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Chinese Control Conference (CCC)

The dynamics of a hybrid system based on the NV center in spin bath

Shanping Yu, Zairong Xi

Published Jul 1, 2015• 0 citations
Publisher

Abstract

Hybrid system based on nuclear spins coupled to defect electron spin in solid has been proposed as an appealing strategy to manipulate qubits for quantum information processing. While universal quantum control and the time optimal control have been arrived, the influence of environment on the system has been ignored. We studied the dynamics of the hybrid system under the surrounding environment using the quantum master equation approach. The quantum master equation and the mean-value equations of the dynamical variables have been derived. Here we focus on a special platform based on the Nitrogen-Vacancy center electronic spin in diamond and nearby carbon-13 nuclear spins.

DOI
10.1109/chicc.2015.7260967

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Hybrid system based on nuclear spins coupled to defect electron spin in solid has been proposed as an appealing strategy to manipulate qubits for quantum information processing. While universal quantum control and the time optimal control have been arrived, the influence of environment on the system has been ignored. We studied the dynamics of the hybrid system under the surrounding environment using the quantum master equation approach. The quantum master equation and the mean-value equations of the dynamical variables have been derived. Here we focus on a special platform based on the Nitrogen-Vacancy center electronic spin in diamond and nearby carbon-13 nuclear spins.
We propose a practical implementation of a two-qubit entanglement engine which denotes a scheme to generate quantum correlations through purely dissipative processes. On a diamond platform, the electron spin transitions of two nitrogen-vacancy (NV) centers play the role of artificial atoms (qubits), interacting through a dipole-dipole Hamiltonian. The surrounding carbon-13 nuclear spins act as spin baths playing the role of thermal reservoirs at well-defined temperatures and exchanging heat through the NV center qubits. In our scheme, a key challenge is therefore to create a temperature gradient between two spin baths, for which we propose to exploit the recent progress in dynamical nuclear polarization, combined with microscopy superresolution methods. We discuss how these techniques should allow us to initialize such a long lasting out-of-equilibrium polarization situation between them, effectively leading to suitable conditions to run the entanglement engine successfully. Within a quantum master equation approach, we make theoretical predictions using state-of-the-art values for experimental parameters. We obtain promising values for the concurrence, reaching theoretical maxima.
Nitrogen-vacancy (NV) centers in diamond have emerged in the last decade as a prominent platform for quantum technologies. As for any qubit system, a good understanding of their local environment is crucial to build quantum devices protected from detrimental noise. Here, we describe in detail a method to spectroscopically characterize the spin bath around an NV center, even when the NV coherence time is short, and identify the coherent coupling with the nearest nuclear spins. In the regime of weak qubit-bath coupling, the acquired knowledge of the bath reliably predicts the qubit dynamics under different controls.
Quantum computers have the potential to speed up certain problems that are hard for classical computers. Hybrid systems, such as the nitrogen-vacancy (NV) center in diamond, are among the most promising systems to implement quantum computing, provided the control of the different types of qubits can be efficiently implemented. In the case of the NV center, the anisotropic hyperfine interaction allows one to control the nuclear spins indirectly, through gate operations targeting the electron spin, combined with free precession. Here, we demonstrate that this approach allows one to implement a full quantum algorithm, using the example of Grover's quantum search in a single NV center, whose electron is coupled to a carbon nuclear spin.
Indirect control of qubits by a quantum actuator has been proposed as an appealing strategy to manipulate qubits that couple only weakly to external fields. While universal quantum control can be easily achieved when the actuator-qubit coupling is anisotropic, the efficiency of this approach is less clear. Here we analyze the time-efficiency of the quantum actuator control. We describe a strategy to find time-optimal control sequence by the quantum actuator and compare their gate times with direct driving, identifying regimes where the actuator control performs faster. As an example, we focus on a specific implementation based on the Nitrogen-Vacancy center electronic spin in diamond (the actuator) and nearby carbon-13 nuclear spins (the qubits).
A negatively charged nitrogen-vacancy (NV) center in diamond has been recognized as a good solid-state qubit. A system consisting of the electronic spin of the NV center and hyperfine-coupled nitrogen and additionally nearby carbon nuclear spins can form a quantum register of several qubits for quantum information processing or as a node in a quantum repeater. Several impressive experiments on the hybrid electron and nuclear spin register have been reported, but fidelities achieved so far are not yet at or below the thresholds required for fault-tolerant quantum computation (FTQC). Using quantum optimal control theory based on the Krotov method, we show here that fast and high-fidelity single-qubit and two-qubit gates in the universal quantum gate set for FTQC, taking into account the effects of the leakage state, nearby noise qubits, and distant bath spins, can be achieved with errors less than those required by the threshold theorem of FTQC.
The nitrogen-vacancy (NV) center in diamond is a promising candidate for development of quantum communication and simulation devices which are based on the control of coupled quantum systems. It offers an optical readout of its spin state, exhibits long coherence times and allows to coherently control nearby nuclear spins, e.g. from 13C nuclei, even at room-temperature. For successful demonstration of such systems however, controlling the nuclear spin environment, and thus tuning the coupling strengths is crucial to allow the fabrication of a scalable platforms. The combination of Chemical Vapor Deposition (CVD) of diamond as a method with isotopic control on the diamond composition and ion implantation as a tool to reliably create NV centers is a perfect toolkit to study the realization such quantum systems.