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Title: Holonomic Quantum Control by Coherent Optical Excitation in Diamond

Authors:
; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1395913
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 14; Related Information: CHORUS Timestamp: 2017-10-02 10:17:38; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Zhou, Brian B., Jerger, Paul C., Shkolnikov, V. O., Heremans, F. Joseph, Burkard, Guido, and Awschalom, David D. Holonomic Quantum Control by Coherent Optical Excitation in Diamond. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.140503.
Zhou, Brian B., Jerger, Paul C., Shkolnikov, V. O., Heremans, F. Joseph, Burkard, Guido, & Awschalom, David D. Holonomic Quantum Control by Coherent Optical Excitation in Diamond. United States. doi:10.1103/PhysRevLett.119.140503.
Zhou, Brian B., Jerger, Paul C., Shkolnikov, V. O., Heremans, F. Joseph, Burkard, Guido, and Awschalom, David D. 2017. "Holonomic Quantum Control by Coherent Optical Excitation in Diamond". United States. doi:10.1103/PhysRevLett.119.140503.
@article{osti_1395913,
title = {Holonomic Quantum Control by Coherent Optical Excitation in Diamond},
author = {Zhou, Brian B. and Jerger, Paul C. and Shkolnikov, V. O. and Heremans, F. Joseph and Burkard, Guido and Awschalom, David D.},
abstractNote = {},
doi = {10.1103/PhysRevLett.119.140503},
journal = {Physical Review Letters},
number = 14,
volume = 119,
place = {United States},
year = 2017,
month =
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on October 2, 2018
Publisher's Accepted Manuscript

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  • Although geometric phases in quantum evolution are historically overlooked, their active control now stimulates strategies for constructing robust quantum technologies. Here, we demonstrate arbitrary singlequbit holonomic gates from a single cycle of nonadiabatic evolution, eliminating the need to concatenate two separate cycles. Our method varies the amplitude, phase, and detuning of a two-tone optical field to control the non-Abelian geometric phase acquired by a nitrogen-vacancy center in diamond over a coherent excitation cycle. We demonstrate the enhanced robustness of detuned gates to excited-state decoherence and provide insights for optimizing fast holonomic control in dissipative quantum systems.
  • We study decoherence induced by stochastic squeezing control errors considering the particular implementation of a Hadamard gate on optical and ion trap holonomic quantum computers. We analytically obtain both the purity of the final state and the fidelity for the Hadamard gate when the control noise is modeled by the Ornstein-Uhlenbeck stochastic process. We demonstrate the purity and the fidelity oscillations depending on the choice of the initial superimposed state. We derive a linear formulae connecting the gate fidelity and the purity of the final state.
  • We investigate the influence of random errors in external control parameters on the stability of holonomic quantum computation in the case of arbitrary loops and adiabatic connections. A simple expression is obtained for the case of small random uncorrelated errors. Due to universality of mathematical description our results are valid for any physical system which can be described in terms of holonomies. Theoretical results are confirmed by numerical simulations.
  • Temporal coherent control of an excited state wave packet is produced by a sequence of two identical ultrashort laser pulses. We show theoretically and experimentally in the case of the (6s-7d) two-photon transition in Cs that optical and quantum interferences take place and are clearly distinguished. {copyright} {ital 1997} {ital The American Physical Society}
  • We suggest a new method for quantum optical control with nanoscale resolution. Our method allows for coherent far-field manipulation of individual quantum systems with spatial selectivity that is not limited by the wavelength of radiation and can, in principle, approach a few nanometers. The selectivity is enabled by the nonlinear atomic response, under the conditions of electromagnetically induced transparency, to a control beam with intensity vanishing at a certain location. Practical performance of this technique and its potential applications to quantum information science with cold atoms, ions, and solid-state qubits are discussed.