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A Degenerate Optical Parametric Oscillator Network for Coherent Computation

Wang, Zhe and Marandi, Alireza and Takata, Kenta and Byer, Robert L. and Yamamoto, Yoshihisa (2016) A Degenerate Optical Parametric Oscillator Network for Coherent Computation. In: Principles and Methods of Quantum Information Technologies. Lecture Notes in Physics. No.911. Springer , Tokyo, pp. 219-249. ISBN 978-4-431-55756-2. https://resolver.caltech.edu/CaltechAUTHORS:20180611-144038211

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Abstract

Laws of physics have proved useful for solving combinatorial optimization problems. This chapter introduces a network of degenerate optical parametric oscillators which takes advantage of principles of quantum optics to tackle NP-hard problems. The underlying mechanism originates from the bistability of the output phase of each oscillator, coherent interactions between coupled oscillators, and the inherent preference of the network for oscillating in a mode with the minimum photon loss. Computational experiments have been extensively performed using instances of an NP-hard problem in graph theory with the number of vertices ranging from 4 to 20000. The numerical results clearly demonstrate the effectiveness of the network. In addition, the network can be physically implemented on a single ring cavity with multiple trains of femtosecond pulses and configurable mutual couplings. The implementation has been realized for the instance on the cubic graph with 4 vertices, and no computational error is detected in 1000 runs.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-4-431-55756-2_11DOIArticle
ORCID:
AuthorORCID
Marandi, Alireza0000-0002-0470-0050
Additional Information:© Springer Japan 2016.
Subject Keywords:Degenerate OPO; Quantum optics; Quantum correlation; Ising model; NP-hard; Combinatorial optimization problems
Series Name:Lecture Notes in Physics
Issue or Number:911
Record Number:CaltechAUTHORS:20180611-144038211
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180611-144038211
Official Citation:Wang Z., Marandi A., Takata K., Byer R.L., Yamamoto Y. (2016) A Degenerate Optical Parametric Oscillator Network for Coherent Computation. In: Yamamoto Y., Semba K. (eds) Principles and Methods of Quantum Information Technologies. Lecture Notes in Physics, vol 911. Springer, Tokyo
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86973
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:11 Jun 2018 22:17
Last Modified:03 Oct 2019 19:50

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