Bath-Optimized Minimal-Energy Protection of Quantum Operations from Decoherence

Clausen, J.; Bensky, Guy; Kurizki, Gershon

doi:10.1103/physrevlett.104.040401

Cited by 104 publications

(169 citation statements)

References 26 publications

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“…Therefore the total normalized time of a QDD sequence with N 1 inner and N 2 outer pulses is given by, (10) so that the total physical time is T (N1,N2) = S (N1,N2) τ .…”

Section: Qdd Protocolmentioning

confidence: 99%

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Quadratic dynamical decoupling with nonuniform error suppression

Quiroz

Lidar

2011

Phys. Rev. A

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We analyze numerically the performance of the near-optimal quadratic dynamical decoupling (QDD) singlequbit decoherence errors suppression method [J. West et al., Phys. Rev. Lett. 104, 130501 (2010)]. The QDD sequence is formed by nesting two optimal Uhrig dynamical decoupling sequences for two orthogonal axes, comprising N1 and N2 pulses, respectively. Varying these numbers, we study the decoherence suppression properties of QDD directly by isolating the errors associated with each system basis operator present in the system-bath interaction Hamiltonian. Each individual error scales with the lowest order of the Dyson series, therefore immediately yielding the order of decoherence suppression. We show that the error suppression properties of QDD are dependent upon the parities of N1 and N2, and near-optimal performance is achieved for general single-qubit interactions when N1 = N2.

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“…Therefore the total normalized time of a QDD sequence with N 1 inner and N 2 outer pulses is given by, (10) so that the total physical time is T (N1,N2) = S (N1,N2) τ .…”

Section: Qdd Protocolmentioning

confidence: 99%

“…One advantage of DD is that it is an open-loop control method, which does not require any measurements or feedback, unlike quantum error correction [8]. Nor does DD require any specific knowledge of the environment other than it being non-Markovian, unlike optimal control methods designed to suppress decoherence [9,10].…”

Section: Introductionmentioning

confidence: 99%

Quadratic dynamical decoupling with nonuniform error suppression

Quiroz

Lidar

2011

Phys. Rev. A

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“…Choosing the times for the pulses leads to a variety of sequences that can be optimized according to the spectral density of the bath [48,49,52,92,[94][95][96].…”

Section: Basics Of Dynamical Decoupling (A) the Systemmentioning

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%

Robust dynamical decoupling

Souza

Álvarez

Suter

2012

Phil. Trans. R. Soc. A.

188

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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“…The latter investigates the ability of using an external field to store, transfer, and manipulate information in correlated systems. Since it is important to protect quantum information from degradation, quantum storage protocols are naturally and closely related to the decoherence suppression [6,7,8,9,10,11,12,13,14,15,16,17,18] and the enhancement of adiabaticity of quantum states [19,20,21]. Despite its long history, quantum decoherence and adiabaticity still challenge our comprehension, and continue to provoke our curiosity, as they are involved with various processes in quantum mechanics.…”

Section: Introductionmentioning

confidence: 99%

Overview of quantum memory protection and adiabaticity induction by fast signal control

Jing

2015

Science Bulletin

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A quantum memory or information processing device is subject to disturbance from its surrounding environment or inevitable leakage due to its contact with other systems. To tackle these problems, several control protocols have been proposed for quantum memory or storage. Among them, the fast-signal control or dynamical decoupling based on external pulse sequences provides a prevailing strategy aimed at suppressing decoherence and preventing the target systems from the leakage or diffusion process. In this paper, we review the applications of this protocol in protecting quantum memory under the non-Markovian dissipative noise and maintaining systems on finite speed adiabatic passages without leakage therefrom. We analyze leakage and control perturbative and nonperturbative dynamical equations including second-order master equation, quantum-state-diffusion equation, and one-component master equation derived from Feshbach PQ-partitioning technique. It turns out that the quality of fast-modulated signal control is insensitive to configurations of the applied pulse sequences. Specifically, decoherence and leakage will be greatly suppressed as long as the control sequence is able to effectively shift the system beyond the bath cutoff frequency, almost independent of the details of the control sequences which could be ideal pulses, regular rectangular pulses, random pulses and even noisy pulses.

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Bath-Optimized Minimal-Energy Protection of Quantum Operations from Decoherence

Cited by 104 publications

References 26 publications

Quadratic dynamical decoupling with nonuniform error suppression

Quadratic dynamical decoupling with nonuniform error suppression

Robust dynamical decoupling

Overview of quantum memory protection and adiabaticity induction by fast signal control

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