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Pan Stanford Publishing eBooks

Quantum State Transfer from a Photon to an Electron Spin in Quantum Dots and Quantum Dynamics of Electron-Nuclei Coupled System

T. Takagahara, Özgür Çakır

Published Mar 9, 2010• 0 citations
Publisher
DOI
10.1142/9789814241199_0008

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Theoretical aspects of quantum state transfer, correlation measurement and electron-nuclei coupled dynamics in quantum dots

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Photons and electrons are the key quantum media for the quantum information processing based on solid state devices. The essential ingredients to accomplish the quantum repeater were investigated and their underlying physics were revealed. The relevant elementary processes of the quantum state transfer between a single photon and a single electron were analyzed, to clarify the conditions to be satisfied to achieve the high fidelity of the quantum state transfer. An optical method based on the Faraday rotation was proposed to carry out the Bell measurement of two electrons which is a key operation in the entanglement swapping for the quantum repeater and its feasibility was confirmed. Also investigated was the quantum dynamics in the electron-nuclei coupled spin system in quantum dots and a couple of new phenomena were predicted related to the correlations induced by the hyperfine interaction, namely, bunching and revival in the electron spin measurements. These findings will pave the way to accomplish the efficient and robust quantum repeater and nuclear spin quantum memory.

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Semiconductor Quantum Bits

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Preface Spin and Charge Qubits 1. Coded Qubit Based on Electron Spin M. Korkusinski and P. Hawrylak 2. Quantum Optical Studies of Single Coupled Quantum Dot Pairs G. J. Beirne, M. Jetter, and P. Michler 3. Nuclear Spin Bi-stability in Semiconductor Quantum Dots A. I. Tartakovskii, M. S. Skolnick, A. Russell, and V. I. Fal'ko 4. Nonequilibrium Optical Spin Cooling in Charged Quantum Dots I. A. Akimov, D. H. Feng, and F. Henneberger Qubit Control, Readout, and Transfer 5. Electron Spin Quantum Bits in Quantum Dots: Initialization, Decoherence, and Control A. Greilich, D. R. Yakovlev, M. Bayer, A. Shabaev, and A. L. Efros 6. Optical Control of Quantum-Dot Spin States M. Atat ure, J. Dreiser, A. Badolato, and A. Imamo_glu 7. Optical Read-out of Single Carrier Spin in Semiconductor Quantum Dots F. Troiani, I. Wilson-Rae, and C. Tejedor 8. Quantum State Transfer from a Photon to an Electron Spin in Quantum Dots and Quantum Dynamics of Electron-Nuclei Coupled System T. Takagahara and O. ^ Cakir Qubit Decoherence 9. Spin Quantum-bits and Decoherence in InAs/GaAs Quantum Dots B. Urbaszek, T. Amand, O. Krebs, P. Renucci, and X. Marie 10. Electron and Hole Spin Dynamics and Decoherence in Quantum Dots D. Klauser, D. V. Bulaev, W. A. Coish, and D. Loss 11. Microscopic Theory of Energy Dissipation and Decoherence in Semiconductor Nanodevices F. Rossi 12. Transient Four-wave Mixing of Excitons in Quantum Dots from Ensembles and Individuals P. Borri and W. Langbein Flying Qubits 13. Light-matter Interaction in Single Quantum Dot - Micropillar Cavity Systems S. Reitzenstein, J.-P. Reithmaier, and A. Forchel 14. Entangled Photons via Biexciton-Resonant Hyperparemetric Scattering K. Edamatsu 15. Entangled Photon Pair Emission and Interference from Single Quantum Dots R. M. Stevenson, R. J. Young, and A. J. Shields Qubit Applications 16. Telecom-wavelength Single-photon Sources Based on Single Quantum Dots M. B. Ward, A. J. Shields, B. Alloing, C. Zinoni, C. Monat, and A. Fiore 17. Quantum Information Processing with Quantum Dots in Photonic Crystals J. Vu_ckovi_c, D. Englund, A. Faraon, I. Fushman, and E. Waks 18. High-Speed Quantum Computers with Semiconductor Spins T. D. Ladd, K. Sanaka, K. M. C. Fu, S. Koseki, D. Press, S. M. Clark, K. De Greve, and Y. Yamamoto 19. Quantum Dots: Single-Photon Sources for Quantum Information M. Scholz, T. Aichele, and O. Benson Author Index Subject Index

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Quantum dynamics in electron-nuclei coupled spin system in quantum dots: Bunching, revival, and quantum correlation in electron-spin measurements

Özgür Çakır, T. Takagahara

We investigate quantum dynamics in the electron-nuclei coupled spin system in quantum dots and clarify the fundamental features of quantum correlation induced via successive electron-spin measurements. This quantum correlation leads to interesting phenomena such as the bunching of outcomes in the electron-spin measurements and the revival of an arbitrary initial electron-spin state. The nuclear spin system is also affected by the quantum correlation and is, in fact, squeezed via conditional measurements or postselection. This squeezing is confirmed by calculating the increase in the purity of the nuclear spin system. Thus, the successive electron-spin measurements provide a probabilistic method to squeeze the nuclear spin system. These new features are predicted not only for the case of double quantum dots occupied by a pair of electrons but also for the case of a single quantum dot occupied by a single electron or a pair of electrons.

arXiv:0801.1723•Physical Review B•Mar 4, 2008•6 citations
Photons and electrons are the key quantum media for the quantum information processing based on solid state devices. The essential ingredients to accomplish the quantum repeater were investigated and their underlying physics were revealed. The relevant elementary processes of the quantum state transfer between a single photon and a single electron were analyzed, to clarify the conditions to be satisfied to achieve the high fidelity of the quantum state transfer. An optical method based on the Faraday rotation was proposed to carry out the Bell measurement of two electrons which is a key operation in the entanglement swapping for the quantum repeater and its feasibility was confirmed. Also investigated was the quantum dynamics in the electron-nuclei coupled spin system in quantum dots and a couple of new phenomena were predicted related to the correlations induced by the hyperfine interaction, namely, bunching and revival in the electron spin measurements. These findings will pave the way to accomplish the efficient and robust quantum repeater and nuclear spin quantum memory.
Preface Spin and Charge Qubits 1. Coded Qubit Based on Electron Spin M. Korkusinski and P. Hawrylak 2. Quantum Optical Studies of Single Coupled Quantum Dot Pairs G. J. Beirne, M. Jetter, and P. Michler 3. Nuclear Spin Bi-stability in Semiconductor Quantum Dots A. I. Tartakovskii, M. S. Skolnick, A. Russell, and V. I. Fal'ko 4. Nonequilibrium Optical Spin Cooling in Charged Quantum Dots I. A. Akimov, D. H. Feng, and F. Henneberger Qubit Control, Readout, and Transfer 5. Electron Spin Quantum Bits in Quantum Dots: Initialization, Decoherence, and Control A. Greilich, D. R. Yakovlev, M. Bayer, A. Shabaev, and A. L. Efros 6. Optical Control of Quantum-Dot Spin States M. Atat ure, J. Dreiser, A. Badolato, and A. Imamo_glu 7. Optical Read-out of Single Carrier Spin in Semiconductor Quantum Dots F. Troiani, I. Wilson-Rae, and C. Tejedor 8. Quantum State Transfer from a Photon to an Electron Spin in Quantum Dots and Quantum Dynamics of Electron-Nuclei Coupled System T. Takagahara and O. ^ Cakir Qubit Decoherence 9. Spin Quantum-bits and Decoherence in InAs/GaAs Quantum Dots B. Urbaszek, T. Amand, O. Krebs, P. Renucci, and X. Marie 10. Electron and Hole Spin Dynamics and Decoherence in Quantum Dots D. Klauser, D. V. Bulaev, W. A. Coish, and D. Loss 11. Microscopic Theory of Energy Dissipation and Decoherence in Semiconductor Nanodevices F. Rossi 12. Transient Four-wave Mixing of Excitons in Quantum Dots from Ensembles and Individuals P. Borri and W. Langbein Flying Qubits 13. Light-matter Interaction in Single Quantum Dot - Micropillar Cavity Systems S. Reitzenstein, J.-P. Reithmaier, and A. Forchel 14. Entangled Photons via Biexciton-Resonant Hyperparemetric Scattering K. Edamatsu 15. Entangled Photon Pair Emission and Interference from Single Quantum Dots R. M. Stevenson, R. J. Young, and A. J. Shields Qubit Applications 16. Telecom-wavelength Single-photon Sources Based on Single Quantum Dots M. B. Ward, A. J. Shields, B. Alloing, C. Zinoni, C. Monat, and A. Fiore 17. Quantum Information Processing with Quantum Dots in Photonic Crystals J. Vu_ckovi_c, D. Englund, A. Faraon, I. Fushman, and E. Waks 18. High-Speed Quantum Computers with Semiconductor Spins T. D. Ladd, K. Sanaka, K. M. C. Fu, S. Koseki, D. Press, S. M. Clark, K. De Greve, and Y. Yamamoto 19. Quantum Dots: Single-Photon Sources for Quantum Information M. Scholz, T. Aichele, and O. Benson Author Index Subject Index
We investigate quantum dynamics in the electron-nuclei coupled spin system in quantum dots and clarify the fundamental features of quantum correlation induced via successive electron-spin measurements. This quantum correlation leads to interesting phenomena such as the bunching of outcomes in the electron-spin measurements and the revival of an arbitrary initial electron-spin state. The nuclear spin system is also affected by the quantum correlation and is, in fact, squeezed via conditional measurements or postselection. This squeezing is confirmed by calculating the increase in the purity of the nuclear spin system. Thus, the successive electron-spin measurements provide a probabilistic method to squeeze the nuclear spin system. These new features are predicted not only for the case of double quantum dots occupied by a pair of electrons but also for the case of a single quantum dot occupied by a single electron or a pair of electrons.