NV-Center Based Digital Quantum Simulation of a Quantum Phase Transition in Topological Insulators

Abstract

Nitrogen-vacancy centers in diamond are ideal platforms for quantum simulation, which allows one to handle problems that are intractable theoretically or experimentally. Here we propose a digital quantum simulation scheme to simulate the quantum phase transition occurring in an ultrathin topological insulator film placed in a parallel magnetic field [Zyuzin \textit{et al.}, Phys. Rev. B \textbf{83}, 245428 (2011)]. The quantum simulator employs high quality spin qubits achievable in nitrogen-vacancy centers and can be realized with existing technology. The problem can be mapped onto the Hamiltonian of two entangled qubits represented by the electron and nuclear spins. The simulation uses the Trotter algorithm, with an operation time of the order of 100 $\mu$s for each individual run.

5 pages, 4 figures

References in corpus (12)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Nanometer scale quantum thermometry in a living cell
• Heralded entanglement between solid-state qubits separated by 3 meters
• High precision nano scale temperature sensing using single defects in diamond
• Decoherence-protected quantum gates for a hybrid solid-state spin register
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Exciton condensation and charge fractionalization in a topological insulator film
• Fractional topological insulators in three dimensions
• Wilson Fermions and Axion Electrodynamics in Optical Lattices

Cited by in corpus (9)

• Quantum computing of fluid dynamics using the hydrodynamic Schrödinger equation
• Digital Simulation of Topological Matter on Programmable Quantum Processors
• Direct measurement of topological numbers with spins in diamond
• Probing the Quantum Noise of the Spinon Fermi Surface with NV Centers
• Nitrogen-Vacancy Center as Open-Quantum-System Simulator
• Experimental Simulation of Hybrid Quantum Systems and Entanglement on a Quantum Computer
• Algorithmic decomposition for efficient multiple nuclear spin detection in diamond
• Detection of Electron Paramagnetic Resonance of Two Electron Spins Using a Single NV Center in Diamond
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator