop a systematic approach to derive narrowband (NB) and passband (PB) composite sequences which can produce any pre-selected transition probability with any desired accuracy. The NB composite pulses are derived by successive…

Quantum Physics · Physics 2020-07-15 Boyan T. Torosov , Svetoslav S. Ivanov , Nikolay V. Vitanov

A frequently encountered source of systematic error in quantum computations is imperfections in the control pulses which are the classical fields that control qubit gate operations. From an analysis of the quantum mechanical time-evolution…

Quantum Physics · Physics 2021-05-14 Qile David Su

We design realizable time-dependent semiclassical pulses to invert the population of a two-level system faster than adiabatically when the rotating-wave approximation cannot be applied. Different approaches, based on the counterdiabatic…

Quantum Physics · Physics 2016-01-06 S. Ibáñez , Yi-Chao Li , Xi Chen , J. G. Muga

A scheme for fine tuning of quantum operations to improve their performance is proposed. A quantum system in $\Lambda$ configuration with two-photon Raman transitions is considered without adiabatic elimination of the excited (intermediate)…

Quantum Physics · Physics 2008-03-10 Grzegorz Chimczak , Ryszard Tanaś

Response functions of resonant circuits create ringing artefacts if their input changes rapidly. When physical limits of electromagnetic spectroscopies are explored, this creates two types of problems. Firstly, simulation: the system must…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Uluk Rasulov , Anupama Acharya , Marina Carravetta , Guinevere Mathies , Ilya Kuprov

High-fidelity control of superconducting qubits requires carefully shaped microwave pulses that account for multiple error channels. In this work, we present a pedagogical introduction to pulse-shaping techniques for transmon qubits, aiming…

Quantum Physics · Physics 2026-04-24 Animesh Patra , Ankur Raina

Composite pulse sequences, which produce arbitrary pre-defined rotations of a two-state system at an angle $\theta$ on the Bloch sphere, are presented. The composite sequences can contain arbitrarily many pulses and can compensate…

Quantum Physics · Physics 2019-01-09 Boyan T. Torosov , Nikolay V. Vitanov