Pulse design without the rotating-wave approximation

Ibáñez, Sergio; Li, Yichao; Chen, Xi; Muga, J. G.

doi:10.1103/physreva.92.062136

Cited by 38 publications

(25 citation statements)

References 32 publications

(86 reference statements)

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“…(16) to remedy this problem and achieve a fast full decay. Here, the coherent controls in the HamiltoniansH 0 (t) and H 0 (t) are chosen to be the Allen-Eberly (AE) drivings [61], i.e.,…”

Section: Transitionless Driving Applied To a Decaying Two-level Atom mentioning

confidence: 99%

Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation

Shen

2017

Opt. Express

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Abstract:The technique of shortcuts to adiabaticity (STA) has attracted broad attention due to their possible applications in quantum information processing and quantum control. However, most studies published so far have been only focused on Hermitian systems under the rotating-wave approximation (RWA). In this paper, we propose a modified shortcuts to adiabaticity technique to realize population transfer for a non-Hermitian system without RWA. We work out an exact expression for the control function and present examples consisting of two-and three-level systems with decay to show the theory. The results suggest that the shortcuts to adiabaticity technique presented here is robust for fast passages. We also find that the decay has small effect on the population transfer in the three-level system. To shed more light on the physics behind this result, we reduce the quantum three-level system to an effective two-level one with large detunings. The shortcuts to adiabaticity technique of effective two-level system is studied. Thereby the high-fidelity population transfer can be implemented in non-Hermitian systems by our method, and it works even without RWA.

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“…(16) to remedy this problem and achieve a fast full decay. Here, the coherent controls in the HamiltoniansH 0 (t) and H 0 (t) are chosen to be the Allen-Eberly (AE) drivings [61], i.e.,…”

Section: Transitionless Driving Applied To a Decaying Two-level Atom mentioning

confidence: 99%

Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation

Shen

2017

Opt. Express

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“…By designing nonadiabatic unitary evolution, a lot of protocols have been proposed for realizing the nonadiabatic holonomic quantum computation, which have shown good robustness against decoherence. Moreover, many novel methods and techniques for precisely designing and controlling the dynamics of system, such as shortcuts to adiabaticity, optimal control theory, inverse Hamiltonian engineering, and their combinations, have been exploited in obtaining holonomy, which make the performance of the quantum gates further improved. For example, Liu et al .…”

Section: Introductionmentioning

confidence: 99%

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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“…Until now, several methods have been proposed to overcome the difficulties of TQD. For example, Ibáñez et al .…”

Section: Introductionmentioning

confidence: 99%

“…In 2016, we have also presented an alternative method to improve TQD by designing evolution operators to reversely construct control Hamiltonians. These methods are all very interesting, and possess their own novel features. As they are based on different viewpoints, different control Hamiltonians could be constructed with different methods, while the same final outcome could be obtained.…”

Section: Introductionmentioning

confidence: 99%

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Fast and Robust Quantum Information Transfer in Annular and Radial Superconducting Networks

et al. 2017

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In this paper, we propose a protocol to achieve fast and robustness quantum information transfer (QIT) in annular and radial superconducting networks, where each quantum node is composed of a superconducting quantum interference device (SQUID) inside a coplanar waveguide resonator (CPWR). The process is based on reversely constructing time-dependent control Hamiltonian by designing evolution operator. With the protocol, the maximal population of lossy intermediate states and the amplitudes of pulses can be easily controlled by two corresponding control parameters. Therefore, one can design feasible pulses for QIT with great flexibility. Besides, the speed of the QIT here is much faster compared with that with adiabatic QIT. Moreover, numerical simulations show that the protocol still possesses high fidelity when lossy factors and imperfect operations are taken into account. Therefore, the protocol may provide a useful way to manipulate quantum information networks. IntroductionRealization of quantum information transfer (QIT) between arbitrary remote nodes in a quantum network is one of key elements in the field of quantum information processing (QIP). In the past decade, many QIT protocols have been proposed by means of different techniques, such as the resonant π pulse technique [1,2] and adiabatic passage. [3][4][5][6][7] The resonant π pulse technique [1,2] can be used to transfer quantum information quickly, but it is highly sensitive to the errors of pulse areas. On the other hand, the adiabatic passage [3][4][5][6][7] is insensitive to the influence of imperfect operations, but requires a relatively long interaction time of QIT to meet the adiabatic condition. As a result, the impact of loss and noise would be accumulated, and the intended dynamics may be badly spoiled. Therefore, it raises the requirement of

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Pulse design without the rotating-wave approximation

Cited by 38 publications

References 32 publications

Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation

Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation

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

Fast and Robust Quantum Information Transfer in Annular and Radial Superconducting Networks

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