This paper investigates the potential of topological protection for enhancing the control and readout of quantum bit (qubit) arrays. The core claim is that leveraging the inherent stability provided by topological protection mechanisms can significantly improve the robustness of qubit systems against environmental decoherence. The proposed mechanism involves the design of specific qubit array geometries utilizing topological insulators to shield qubits from external noise, thereby preserving quantum entanglement and boosting qubit stability. We explore the theoretical framework underpinning this approach, detailing the mathematical representation of topological protection and its implications for qubit control fidelity. The study focuses on the fundamental principles and potential advancements, without involving experimental validation. This research contributes to the growing body of knowledge surrounding robust quantum computing architectures.This paper investigates the potential of topological protection for enhancing the control and readout of quantum bit (qubit) arrays. The core claim is that leveraging the inherent stability provided by topological protection mechanisms can significantly improve the robustness of qubit systems against environmental decoherence. The proposed mechanism involves the design of specific qubit array geometries utilizing topological insulators to shield qubits from external noise, thereby preserving quantum entanglement and boosting qubit stability. We explore the theoretical framework underpinning this approach, detailing the mathematical representation of topological protection and its implications for qubit control fidelity. The study focuses on the fundamental principles and potential advancements, without involving experimental validation. This research contributes to the growing body of knowledge surrounding robust quantum computing architectures.

Aug 29, 20260 citations

Progress and challenges for topological qubits

S. Das Sarma

Bulletin of the American Physical SocietyMar 5, 20180 citations

Topologically protected gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state

Lachezar S. Georgiev

We extend the topological quantum computation scheme using the Pfaffian quantum Hall state, which has been recently proposed by Das Sarma et al., in a way that might potentially allow for the topologically protected construction of a universal set of quantum gates. We construct, for the first time, a topologically protected controlled-NOT gate, which is entirely based on quasihole braidings of Pfaffian qubits. All single-qubit gates, except for the $\ensuremath{\pi}∕8$ gate, are also explicitly implemented by quasihole braidings. Instead of the $\ensuremath{\pi}∕8$ gate we try to construct a topologically protected Toffoli gate, in terms of the controlled-phase gate and CNOT or by a braid-group-based controlled-controlled- $Z$ precursor. We also give a topologically protected realization of the Bravyi-Kitaev two-qubit gate ${g}_{3}$ .We extend the topological quantum computation scheme using the Pfaffian quantum Hall state, which has been recently proposed by Das Sarma et al., in a way that might potentially allow for the topologically protected construction of a universal set of quantum gates. We construct, for the first time, a topologically protected controlled-NOT gate, which is entirely based on quasihole braidings of Pfaffian qubits. All single-qubit gates, except for the $\ensuremath{\pi}∕8$ gate, are also explicitly implemented by quasihole braidings. Instead of the $\ensuremath{\pi}∕8$ gate we try to construct a topologically protected Toffoli gate, in terms of the controlled-phase gate and CNOT or by a braid-group-based controlled-controlled-$Z$ precursor. We also give a topologically protected realization of the Bravyi-Kitaev two-qubit gate ${g}_{3}$.

arXiv:cond-mat/0607125Physical Review BDec 21, 200654 citations

Z

precursor. We also give a topologically protected realization of the Bravyi-Kitaev two-qubit gate

{g}_{3}