Performance of quantum registers in diamond in the presence of spin impurities

Abstract

The Nitrogen Vacancy Center in diamond coupled to addressable surrounding nuclear spins forms a versatile building block for future quantum technologies. While previous activities focused on sensing with only a single or very few spins in operation, recently multi-qubit registers have been successfully implemented for quantum information processing. Further progress requires a detailed understanding of the performance of quantum protocols for consecutive gate operations and thus, beyond established treatments for relaxation and dephasing. Here, we provide such a theoretical analysis for a small spin registers with up to four spins built out of NV and environmental constituents in presence of ensembles of interacting impurity spins. Adapting a cluster correlation expansion, we predict coherence properties as well as fidelities for GHZ- and Bell-gate operations also in presence of decoupling pulses. The influence of the volume density and the geometry of the spin-bath consisting of the substitutional nitrogen- or ${}^{13}C$ atoms are also taken into account.

References in corpus (51)

• A computable measure of entanglement
• The nitrogen-vacancy colour centre in diamond
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• The logarithmic negativity: A full entanglement monotone that is not convex
• Heralded entanglement between solid-state qubits separated by 3 meters
• Solid-state electronic spin coherence time approaching one second
• Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
• Realization of a multi-node quantum network of remote solid-state qubits
• Quantum error correction in a solid-state hybrid spin register
• Room temperature entanglement between distant single spins in diamond
• A 10-qubit solid-state spin register with quantum memory up to one minute
• Universal control and error correction in multi-qubit spin registers in diamond
• Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
• Decoherence-protected quantum gates for a hybrid solid-state spin register
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Decoherence of dipolar spin ensembles in diamond
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
• Double-quantum spin-relaxation limits to coherence of near-surface nitrogen-vacancy centers
• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• Combining dynamical decoupling with fault-tolerant quantum computation
• Protected quantum computing: Interleaving gate operations with dynamical decoupling sequences
• Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
• Robust Dynamical Decoupling Sequences for Individual Nuclear Spin Addressing
• Efficient Implementation of a Quantum Algorithm in a Single Nitrogen Vacancy Center of Diamond
• Exact quantum jump approach to open systems in Bosonic and spin baths
• Spin-lattice relaxation of individual solid-state spins
• Probing the coherence of solid-state qubits at avoided crossings
• Coherence and entanglement of inherently long-lived spin pairs in diamond
• Strongly Coupled Diamond Spin Qubits by Molecular Nitrogen Implantation
• Controlling quantum systems by embedded dynamical decoupling schemes
• Temperature-dependent spin-lattice relaxation of the nitrogen-vacancy spin triplet in diamond
• Efficient quantum gates for individual nuclear spin qubits by indirect control
• Experimental protection of 2-qubit quantum gates against environmental noise by dynamical decoupling
• Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
• Fabrication of ${}^{15}{\text{NV}}^{-}$ centers in diamond using a deterministic single ion implanter
• Longitudinal spin relaxation model applied to point defect qubit systems
• Efficient creation of dipolar coupled nitrogen-vacancy spin qubits in diamond
• Arbitrary Nuclear Spin Gates in Diamond Mediated by a NV-center Electron Spin
• State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Precise control of entanglement in multinuclear spin registers coupled to defects
• Optimisation of diamond quantum processors
• Influence of extended defects on the formation energy, the hyperfine structure, and the zero-field splitting of NV centers in diamond
• Dynamic mean-field theory for dense spin systems at infinite temperature
• Generation of genuine all-way entanglement in defect-nuclear spin systems through dynamical decoupling sequences
• Exact Entanglement Dynamics of Two Spins in Finite Baths
• Rapid transform optimisation strategy for decoherence-protected quantum register in diamond

Cited by in corpus (10)

• Spin coherence in strongly coupled spin baths in quasi-two-dimensional layers
• Coherence properties of NV-center ensembles in diamond coupled to an electron-spin bath
• Fidelity of photon-mediated entanglement between remote nuclear-spin multi-qubit registers
• High-Fidelity Entangling Gates for Electron and Nuclear Spin Qubits in Diamond
• Entanglement structures in disordered chains of nitrogen-vacancy centers
• First-principles computational methods for quantum defects in two-dimensional materials: A perspective
• Quantum decoherence of nitrogen-vacancy spin ensembles in a nitrogen spin bath in diamond under dynamical decoupling
• Simulating decoherence of two coupled spins using the generalized cluster correlation expansion
• High-throughput spin-bath characterization of spin-defects in semiconductors
• Suppression of coherent errors during entangling operations in NV centers in diamond