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 (22)

• Realization of a multi-node quantum network of remote solid-state qubits
• 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 many-body theory of qubit decoherence in a finite-size spin bath
• Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
• Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
• Exact quantum jump approach to open systems in Bosonic and spin baths
• Probing the coherence of solid-state qubits at avoided crossings
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• Controlling quantum systems by embedded dynamical decoupling schemes
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• Efficient creation of dipolar coupled nitrogen-vacancy spin qubits in diamond
• 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
• 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