Open research questions in Quantum and electron transport phenomena
139 gap statements mined from Quantum and electron transport phenomena papers in our 4.5M-paper local library, which holds 983 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.
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What the literature leaves open
The analysis is limited to single-photon absorption and emission processes. Contributions from higher-state transitions are neglected. The calculation is based on typical material parameters for GaAs/AlGaAs heterostructures.
The Nernst Effect in Infinite Semi-parabolic Asymmetric Quantum Wells with Electron-aacoustic Phonon Scattering in the Presence of Electromagnetic Wave · 2026 · DOIThe lack of understanding of the Peltier coefficient in asymmetric quantum wells under intense electromagnetic waves. The need to investigate the dependence of the Peltier coefficient on various system parameters.
An Infinite Semi-parabolic Asymmetric Quantum Well: Oscillations in the Peltier Coefficient under the Influence of Intense Electromagnetic Waves · 2026 · DOIThe gap is the lack of understanding of the electronic transport valley induced by dc current bias. The study aims to address this gap by investigating the hydrodynamic regime of electron liquid.
Joule heating and electronic Gurzhi effect in hydrodynamic differential transport in an electron liquid · 2026 · DOIThe study is limited to a specific model of the barrier potential. The interaction is approximated as short-ranged. Enhanced screening suppresses the effective interaction strength in the multichannel regime.
The study is limited by the microwave environment being the major source of decoherence. The experiment is performed at a specific magnetic field of 227 mT.
Coherence of a hole-spin flopping-mode qubit in a circuit quantum electrodynamics environment · 2026 · DOIFuture research should focus on mitigating the decoherence caused by the microwave environment. Strategies from the superconducting qubit community can be applied to enhance FM qubit performances.
Coherence of a hole-spin flopping-mode qubit in a circuit quantum electrodynamics environment · 2026 · DOIThe need for a comprehensive review of the theoretical underpinnings of electron tunneling.
Future studies can build on the results of this paper to further investigate MRT in flux qubits. The development of more advanced theoretical models and experimental techniques can help to improve our understanding of MRT. The study of MRT in other types of qubits can provide further insights into the phenomenon.
Investigation of macroscopic resonant tunneling mechanism in superconducting flux qubit · 2026 · DOIThe lack of exploration of the classical Hall effect in 2DEGs for Faraday rotation. The need for high mobility 2DEGs to achieve near-total Faraday rotation.
The paper addresses the need for a method to calculate the conductance under a given constraint on the number of electrons.
Boundary Potential Method for Describing Electron Teleportation in an Interferometer with a Topological Superconductor · 2026 · DOIReducing performance spread in qubit coherence is a significant challenge. Scaling superconducting quantum platforms requires further advances in coherence time and reproducibility. Identifying materials-level sources of performance variation is crucial for improving qubit performance.
Identifying materials-level sources of performance variation in superconducting transmon qubits · 2026 · DOIThe study addresses the gap in understanding materials-level sources of performance variation in superconducting transmon qubits. Prior work has focused on identifying disordered regions, but the study investigates the specific material features that correlate with qubit performance.
Identifying materials-level sources of performance variation in superconducting transmon qubits · 2026 · DOIThe incorporation of spin-orbit coupling into the phaseless pw-AFQMC method is a challenging task. The method is limited by the use of pseudopotentials, which can be inadequate in certain cases.
The method is limited by the use of pseudopotentials, which can be inadequate in certain cases. The simulation is subject to finite-size errors, which can affect the accuracy of the results.
The need to understand the role of spin-exchange-mediated excitation transfer in Mn-doped QDs.
Ultrafast photoreduction driven by interfacial spin exchange in manganese-doped quantum dots · 2026 · DOIFuture research may involve the experimental realization of the quantum Hall effect with time-dependent magnetic fields. Future research may also involve the study of other phenomena in condensed matter physics using the Ermakov method.
Sampling error remains a significant challenge in estimating the binned fidelity F′.
Sampling error remains a significant challenge in estimating the binned fidelity F′. The large entropy of the ground-state manifold leads to sampling error. Finite loop corrections can result in estimated spin-spin correlations outside the range [−1, 1].
Further investigation of the Nernst effect in other low-dimensional semiconductor systems. Experimental verification of the theoretical results. Exploration of the potential applications of the Nernst effect in low-temperature nanodevices.
The Nernst Effect in Infinite Semi-parabolic Asymmetric Quantum Wells with Electron-aacoustic Phonon Scattering in the Presence of Electromagnetic Wave · 2026 · DOIResearch into quantum gravity, quantum biology, and the measurement problem. Further development of quantum machine learning algorithms and quantum computing technologies.
Applying the principles to material systems beyond 2DEGs hosted in semiconductor heterostructures. Exploring electromagnetic environments beyond hollow metal waveguides.
To incorporate inelastic scattering processes into the boundary potential method. To study the conductance of other systems with topological superconductors using the boundary potential method. To improve the understanding of electron teleportation in topological superconductors.
Boundary Potential Method for Describing Electron Teleportation in an Interferometer with a Topological Superconductor · 2026 · DOIThe measured dynamics correspond to the single-exciton regime, - The hole contribution is small (virtually negligible), - Thermal broadening further spreads the hole population over many closely spaced VB…
Ultrafast photoreduction driven by interfacial spin exchange in manganese-doped quantum dots · 2026 · DOIThe paper identifies a gap in the theoretical understanding of the quantum Hall effect with time-dependent magnetic fields. The paper aims to fill this gap by extending the Ermakov analysis to the Landau problem.
The paper identifies a gap in the existing research on vacuum Rabi splitting. The paper proposes a novel system that achieves tunable triple vacuum Rabi splitting.
Multiple vacuum Rabi splitting in a quantum dot embedded in a nanocavity assisted by two auxiliary cavities · 2026 · DOI
Most-cited papers in Quantum and electron transport phenomena
- Quantum Spin Hall Insulator State in HgTe Quantum Wells · Science · 2007 · 5,566 citations
- Quantum computing in molecular magnets · Nature · 2001 · 2,884 citations
- Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots · Science · 2005 · 2,874 citations
- Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets · Nature · 2017 · 2,724 citations
- Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres · Nature · 2015 · 2,252 citations
- Materials challenges and opportunities for quantum computing hardware · Science · 2021 · 705 citations
- Approaching the quantum limit in two-dimensional semiconductor contacts · Nature · 2023 · 604 citations
- Note on Hamilton Circuits · American Mathematical Monthly · 1960 · 571 citations
- New material platform for superconducting transmon qubits with coherence times exceeding 0.3 milliseconds · Nature Communications · 2021 · 558 citations
- Quantum logic with spin qubits crossing the surface code threshold · Nature · 2022 · 501 citations
Most recent work
- Fully autonomous tuning of a spin qubit · Nature Electronics · 2026
- All-nitride superconducting qubits based on atomic layer deposition · Nature Materials · 2026
- Above 99.9% Fidelity Single-Qubit Gates, Two-Qubit Gates, and Readout in a Single Superconducting Quantum Device · PRX Quantum · 2026
- A quantum computer controlled by superconducting digital electronics at millikelvin temperature · Nature Electronics · 2026
- A crossbar chip for benchmarking semiconductor spin qubits · Nature Electronics · 2026
- Seniority-Zero Canonical Transformation Theory: Error Reduction via Late Truncation · Journal of Chemical Theory and Computation · 2026
- Ruelle-Pollicott resonances of diffusive U(1)-invariant qubit circuits · SciPost Physics · 2026
- Local spreading of stabilizer Rényi entropy in a brickwork random Clifford circuit · Physical Review Research · 2026
- Electron spin relaxation in bulk GaAs at room temperature: A Monte Carlo-based quantitative study · Applied Physics Letters · 2026
- Radiofrequency cascade readout of coupled spin qubits · Nature Electronics · 2026
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