Near-Optimal Dynamical Decoupling of a Qubit

West, Jacob; Fong, Bryan H.; Lidar, Daniel A.

doi:10.1103/physrevlett.104.130501

Cited by 101 publications

(158 citation statements)

References 27 publications

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“…The pioneering strategies for decoupling were introduced in the context of NMR spectroscopy [31]. Since then, many different decoupling sequences have been developed in the context of NMR [32,33,35,36] or QIP [44,46,47,50,53,54,81,97,98].…”

Section: Discussionmentioning

confidence: 99%

“…This reduction comes at the expense of an extension of the cycle time by a factor of four. If the delays between the pulses are allowed to be non-equidistant like in UDD, it becomes possible to create hybrid sequences, such as CUDD [50] and QDD [53,97,98].…”

Section: (C) Dynamical Decoupling Sequences With Multiple Rotation Axesmentioning

confidence: 99%

“…The method is known as dynamical decoupling (DD). Since its initial introduction [44], a lot of effort has been invested to find sequences with improved error suppression [45][46][47][48][49][50][51][52][53][54]. The optimal design of DD sequences depends on the different sources of errors.…”

Section: Introductionmentioning

confidence: 99%

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Robust dynamical decoupling

Souza

Álvarez

Suter

2012

Phil. Trans. R. Soc. A.

187

194

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Quantum computers, which process information encoded in quantum mechanical systems, hold the potential to solve some of the hardest computational problems. A substantial obstacle for the further development of quantum computers is the fact that the lifetime of quantum information is usually too short to allow practical computation. A promising method for increasing the lifetime, known as dynamical decoupling (DD), consists of applying a periodic series of inversion pulses to the quantum bits. In the present review, we give an overview of this technique and compare different pulse sequences proposed earlier. We show that pulse imperfections, which are always present in experimental implementations, limit the performance of DD. The loss of coherence due to the accumulation of pulse errors can even exceed the perturbation from the environment. This effect can be largely eliminated by a judicious design of pulses and sequences. The corresponding sequences are largely immune to pulse imperfections and provide an increase of the coherence time of the system by several orders of magnitude.

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Section: Discussionmentioning

confidence: 99%

Section: (C) Dynamical Decoupling Sequences With Multiple Rotation Axesmentioning

confidence: 99%

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Robust dynamical decoupling

Souza

Álvarez

Suter

2012

Phil. Trans. R. Soc. A.

187

194

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“…II. And H c2 is the inner layer UDD sequence of Q pulses which would be applied at the time points [18]:…”

Section: Modified Qsd Equation For Dissipative Noisementioning

confidence: 99%

“…Furthermore, Ref. [18] constructed two layers of nesting UDD that can protect a single qubit against both dephasing and relaxation. In addition, the multi-layer nesting UDD and continuous DD schemes are designed to not only preserve quantum coherence and the entanglement of two-qubit systems [19][20][21][22][23], but also to protect multi-qubit systems [24] and quantum gates [25].…”

Section: Introductionmentioning

confidence: 99%

Uhrig dynamical control of a three-level system via non-Markovian quantum state diffusion

Shu

Zhao

Jing

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

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In this paper, we use the quantum state diffusion (QSD) equation to implement the Uhrig dynamical decoupling (UDD) to a three-level quantum system coupled to a non-Markovian reservoir comprising of infinite numbers of degrees of freedom. For this purpose, we first reformulate the nonMarkovian QSD to incorporate the effect of the external control fields. With this stochastic QSD approach, we demonstrate that an unknown state of the three-level quantum system can be universally protected against both colored phase and amplitude noises when the control-pulse sequences and control operators are properly designed. The advantage of using non-Markovian quantum state diffusion equations is that the control dynamics of open quantum systems can be treated exactly without using Trotter product formula and be efficiently simulated even when the environment comprise of infinite numbers of degrees of freedom. We also show how the control efficacy depends on the environment memory time and the designed time points of applied control pulses.

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Dynamic Decoupling Quantum Control Methods

Cong

2014

Control of Quantum Systems

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Since the birth of quantum mechanics in the twentieth century, it has achieved great success in many ways as a fundamental theory of natural sciences. With the development of science, the combination of quantum mechanics, classical information theory, and computing technology led to the emergence of quantum information theory and quantum theory of computation. A series of topics based on quantum information technology have been proposed, and the realization of quantum computers (Feynman, 1982) is one of the important research areas. Coherence and entanglement are essential for quantum computation and quantum information processing, but decoherence destroys the coherence of the quantum superposition states in the process of evolution and results in the reduction or even the erosion of the entanglement between subsystems. In order to maintain quantum coherence, quantum error-correcting codes a dynamic coupling scheme (Viola and Lloyd, 1998) (originally known as quantum bang-bang (BB) control) were proposed. Quantum error-correcting codes and quantum error-avoiding codes need to introduce a lot of redundant information, and also add a certain symmetry assumptions between the system and the environment. Compared with these two methods, BB control does not require the introduction of redundant qubits. The BB control scheme makes use of coherent averaging effects (Haeberlen and Waugh, 1968) and uses twin-born tailored powerful pulses to average out the effect of the unwanted Hamiltonian. After the quantum dynamical decoupling scheme was proposed by Viola and Lloyd in 1998, it was used to suppress the decoherence for one qubit. In recent years, the BB control schemes for phase decoherence in thê-, V-, and Ξ-configurations in three-level atoms have been studied (Liu et al., 2005a,b), and the BB control scheme for amplitude decoherence was designed by Cao, Liu, and Bai (2008). The BB control scheme to suppress phase decoherence in a four-level atom system in the Ξ-configuration is discussed in

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Near-Optimal Dynamical Decoupling of a Qubit

Cited by 101 publications

References 27 publications

Robust dynamical decoupling

Robust dynamical decoupling

Uhrig dynamical control of a three-level system via non-Markovian quantum state diffusion

Dynamic Decoupling Quantum Control Methods

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