Robust not gate by single-shot-shaped pulses: Demonstration of the efficiency of the pulses in rephasing atomic coherences

Van-Damme, Leo; Schraft, Daniel; Genov, Genko T.; Sugny, Dominique; Halfmann, Thomas; Guérin, S.

doi:10.1103/physreva.96.022309

Cited by 65 publications

(57 citation statements)

References 40 publications

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“…A first strategy is to apply the counterdiabatic STA technique directly to this Λsystem to speed up the STIRAP transfer. This strategy leads to an additional coupling between the two levels |1 and |3 (Chen et al, 2010a;Demirplak and Rice, 2003;Unanyan et al, 1997). The improved robustness of STA schemes compared with different STIRAP protocols was shown in Giannelli and Arimondo (2014), and the effect of decay and dephasing was studied in Issoufa and Messikh (2014), who observed that the latter has more effect on the final fidelity than the former.…”

Section: Three-level Systemsmentioning

confidence: 96%

“…The development of STA methods and applications has been quite rapid since Chen et al (2010b), where the expression "shortcuts to adiabaticity" was coined. Precedents before 2010 exist where STA concepts had been applied (Couvert et al, 2008;Emmanouilidou et al, 2000;Masuda and Nakamura, 2010;Motzoi et al, 2009;Muga et al, 2009;Rezek et al, 2009;Salamon et al, 2009;Schmiedl et al, 2009;Unanyan et al, 1997). In the post-2010 period, the early work of Demirplak and Rice (Demirplak and Rice, 2003, 2008, and Berry (2009) on "counterdiabatic (CD) driving" has been particularly influential, as well as methodologies such as "inverse engineering", "invariants", "scaling laws", "fastforward", or "local adiabatic" methods.…”

Section: B About This Reviewmentioning

confidence: 99%

“…An illustrative analogy is a flat, horizontal road turn (the reference) that is modified by inclining the roadway surface about its longitudinal axis with a bank angle so that the vehicles can go faster without sliding off the road. After some precedents (Emmanouilidou et al, 2000;Unanyan et al, 1997), the counterdiabatic (CD) driving paradigm was worked out and developed systematically by Demirplak and Rice (Demirplak and Rice, 2003, 2008 for internal state transfer using control fields, then rediscovered in a different but equivalent way as "Transitionless Tracking" by Berry (Berry, 2009), and used to design many control schemes after Chen et al (2010a), unaware of the work of Demirplak and Rice, employed Berry's method to control two-and three-level systems.…”

Section: B Counterdiabatic Drivingmentioning

confidence: 99%

“…In addition, the absolute systematic error in the detuning was examined. The results of Daems et al (2013) for population inversion have been used experimentally to rephase atomic coherences in a Pr 3+ :Y 2 SiO 5 crystal ( Van-Damme et al, 2017) and also applied to create a superposition states with a controlled relative phase in a two-level system (Ndong et al, 2015). superconducting circuits) are easier to manipulate than relativistic particles.…”

Section: Fig 7 (Color Online)mentioning

confidence: 99%

“…Building on the work in Sarandy and Lidar (2005), the concept of a CD driving was generalized to open systems by working out the additional term to be superimposed to the Hamiltonian to guarantee an independent evolution of the different Jordan blocks of the Lindblad operator (Vacanti et al, 2014). While this additional driving is unitary in some cases, in general it does not even provide a completely positive map.…”

Section: B Engineering the Environmentmentioning

confidence: 99%

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Shortcuts to adiabaticity: Concepts, methods, and applications

et al. 2019

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Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes of the controlling parameters of a system. The shortcuts are designed by a set of analytical and numerical methods suitable for different systems and conditions. A motivation to apply STA methods to quantum systems is to manipulate them on timescales shorter than decoherence times. Thus shortcuts to adiabaticity have become instrumental in preparing and driving internal and motional states in atomic, molecular, and solid-state physics. Applications range from information transfer and processing based on gates or analog paradigms, to interferometry and metrology. The multiplicity of STA paths for the controlling parameters may be used to enhance robustness versus noise and perturbations, or to optimize relevant variables. Since adiabaticity is a widespread phenomenon, STA methods also extended beyond the quantum world, to optical devices, classical mechanical systems, and statistical physics. Shortcuts to adiabaticity combine well with other concepts and techniques, in particular with optimal control theory, and pose fundamental scientific and engineering questions such as finding speed limits, quantifying the third law, or determining process energy costs and efficiencies. We review concepts, methods and applications of shortcuts to adiabaticity and outline promising prospects, as well as open questions and challenges ahead.

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Section: Three-level Systemsmentioning

confidence: 96%

Section: B About This Reviewmentioning

confidence: 99%

Section: B Counterdiabatic Drivingmentioning

confidence: 99%

Section: Fig 7 (Color Online)mentioning

confidence: 99%

Section: B Engineering the Environmentmentioning

confidence: 99%

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Shortcuts to adiabaticity: Concepts, methods, and applications

et al. 2019

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One‐Step Implementation of N‐Qubit Nonadiabatic Holonomic Quantum Gates with Superconducting Qubits via Inverse Hamiltonian Engineering

et al. 2019

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A protocol is proposed to realize one-step implementation of the N-qubit nonadiabatic holonomic quantum gates with superconducting qubits. The inverse Hamiltonian engineering is applied in designing microwave pulses to drive superconducting qubits. By combining curve fitting, the wave shapes of the designed pulses can be described by simple functions, which are not hard to realize in experiments. To demonstrate the effectiveness of the protocol, a three-qubit holonomic controlled π -phase gate is taken as an example in numerical simulations. The results show that the protocol holds robustness against noise and decoherence. Therefore, the protocol may provide an alternative approach for implementing N-qubit nonadiabatic holonomic quantum gates.The devices for implementing N-qubit nonadiabatic holonomic quantum gates are shown in Figure 1a. As shown in Figure 1a, the devices are composed of N + 2 superconducting qubits (0, 1, 2, . . . , N − 1, N A , N B ) and N + 1 1D coplanar waveguide resonators (CPWR 0 , CPWR 1 , CPWR 2 , . . . ,CPWR N ). The level configuration of superconducting qubit 0 is shown in

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Multiple‐Qubit C_kU^m Logic Gates of Rydberg Atoms via Optimized Geometric Quantum Operations

Guo

et al. 2022

Annalen der Physik

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Multiple-qubit logic gates, as an essential part of quantum logic gates, have wide practical application in quantum computation. Here, a scheme to directly construct a multiple-qubit logic gate C k U m , in which k control atoms apply an universal operation U on each of m target qubits in the Rydberg atom system is proposed. The scheme, based on Rydberg blockade and geometric quantum operations as well as optimized control theory, can greatly reduce the qubit number and the operation steps, improving the speed and robustness of the gating compared to the conventional multiple-qubit gates consisting of single-and two-qubit gates. Taking the C 2 U 2 gate as an example, the performance of the proposal is numerically evaluated in terms of the fidelity of the quantum gate as well as the robustness against the static systematic errors and spontaneous emission. This work may provide a significative reference for constructing universal multiple-qubit logic gates in future Rydberg atom experiments.

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Robust not gate by single-shot-shaped pulses: Demonstration of the efficiency of the pulses in rephasing atomic coherences

Cited by 65 publications

References 40 publications

Shortcuts to adiabaticity: Concepts, methods, and applications

Shortcuts to adiabaticity: Concepts, methods, and applications

One‐Step Implementation of N‐Qubit Nonadiabatic Holonomic Quantum Gates with Superconducting Qubits via Inverse Hamiltonian Engineering

Multiple‐Qubit C_kU^m Logic Gates of Rydberg Atoms via Optimized Geometric Quantum Operations

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Robust not gate by single-shot-shaped pulses: Demonstration of the efficiency of the pulses in rephasing atomic coherences

Cited by 65 publications

References 40 publications

Shortcuts to adiabaticity: Concepts, methods, and applications

Shortcuts to adiabaticity: Concepts, methods, and applications

One‐Step Implementation of N‐Qubit Nonadiabatic Holonomic Quantum Gates with Superconducting Qubits via Inverse Hamiltonian Engineering

Multiple‐Qubit CkUm Logic Gates of Rydberg Atoms via Optimized Geometric Quantum Operations

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Product

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Multiple‐Qubit C_kU^m Logic Gates of Rydberg Atoms via Optimized Geometric Quantum Operations