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Witnessing Quantum Correlations in a Nuclear Spin Ensemble via a Proxy Qubit

Dorian A. Gangloff, Leon Zaporski, Jonathan H. Bodey +8 more

A resident electron spin in a semiconductor nanostructure is an interface to an ensemble of nuclear spins, and witnesses the creation of entanglement within the ensemble in the form of dark-state coherences.

Quantum Information and Measurement (QIM)Jan 1, 20211 citation

Quantum Correlations Through Spin Coherent States

Mostafa Mansour, Zakaria Dahbi, M. Essakhi +1 more

International Journal of Theoretical PhysicsMay 28, 202126 citations

Witnessing nonclassical correlations via a single-shot experiment on an ensemble of spins using nuclear magnetic resonance

Amandeep Singh, Arvind, Kavita Dorai

A bipartite quantum system in a mixed state can exhibit nonclassical correlations which can go beyond quantum entanglement. While quantum discord is the standard measure of quantifying such general quantum correlations, the nonclassicality can be determined by simpler means via the measurement of witness operators. We experimentally construct a positive map to witness nonclassicality of two qubits in an NMR system. The map can be decomposed in terms of measurable spin magnetizations so that a single run of an experiment on an ensemble of spins suffices to detect the nonclassicality in the state, if present. We let the state evolve in time and use the map to detect nonclassicality as a function of time. To evaluate the efficacy of the witness operator as a means to detect nonclassicality, we measure quantum discord by performing full quantum-state tomography at each time instant and obtain a fairly good match between the two methods.A bipartite quantum system in a mixed state can exhibit nonclassical correlations which can go beyond quantum entanglement. While quantum discord is the standard measure of quantifying such general quantum correlations, the nonclassicality can be determined by simpler means via the measurement of witness operators. We experimentally construct a positive map to witness nonclassicality of two qubits in an NMR system. The map can be decomposed in terms of measurable spin magnetizations so that a single run of an experiment on an ensemble of spins suffices to detect the nonclassicality in the state, if present. We let the state evolve in time and use the map to detect nonclassicality as a function of time. To evaluate the efficacy of the witness operator as a means to detect nonclassicality, we measure quantum discord by performing full quantum-state tomography at each time instant and obtain a fairly good match between the two methods.

arXiv:1701.00606Physical Review AJun 12, 20177 citations

Effects of electron-nuclear spin interaction on electron-spin qubit operations

Seungwon Lee, Paul von Allmen, Fabiano Oyafuso +2 more

Mar 23, 20040 citations

Electron-spin qubit operation error due to electron-nuclear spin interaction

Seungwon Lee, Paul von Allmen, Fabiano Oyafuso +2 more

May 10, 20040 citations

Precession-induced nonclassicality of the free induction decay of NV centers by a dynamical polarized nuclear spin bath

Mu-Che Lin, Ping‐Yuan Lo, Franco Nori +1 more

Abstract The ongoing exploration of the ambiguous boundary between the quantum and the classical worlds has spurred substantial developments in quantum science and technology. Recently, the nonclassicality of dynamical processes has been proposed from a quantum-information-theoretic perspective, in terms of witnessing nonclassical correlations with Hamiltonian ensemble simulations. To acquire insights into the quantum-dynamical mechanism of the process nonclassicality, here we propose to investigate the nonclassicality of the electron spin free-induction-decay process associated with an NV− center. By controlling the nuclear spin precession dynamics via an external magnetic field and nuclear spin polarization, it is possible to manipulate the dynamical behavior of the electron spin, showing a transition between classicality and nonclassicality. We propose an explanation of the classicality–nonclassicality transition in terms of the nuclear spin precession axis orientation and dynamics. We have also performed a series of numerical simulations supporting our findings. Consequently, we can attribute the nonclassical trait of the electron spin dynamics to the behavior of nuclear spin precession dynamics.Abstract The ongoing exploration of the ambiguous boundary between the quantum and the classical worlds has spurred substantial developments in quantum science and technology. Recently, the nonclassicality of dynamical processes has been proposed from a quantum-information-theoretic perspective, in terms of witnessing nonclassical correlations with Hamiltonian ensemble simulations. To acquire insights into the quantum-dynamical mechanism of the process nonclassicality, here we propose to investigate the nonclassicality of the electron spin free-induction-decay process associated with an NV− center. By controlling the nuclear spin precession dynamics via an external magnetic field and nuclear spin polarization, it is possible to manipulate the dynamical behavior of the electron spin, showing a transition between classicality and nonclassicality. We propose an explanation of the classicality–nonclassicality transition in terms of the nuclear spin precession axis orientation and dynamics. We have also performed a series of numerical simulations supporting our findings. Consequently, we can attribute the nonclassical trait of the electron spin dynamics to the behavior of nuclear spin precession dynamics.

arXiv:2205.13512Journal of Physics Condensed MatterOct 19, 20224 citations

Witnessing quantum correlations in a nuclear ensemble via an electron spin qubit

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