Abstract
In the previous chapters, detuned optical pulses were used to generate qubit rotations. While deriving the effect of the laser pulses on the spin, we generally ignored overall, global phases. However, in this chapter, we shall report on experiments were the global (geometric) phases of a (detuned) 2-level interaction can be visualized in Ramsey interferometry, by beating the phase against the Larmor precession. In the context of 2-qubit interactions, geometric phases play a crucial role for the realization of entangling gates [1, 2]; the realization of a fast, pulsed global phase for single quantum dot electron spins is essential for this task.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The same argument is valid for any conditional phase gate, where only one 2-qubit combination undergoes a geometric phase shift of π – we refer to Ref. [8] for more details.
References
D. Kim, S. G. Carter, A. Greilich, A. S. Bracker, and D. Gammon. Ultrafast optical control of entanglement between two quantum-dot spins. Nat. Phys., 7:223, 2011.
T. D. Ladd and Y. Yamamoto. Simple quantum logic gate with quantum dot cavity QED systems. Phys. Rev. B, 84:235307, 2011.
A. Messiah. Quantum mechanics. Dover, 1999.
S. E. Economou, L. J. Sham, Y. Wu, and D. G. Steel. Proposal for optical U(1) rotations of electron spin trapped in a quantum dot. Phys. Rev. B, 74:205415, 2006.
S. E. Economou and T. L. Reinecke. Theory of Fast Optical Spin Rotation in a Quantum Dot Based on Geometric Phases and Trapped States. Phys. Rev. Lett., 99:217401, 2007.
D. Press, K. De Greve, P. McMahon, T. D. Ladd, B. Friess, C. Schneider, M. Kamp, S. Hfling, A. Forchel, and Y. Yamamoto. Ultrafast optical spin echo in a single quantum dot. Nat. Photonics, 4:367, 2010.
E. Kim, K. Truex, X. Xu, B. Sun, D. G. Steel, A. S. Bracker, D. Gammon, and L. J. Sham. Fast spin rotations by optically controlled geometric phases in a charge-tunable inas quantum dot. Phys. Rev. Lett., 104(16):167401, 2010.
M. A. Nielsen and I. L. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2000.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this chapter
Cite this chapter
De Greve, K. (2013). Fast, Pulsed, All-Optical Geometric Phases Gates. In: Towards Solid-State Quantum Repeaters. Springer Theses. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00074-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-00074-9_5
Published:
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00073-2
Online ISBN: 978-3-319-00074-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)