Optimization of short coherent control pulses

Pasini, Stefano; Fischer, Tim; Karbach, P.; Uhrig, Götz S.

doi:10.1103/physreva.77.032315

Cited by 54 publications

(115 citation statements)

References 30 publications

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“…Thus we can apply the pulses designed in Ref. [32] to the higher order DD schemes for general quantum systems.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…DD of single-qubit systems using finite-amplitude pulses up to a control error in the second order of pulse durations has been presented in Refs. [32,41]. In UDD, finite-amplitude pulses of higher orders of control precision can also be incorporated [20].…”

Section: Dd By Pulses Of Finite Amplitudementioning

confidence: 99%

“…Unfortunately, a no-go theorem established in Ref. [32,41] restricts that instantaneous π pulses can not be approximated by a finite-amplitude pulse with error lower than O τ 2 p without perturbing the bath evolution. Thus, here we focus on the first order pulse shaping with M p = 2.…”

Section: Dd By Pulses Of Finite Amplitudementioning

confidence: 99%

“…In addition, we will show that NUDD can be implemented with pulses of finite amplitude, which approximate ideal δ-pulses up to an error in the second order of the pulse durations, with the same pulse shaping as in Ref. [32]. For a general multi-level quantum system, we can also construct an MOOS and use NUDD to generate an effective symmetry group to a given decoupling order.…”

Section: Introductionmentioning

confidence: 99%

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Protection of quantum systems by nested dynamical decoupling

Wang

Liu

2011

Phys. Rev. A

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Based on a theorem we establish on dynamical decoupling of time-dependent systems, we present a scheme of nested Uhrig dynamical decoupling (NUDD) to protect multi-qubit systems in generic quantum baths to arbitrary decoupling orders, using only single-qubit operations. The number of control pulses in NUDD increases polynomially with the decoupling order. For general multi-level systems, this scheme can preserve a set of unitary Hermitian system operators which mutually either commute or anti-commute, and hence all operators in the Lie algebra generated from this set of operators, generating an effective symmetry group for the system up to a given order of precision. NUDD can be implemented with pulses of finite amplitude, up to an error in the second order of the pulse durations.

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“…Thus we can apply the pulses designed in Ref. [32] to the higher order DD schemes for general quantum systems.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Dd By Pulses Of Finite Amplitudementioning

confidence: 99%

Section: Dd By Pulses Of Finite Amplitudementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Protection of quantum systems by nested dynamical decoupling

Wang

Liu

2011

Phys. Rev. A

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“…Dynamical decoupling [1,2,3] (DD) can be very effective in protecting coherence of a quantum system against low-frequency environment [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]. This, combined with low resource requirement, makes it attractive as the first-level coherence protection technique, in combination with quantum error correcting codes [26,27] (QECC).…”

Section: Introductionmentioning

confidence: 99%

Soft-pulse dynamical decoupling with Markovian decoherence

Pryadko

Quiroz

2009

Phys. Rev. A

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We consider the effect of broadband decoherence on the performance of refocusing sequences, having in mind applications of dynamical decoupling in concatenation with quantum error correcting codes as the first stage of coherence protection. Specifically, we construct cumulant expansions of effective decoherence operators for a qubit driven by a pulse of a generic symmetric shape, and for several sequences of π-and π/2-pulses. While, in general, the performance of soft pulses in decoupling sequences in the presence of Markovian decoherence is worse than that of the ideal δ-pulses, it can be substantially improved by shaping.

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Quantum speedup of uncoupled multiqubit open system via dynamical decoupling pulses

Song

Kuang

Tan

2016

Quantum Inf Process

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We present a method to accelerate the dynamical evolution of multiqubit open system by employing dynamical decoupling pulses (DDPs) when the qubits are initially in W-type states. It is found that this speed-up evolution can be achieved in both of the weak-coupling regime and the strong-coupling regime. The physical mechanism behind the acceleration evolution is explained as the result of the joint action of the non-Markovianity of reservoirs and the excited-state population of qubits. It is shown that both of the non-Markovianity and the excited-state population can be controlled by DDPs to realize the quantum speed-up.

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Optimization of short coherent control pulses

Cited by 54 publications

References 30 publications

Protection of quantum systems by nested dynamical decoupling

Protection of quantum systems by nested dynamical decoupling

Soft-pulse dynamical decoupling with Markovian decoherence

Quantum speedup of uncoupled multiqubit open system via dynamical decoupling pulses

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