All-microwave holonomic control of an electron-nuclear two-qubit register in diamond

Abstract

We present a theoretical scheme that allows to perform a universal set of holonomic gates on a two qubit register, formed by a ${}^{13}$C nuclear spin coupled to the electron spin of a nitrogen-vacancy center in diamond. Strong hyperfine interaction between the electron spin and the spins of the first three shells of ${}^{13}$C atoms allows to operate the state of the register on the submicrosecond timescale using microwave pulses only. We describe the system and the operating regime analytically and numerically, as well as simulate the initialization protocols.

arXiv commentrevised v2; added author; 11 pages, 5 figures, 1 table

References in corpus (35)

• The nitrogen-vacancy colour centre in diamond
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
• High-fidelity projective readout of a solid-state spin quantum register
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Quantum error correction in a solid-state hybrid spin register
• Schrieffer-Wolff transformation for quantum many-body systems
• Room temperature entanglement between distant single spins in diamond
• Properties of nitrogen-vacancy centers in diamond: group theoretic approach
• Universal control and error correction in multi-qubit spin registers in diamond
• Theory of the ground state spin of the NV- center in diamond: II. Spin solutions, time-evolution, relaxation and inhomogeneous dephasing
• Theory of the ground state spin of the NV- center in diamond: I. Fine structure, hyperfine structure, and interactions with electric, magnetic and strain fields
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Distributed Quantum Computation Based-on Small Quantum Registers
• Detection and control of individual nuclear spins using a weakly coupled electron spin
• Ab initio supercell calculations on nitrogen-vacancy center in diamond: its electronic structure and hyperfine tensors
• Atomic-scale imaging of a 27-nuclear-spin cluster using a single-spin quantum sensor
• Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
• Coherence of single spins coupled to a nuclear spin bath of varying density
• Strong mechanical driving of a single electron spin
• Demonstration of entanglement-by-measurement of solid state qubits
• Holonomic Quantum Control by Coherent Optical Excitation in Diamond
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Nanomechanical sensing using spins in diamond
• High fidelity transfer and storage of photon states in a single nuclear spin
• Robustness of non-adiabatic holonomic gates
• Spin-strain interaction in nitrogen-vacancy centers in diamond
• Universal Control of Nuclear Spins Via Anisotropic Hyperfine Interactions
• Coherence and control of quantum registers based on electronic spin in a nuclear spin bath
• Nonadiabatic holonomic single-qubit gates in off-resonant $\Lambda$ systems
• Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
• Switched Control of Electron Nuclear Spin Systems
• Measurement of transverse hyperfine interaction by forbidden transitions
• Multipartite entanglement generation and contextuality tests using non-destructive three-qubit parity measurements
• A cavity-mediated quantum CPHASE gate between NV spin qubits in diamond

Cited by in corpus (8)

• Doubly geometric quantum control
• Flopping-mode electron dipole spin resonance in the strong-driving regime
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Temporally correlated quantum noise in driven quantum systems
• Realizing highly entangled states in asymmetrically coupled three NV centers at room temperature
• Dispersive cavity-mediated quantum gate between driven dot-donor nuclear spins
• High-Fidelity Entangling Gates for Electron and Nuclear Spin Qubits in Diamond
• Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit