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arXiv:2101.09654 · npj Quantum Information

Protecting qubit coherence by spectrally engineered driving of the spin environment

Maxime Joos, Dolev Bluvstein, Yuanqi Lyu, David Weld, Ania C. Bleszynski Jayich

Published Apr 29, 2022• 31 citations
arXivHTMLPDF

Abstract

Abstract Modern quantum technologies rely crucially on techniques to mitigate quantum decoherence; these techniques can be either passive, achieved for example via materials engineering, or active, typically achieved via pulsed monochromatic driving fields applied to the qubit. Using a solid-state defect spin coupled to a microwave-driven spin bath, we experimentally demonstrate a decoherence mitigation method based on spectral engineering of the environmental noise with a polychromatic drive waveform, and show that it outperforms monochromatic techniques. Results are in agreement with quantitative modeling, and open the path to active decoherence protection using custom-designed waveforms applied to the environment rather than the qubit.

DOI
10.1038/s41534-022-00560-0

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Abstract Modern quantum technologies rely crucially on techniques to mitigate quantum decoherence; these techniques can be either passive, achieved for example via materials engineering, or active, typically achieved via pulsed monochromatic driving fields applied to the qubit. Using a solid-state defect spin coupled to a microwave-driven spin bath, we experimentally demonstrate a decoherence mitigation method based on spectral engineering of the environmental noise with a polychromatic drive waveform, and show that it outperforms monochromatic techniques. Results are in agreement with quantitative modeling, and open the path to active decoherence protection using custom-designed waveforms applied to the environment rather than the qubit.
Abstract We introduce a paradigm of spectral engineering for environmental noise aimed at actively protecting quantum coherence in solid-state qubits. Through the analytical study of the decoherence process induced by cavity leakage in a double-quantum-dot–cavity system, we demonstrate high-frequency charge noise can effectively freeze the quantum state and protect quantum coherence. Then, departing from conventional noise-suppression strategies, we propose to synthesize tailored noise spectra by linearly mixing multiple Ornstein–Uhlenbeck (OU) stochastic processes. The composite noise is designed to possess a power spectral density enriched in high-frequency components which is required for coherence protection. Our method provides a general framework for approximating arbitrary noise profiles, including the ubiquitous 1 / f spectrum prevalent in semiconductor devices, using only a finite set of simple noises. Numerical simulations confirm that a noise field synthesized from a sufficiently large number of OU processes preserves coherence significantly better than one constructed from just a few components. This work establishes noise engineering as a practical tool for coherence management and offers a versatile model for simulating complex noise environments in quantum information platforms.
I propose a mechanism for actively suppressing quantum decoherence by engineering a structuredspin environment that modifies the propagation of environmental fluctuations. Unlike conventionalapproaches that attempt to decouple the qubit from its surroundings, my framework leverages thesame spin-boson interaction responsible for decoherence to reshape the noise spectrum at its origin.Using an effective field theory description, I show that a dense, correlated spin shell generates aself-energy correction to a coupled bosonic mode (e.g., phonons or magnons), producing an emergentmass gap and exponential attenuation of fluctuations within a characteristic length δ ∼ 1/√nSχS.I derive the resulting enhancement of coherence time T2, validate the mechanism with numericalsimulations including 1/f, white, and spin-bath noise, and identify an optimal density regime nS ∼1019–1020 cm−3 where net protection occurs. The enhancement is non-monotonic, reaching factorsof 5–15 under realistic conditions.A decisive experimental signature is the ordering:Tordered2 > T bare2 > T disordered2which cannot be explained by conventional uncorrelated spin-bath models.
Abstract Dense ensembles of spin qubits are valuable for quantum applications, even though their coherence protection remains challenging. Continuous dynamical decoupling can protect ensemble qubits from noise while allowing gate operations, but it is hindered by the additional noise introduced by the driving. Concatenated continuous driving (CCD) techniques can, in principle, mitigate this problem. Here we provide deeper insights into the dynamics under CCD, based on Floquet theory, that lead to optimized state protection by adjusting driving parameters in the CCD scheme to induce mode evolution control. We experimentally demonstrate the improved control by simultaneously addressing a dense nitrogen-vacancy (NV) ensemble with 1010 spins. We achieve an experimental 15-fold improvement in coherence time for an arbitrary, unknown state, and a 500-fold improvement for an arbitrary, known state, corresponding to driving the sidebands and the center band of the resulting Mollow triplet, respectively. We can achieve such coherence time gains by optimizing the driving parameters to take into account the noise affecting our system. By extending the generalized Bloch equation approach to the CCD scenario, we identify the noise sources that dominate the decay mechanisms in NV ensembles, confirm our model by experimental results, and identify the driving strengths yielding optimal coherence. Our results can be directly used to optimize qubit coherence protection under continuous driving and bath driving, and enable applications in robust pulse design and quantum sensing.
Decoherence limits the physical realization of qubits, and its mitigation is critical for the development of quantum science and technology. We construct a robust qubit embedded in a decoherence-protected subspace, obtained by applying microwave dressing to a clock transition of the ground-state electron spin of a silicon carbide divacancy defect. The qubit is universally protected from magnetic, electric, and temperature fluctuations, which account for nearly all relevant decoherence channels in the solid state. This culminates in an increase of the qubit's inhomogeneous dephasing time by more than four orders of magnitude (to >22 milliseconds), while its Hahn-echo coherence time approaches 64 milliseconds. Requiring few key platform-independent components, this result suggests that substantial coherence improvements can be achieved in a wide selection of quantum architectures.
We show that the electromagnetic or phononic environment of a topological quantum device can be engineered to actively suppress decoherence. For a Majorana qubit in a superconducting wire, the exponentially small splitting ε∼e−L/ξε\sim e^{-L/ξ}ε∼e−L/ξ that provides topological protection also makes the qubit vulnerable to low-frequency noise. From a microscopic local interaction, we derive the effective low-energy coupling between the Majorana parity operator and a bosonic field; the coupling strength itself is proportional to εεε, reflecting the qubit's non-local nature. The resulting pure-dephasing rate scales as Γϕ∝ε2S(ε)Γ_ϕ\propto ε^2 S(ε)Γϕ​∝ε2S(ε), with S(ε)S(ε)S(ε) the environmental noise power at frequency εεε. In the experimentally relevant high-temperature regime (kBT≳ℏεk_B T \gtrsim \hbarεkB​T≳ℏε), this gives Γϕ∝ερ(ε)TΓ_ϕ\propto ερ(ε) TΓϕ​∝ερ(ε)T, where ρ(ε)ρ(ε)ρ(ε) is the environmental density of states. By engineering an environment with a suppressed low-frequency density of states, ρeng(ω)=ρ0(ω/ωc)αρ_{\text{eng}}(ω) = ρ_0 (ω/ω_c)^αρeng​(ω)=ρ0​(ω/ωc​)α for ω<ωcω< ω_cω<ωc​ (α>0α> 0α>0), the dephasing rate drops to Γϕeng∝εα+1∝e−(α+1)L/ξΓ_ϕ^{\text{eng}} \propto ε^{α+1} \propto e^{-(α+1)L/ξ}Γϕeng​∝εα+1∝e−(α+1)L/ξ. Thus, longer wires yield exponentially better coherence---a direct synergy with topological protection. This "inverse Purcell" effect, which suppresses the density of states at the qubit frequency, provides a quantitative design principle for environmental engineering. Our work establishes spectral density shaping as a practical method for enhancing coherence in topological quantum devices.
The coherence of electron spin qubits in semiconductor quantum dots suffers mostly from low-frequency noise.During the past decade, efforts have been devoted to mitigate such noise by material engineering, leading to substantial enhancement of the spin dephasing time for an idling qubit.However, the role of the environmental noise during spin manipulation, which determines the control fidelity, is less understood.We demonstrate an electron spin qubit whose coherence in the driven evolution is limited by highfrequency charge noise rather than the quasistatic noise inherent to any semiconductor device.We employ a feedback-control technique to actively suppress the latter, demonstrating a π-flip gate fidelity as high as 99.04 Æ 0.23% in a gallium arsenide quantum dot.We show that the driven-evolution coherence is limited by the longitudinal noise at the Rabi frequency, whose spectrum resembles the 1=f noise observed in isotopically purified silicon qubits.