Universal non-adiabatic geometric manipulation of pseudo-spin charge qubits

Abstract

Reliable quantum information processing requires high fidelity universal manipulation of quantum systems within the characteristic coherence times. Non-adiabatic holonomic quantum computation offers a promising approach to implement fast, universal, and robust quantum logic gates particularly useful in nano-fabricated solid-state architectures, which typically have short coherence times. Here, we propose an experimentally feasible scheme to realize high-speed universal geometric quantum gates in nano-engineered pseudo-spin charge qubits. We use a system of three coupled quantum dots containing a single electron, where two computational states of a double quantum dot charge qubit interact through an intermediate quantum dot. The additional degree of freedom introduced into the qubit makes it possible to create a geometric model system, which allows robust and efficient single-qubit rotations through careful control of the inter-dot tunneling parameters. We demonstrate that a capacitive coupling between two charge qubits permits a family of non-adiabatic holonomic controlled two-qubit entangling gates, and thus provides a promising procedure to maintain entanglement in charge qubits and a pathway toward faulttolerant universal quantum computation. We estimate the feasibility of the proposed structure by analyzing the gate fidelities to some extent.

Scalable star-shaped architecture for universal spin-based nonadiabatic holonomic quantum computation

“…(20) we have that the subspaces H q evolve in cyclic fashions during the time interval [0, τ ]. These cyclic evolutions actually take place in the Grassmanian G (8,4), the space of all four dimensional subspaces of the eight dimensional Hilbert space of the three qubits k, l, and a. We may call C q the corresponding loops in the Grassmanian G (8,4).…”

“…Nonadiabatic holonomic quantum computation [2][3][4] compared to its adiabatic counterpart [1] is more compatible with the short coherence time of quantum bits (qubits). To achieve a feasible platform, nonadiabatic holonomic quantum computation has been adapted and developed for different physical settings [2][3][4][5][6][7][8][9][10]. Nonadiabatic holonomic quantum computation has also been combined with decoherence free subspaces [21][22][23][24][25][26][27][28], noiseless subsystems [29], and dynamical decoupling [30] to further improve its robustness.…”

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

“…In this work, we focus on non‐adiabatic GQGs. In addition, GQG has also been investigated in the context of semiconductor quantum dots using spin states [ 38,43,69–73 ] and charge states, [ 39,71,74,75 ] based on non‐adiabatic evolutions. Nevertheless, detailed implementation of GQGs in charge qubit systems, especially in those driven by microwave at sweet spots, is lacking in the literature.…”

Holonomic protected charge qubits coupled via a superconducting resonator

“…Recently, the holonomic gate using non-adiabatic evolution have been successfully implemented for various system in experiments, including, for example, the superconducting circuits [23,25,26], nitrogenvacancy centers in diamond [27][28][29][30][31][32] and nuclear magnetic resonance [33][34][35]. Several approaches for the non-adiabatic geometric gates have been proposed for the charge qubits in semiconductor dot [36][37][38][39][40]. However, universal HC qubit manipulation in the semiconductor quantum dot is still lacking in the literature.…”