Majorana quantum computation offers a potential approach to securely manipulating and storing quantum data in a topological manner that may effectively resist the decoherence induced by local noise. However, actual Ma...Majorana quantum computation offers a potential approach to securely manipulating and storing quantum data in a topological manner that may effectively resist the decoherence induced by local noise. However, actual Majorana qubit setups are susceptible to noise. In this study, from a quantum dynamics perspective, we develop a noise model for Majorana qubits that accounts for quasi-particle poisoning and Majorana overlapping with fluctuation. Furthermore, we focus on Majorana parity readout methodologies, specifically those leveraging an ancillary quantum dot, and carry out an indepth exploration of continuous measurement techniques founded on the quantum jump model of a quantum point contact.Utilizing these methodologies, we proceed to analyze the influence of noise on the afore-mentioned noise model, employing numerical computation to evaluate the power spectrum and frequency curve. In the culmination of our study, we put forward a strategy to benchmark the presence and detailed properties of noise in Majorana qubits.展开更多
Majorana zero modes(MZMs)are exotic excitations(in condensed matter systems)of fundamental scientific interest and hold great promise as the basis of fault-tolerant topological quantum computation.Though MZMs have bee...Majorana zero modes(MZMs)are exotic excitations(in condensed matter systems)of fundamental scientific interest and hold great promise as the basis of fault-tolerant topological quantum computation.Though MZMs have been predicted in many platforms,their existence is still under debate.In this paper,we review the recent progress in engineering and detecting MZMs in semiconductor-superconductor heterostructures.We also briefiy review the protocols for implementing topological quantum computation by hybrid semiconductor-superconductor nanowires.展开更多
基金supported by the Innovation Program for Quantum Science and Technology (Grant No.2021ZD0302400)the National Natural Science Foundation of China (Grants No.11974198)the Natural Science Foundation of Shandong Province of China (Grant No.ZR2021MA091)。
文摘Majorana quantum computation offers a potential approach to securely manipulating and storing quantum data in a topological manner that may effectively resist the decoherence induced by local noise. However, actual Majorana qubit setups are susceptible to noise. In this study, from a quantum dynamics perspective, we develop a noise model for Majorana qubits that accounts for quasi-particle poisoning and Majorana overlapping with fluctuation. Furthermore, we focus on Majorana parity readout methodologies, specifically those leveraging an ancillary quantum dot, and carry out an indepth exploration of continuous measurement techniques founded on the quantum jump model of a quantum point contact.Utilizing these methodologies, we proceed to analyze the influence of noise on the afore-mentioned noise model, employing numerical computation to evaluate the power spectrum and frequency curve. In the culmination of our study, we put forward a strategy to benchmark the presence and detailed properties of noise in Majorana qubits.
基金supported by the National Natural Science Foundation of China(Grant Nos.12004040,and 11974198)the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302400)the Tsinghua University Initiative Scientific Research Program。
文摘Majorana zero modes(MZMs)are exotic excitations(in condensed matter systems)of fundamental scientific interest and hold great promise as the basis of fault-tolerant topological quantum computation.Though MZMs have been predicted in many platforms,their existence is still under debate.In this paper,we review the recent progress in engineering and detecting MZMs in semiconductor-superconductor heterostructures.We also briefiy review the protocols for implementing topological quantum computation by hybrid semiconductor-superconductor nanowires.
