aqora

Nonperturbative dynamical decoupling with random control

Jun Jing, C. Allen Bishop, Lian-Ao Wu

Parametric fluctuations or stochastic signals are introduced into the rectangular pulse sequence to investigate the feasibility of random dynamical decoupling. In a large parameter region, we find that the out-of-order control pulses work as well as the regular pulses for dynamical decoupling and dissipation suppression. Calculations and analysis are enabled by and based on a nonperturbative dynamical decoupling approach allowed by an exact quantum-state-diffusion equation. When the average frequency and duration of the pulse sequence take proper values, the random control sequence is robust, fault-tolerant, and insensitive to pulse strength deviations and interpulse temporal separation in the quasi-periodic sequence. This relaxes the operational requirements placed on quantum control devices to a great deal.Parametric fluctuations or stochastic signals are introduced into the rectangular pulse sequence to investigate the feasibility of random dynamical decoupling. In a large parameter region, we find that the out-of-order control pulses work as well as the regular pulses for dynamical decoupling and dissipation suppression. Calculations and analysis are enabled by and based on a nonperturbative dynamical decoupling approach allowed by an exact quantum-state-diffusion equation. When the average frequency and duration of the pulse sequence take proper values, the random control sequence is robust, fault-tolerant, and insensitive to pulse strength deviations and interpulse temporal separation in the quasi-periodic sequence. This relaxes the operational requirements placed on quantum control devices to a great deal.

arXiv:1407.0930Scientific ReportsAug 29, 201412 citations

Study of decoherence and dynamical decoupling in an optical lattice

Samansa Maneshi, J. F. Kanem, Chao Zhuang +2 more

Bulletin of the American Physical SocietyMay 19, 20060 citations

Nonlinear coherent dynamics of an atom in an optical lattice

Victor Yu. Argonov, Sergey V. Prants

arXiv:quant-ph/0607048Journal of Russian Laser ResearchJul 1, 200620 citations

The dynamical-decoupling-based spatiotemporal noise spectroscopy

Jan A. Krzywda, Piotr Szańkowski, Łukasz Cywiński

Here we demonstrate how the standard, temporal-only, dynamical-decoupling-based noise spectroscopy method can be extended to also encompass the spatial degree of freedom. This spatiotemporal spectroscopy utilizes a system of multiple qubits arranged in a line that are undergoing pure dephasing due to environmental noise. When the qubits are driven by appropriately coordinated sequences of π pulses the multi-qubit register becomes decoupled from all components of the noise, except for those characterized by frequencies and wavelengths specified by the pulse sequences. This allows for employment of the procedure for reconstruction of the two-dimensional spectral density that quantifies the power distribution among spatial and temporal harmonic components of the noise.Here we demonstrate how the standard, temporal-only, dynamical-decoupling-based noise spectroscopy method can be extended to also encompass the spatial degree of freedom. This spatiotemporal spectroscopy utilizes a system of multiple qubits arranged in a line that are undergoing pure dephasing due to environmental noise. When the qubits are driven by appropriately coordinated sequences of π pulses the multi-qubit register becomes decoupled from all components of the noise, except for those characterized by frequencies and wavelengths specified by the pulse sequences. This allows for employment of the procedure for reconstruction of the two-dimensional spectral density that quantifies the power distribution among spatial and temporal harmonic components of the noise.

arXiv:1809.02972New Journal of PhysicsMar 6, 201926 citations

Coherent Transient in a Cesium Optical Lattice

L. Gaidoni, C. Tnche, Philippe Verkerk +1 more

European Quantum Electronics Conference (EQEC)Jan 1, 19960 citations

E8‑Phi Lattice Decoupling Extends P‑31 Qubit Coherence — E8 Intelligence Research

Andrew Stewart Caldin

The 240 root vectors of the E8 lattice can be projected onto the spin‑½ degrees of freedom of phosphorus‑31 nuclei in silicon, defining a discrete set of 240 phase offsets that form a high‑dimensional temporal lattice. By scaling these offsets with successive powers of the golden ratio φ (τ_i = φ^k·τ₀, τ₀ = 1/132 Hz) we obtain a quasiperiodic pulse sequence whose Fourier spectrum exhibits systematic gaps that cancel low‑frequency noise far more efficiently than conventional dynamical decoupling. When applied to P‑31 qubits, this E8‑Phi lattice decoupling elevates the coherence time from the ten‑second benchmark to several minutes, scaling exponentially with the number of lattice‑encoded pulses. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.comThe 240 root vectors of the E8 lattice can be projected onto the spin‑½ degrees of freedom of phosphorus‑31 nuclei in silicon, defining a discrete set of 240 phase offsets that form a high‑dimensional temporal lattice. By scaling these offsets with successive powers of the golden ratio φ (τ_i = φ^k·τ₀, τ₀ = 1/132 Hz) we obtain a quasiperiodic pulse sequence whose Fourier spectrum exhibits systematic gaps that cancel low‑frequency noise far more efficiently than conventional dynamical decoupling. When applied to P‑31 qubits, this E8‑Phi lattice decoupling elevates the coherence time from the ten‑second benchmark to several minutes, scaling exponentially with the number of lattice‑encoded pulses. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Aug 10, 20260 citations

Pulse sequences for dynamical decoupling in an optical lattice broadened by temporal frequency drift

Related papers

Pulse sequences for dynamical decoupling in an optical lattice broadened by temporal frequency drift

Related papers