Implementation of Geometric Quantum Gates on Microwave‐Driven Semiconductor Charge Qubits

Abstract

A semiconductor‐based charge qubit, confined in double quantum dots, can be a platform to implement quantum computing. However, it suffers severely from charge noises. Here, a theoretical framework to implement universal geometric quantum gates in this system is provided. It is found that, while the detuning noise can be suppressed by operating near its corresponding sweet spot, the tunneling noise, on the other hand, is amplified and becomes the dominant source of error for single‐qubit gates, a fact previously insufficiently appreciated. It is demonstrated, through numerical simulation, that the geometric gates outperform the dynamical gates across a wide range of tunneling noise levels, making them particularly suitable to be implemented in conjunction with microwave driving. To obtain a nontrivial two‐qubit gate, a hybrid system is introduced with charge qubits coupled by a superconducting resonator. When each charge qubit is in resonance with the resonator, it is possible to construct an entangling geometric gate with fidelity higher than that of the dynamical gate for experimentally relevant noise levels. Therefore, the results suggest that geometric quantum gates are powerful tools to achieve high‐fidelity manipulation for the charge qubit.

Refined Quantum Gates for Λ‐Type Atom‐Photon Hybrid Systems

“…The evolution of quantum computing [1] and quantum communication [2][3][4][5][6][7][8] is inseparable from the construction and improvement of the basic framework, where the logical qubit gate is one of the primary modules. [9] By far, plentiful and various logical gates have been presented with diverse systems, such as linear optics, [10][11][12][13][14][15][16] quantum dots (QDs), [17][18][19][20][21] cavity-atom systems, [22][23][24][25][26] cross-Kerr nonlinearity, [27] ion trap, [28] nitrogenvacancy center, [29][30][31] and superconducting circuit. [32] A photon possesses available single-qubit operations, easy, and intuitional measurement, low decoherence, and faithful and efficient transmission of information.…”

Deterministic Hyperparallel Control Gates with Weak Kerr Effects

“…[16][17][18][19][20] It is extensively proven that any quantum computing process can be completed via some elementary single-qubit operations and two-qubit entangled gates, e.g., controlled-NOT (CNOT) gate. [21] Recently, extensive attention has been raised to realize universal quantum logic gates with instinctive systems mainly including linear optics, [22][23][24][25][26] quantum dots, [27][28][29][30][31][32] superconducting circuits, [33] nitrogen vacancy centers [34][35][36][37] waveguide systems, [38][39][40][41] and neutral atoms. [42,43] However, efficiently implementing multi-qubit DOI: 10.1002/qute.202300201 quantum logic gates presents a major obstacle in practical large-scale integration.…”

Path-optimized nonadiabatic geometric quantum computation on superconducting qubits

“…To get a pure geometric phase, the usual method is to eliminate the accompanied dynamical phase, which can be achieved via several special evolution loops [27][28][29], besides the original time-consuming multi-loop evolution strategies. Therefore, the schemes of GQC based on single-loop evolution have been proposed [30][31][32][33][34][35][36][37][38], which further decreases the needed time for geometric gates. Notably, the elimination of dynamical phase has also been investigate in the case of quantum computation with non-cyclic geometric phases [39][40][41][42][43][44].…”