Analog spin simulators: how to keep the amplitude homogeneous
A setup that simulates ground states of spin graphs would allow one to solve computationally hard optimisation problems efficiently. Current optical setups to this goal have difficulties decoupling the amplitude and phase degrees of freedom of each effective spin; risking to yield the mapping inv...
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Main Authors: | , , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2024
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/174033 http://arxiv.org/abs/2306.05743v3 |
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Institution: | Nanyang Technological University |
Language: | English |
Summary: | A setup that simulates ground states of spin graphs would allow one to solve
computationally hard optimisation problems efficiently. Current optical setups
to this goal have difficulties decoupling the amplitude and phase degrees of
freedom of each effective spin; risking to yield the mapping invalid, a problem
known as amplitude heterogeneity. Here, we propose a setup with coupled active
optical cavity modes, where this problem is eliminated through their particular
geometric arrangement. Acting as an effective Monte Carlo solver, the ground
state can be found exactly. By tuning a parameter, the setup solves XY or Ising
problems. |
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