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 fault-tolerant universal quantum computation. We estimate the feasibility of the proposed structure by analyzing the gate fidelities to some extent.

7 pages, 5 figures

References in corpus (5)

• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Robustness of non-adiabatic holonomic gates
• Two path transport measurements on a triple quantum dot
• On the stability of quantum holonomic gates
• Conceptual aspects of geometric quantum computation

Cited by in corpus (7)

• Nonadiabatic holonomic quantum computation with dressed-state qubits
• Implementing universal nonadiabatic holonomic quantum gates with transmons
• Fast holonomic quantum computation based on solid-state spins with all-optical control
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Entangling power of holonomic gates in atom-cavity systems
• Geometric and holonomic quantum computation
• Scalable star-shape architecture for universal spin-based nonadiabatic holonomic quantum computation