Optimized dynamical decoupling for power-law noise spectra

Pasini, Stefano; Uhrig, Götz S.

doi:10.1103/physreva.81.012309

Cited by 80 publications

(114 citation statements)

References 34 publications

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“…However, it appears that non-equidistant sequences perform better only for particular noise spectral densities that increase for higher frequencies and have a strong cutoff. In the more frequent case, where the spectral density decreases smoothly with the frequency, equidistant sequences were predicted [90][91][92] and demonstrated [49,55,56,62,63,65] to be the best option [65].…”

Section: Basics Of Dynamical Decoupling (A) the Systemmentioning

confidence: 99%

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Robust dynamical decoupling

Souza

Álvarez

Suter

2012

Phil. Trans. R. Soc. A.

193

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: Basics Of Dynamical Decoupling (A) the Systemmentioning

confidence: 99%

“…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%

Robust dynamical decoupling

Souza

Álvarez

Suter

2012

Phil. Trans. R. Soc. A.

193

194

View full text Add to dashboard Cite

show abstract

“…Its particular strength is that it is applicable even if the details of the system-environment coupling are unknown. In the context of quantum information the theoretical framework was developed in [13,21] and the efficiency of different decoupling schemes was studied and improved for several environmental models in [22][23][24][25][26][27]. Many experiments, such as [28][29][30], demonstrate the applicability of dynamical decoupling in an impressive way by prolonging coherence times a few orders of magnitude.…”

Section: Dynamical Decoupling For Bounded Hamiltoniansmentioning

confidence: 99%

Distinguishing decoherence from alternative quantum theories by dynamical decoupling

et al. 2015

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A long standing challenge in the foundations of quantum mechanics is the verification of alternative collapse theories despite their mathematical similarity to decoherence. To this end, we suggest a novel method based on dynamical decoupling. Experimental observation of non-zero saturation of the decoupling error in the limit of fast decoupling operations can provide evidence for alternative quantum theories. The low decay rates predicted by collapse models are challenging, but high fidelity measurements as well as recent advances in decoupling schemes for qubits let us explore a similar parameter regime to experiments based on macroscopic superpositions. As part of the analysis we prove that unbounded Hamiltonians can be perfectly decoupled. We demonstrate this on a novel dilation of a Lindbladian to a fully Hamiltonian model that induces exponential decay.

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“…However, when the spectral density (see Appendix for the description of the decoherence function in terms of spectral density) of the bath has a soft cut-off (long-tail), the CPMG sequence has been shown to give better results than the UDD sequence [11,33]. Moreover, the CPMG sequence has been shown to outperform other sequences for an intermediate region where the spectral density is Gaussian [34].…”

Section: Dynamical Decouplingmentioning

confidence: 99%

Dynamical decoupling in optical fibers: Preserving polarization qubits from birefringent dephasing

et al. 2012

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One of the major challenges in quantum computation has been to preserve the coherence of a quantum system against dephasing effects of the environment. The information stored in photon polarization, for example, is quickly lost due to such dephasing, and it is crucial to preserve the input states when one tries to transmit quantum information encoded in the photons through a communication channel. We propose a dynamical decoupling sequence to protect photonic qubits from dephasing by integrating wave plates into optical fiber at prescribed locations. We simulate random birefringent noise along realistic lengths of optical fiber and study preservation of polarization qubits through such fibers enhanced with Carr-Purcell-Meiboom-Gill (CPMG) dynamical decoupling. This technique can maintain photonic qubit coherence at high fidelity, making a step towards achieving scalable and useful quantum communication with photonic qubits.

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Optimized dynamical decoupling for power-law noise spectra

Cited by 80 publications

References 34 publications

Robust dynamical decoupling

Robust dynamical decoupling

Distinguishing decoherence from alternative quantum theories by dynamical decoupling

Dynamical decoupling in optical fibers: Preserving polarization qubits from birefringent dephasing

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