Simulating arbitrary Gaussian circuits with linear optics

@article{Chakhmakhchyan2018SimulatingAG,
  title={Simulating arbitrary Gaussian circuits with linear optics},
  author={L. Chakhmakhchyan and Nicolas J. Cerf},
  journal={Physical Review A},
  year={2018},
  volume={98},
  pages={062314}
}
Linear canonical transformations of bosonic modes correspond to Gaussian unitaries, which comprise passive linear-optical transformations as effected by a multiport passive interferometer and active Bogoliubov transformations as effected by a nonlinear amplification medium. As a consequence of the Bloch-Messiah theorem, any Gaussian unitary can be decomposed into a passive interferometer followed by a layer of single-mode squeezers and another passive interferometer. Here, it is shown how to… Expand
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References

SHOWING 1-10 OF 74 REFERENCES
Universal linear optics
TLDR
This work demonstrates a single reprogrammable optical circuit that is sufficient to implement all possible linear optical protocols up to the size of that circuit and programmed this system to implement heralded quantum logic and entangling gates, boson sampling with verification tests, and six-dimensional complex Hadamards. Expand
Boson sampling with Gaussian measurements
We develop an alternative boson sampling model operating on single-photon states followed by linear interferometry and Gaussian measurements. The hardness proof for simulating suchExpand
Bounds to precision for quantum interferometry with Gaussian states and operations
We address high-precision measurements by active and passive interferometric schemes based on Gaussian states and operations. In particular, we look for the best states to be injected into theirExpand
Squeezing as an irreducible resource
Using the Bloch-Messiah reduction we show that squeezing is an ``irreducible'' resource which remains invariant under transformations by linear optical elements. In particular, this gives aExpand
The computational complexity of linear optics
TLDR
A model of computation in which identical photons are generated, sent through a linear-optical network, then nonadaptively measured to count the number of photons in each mode is defined, giving new evidence that quantum computers cannot be efficiently simulated by classical computers. Expand
Suppression law of quantum states in a 3D photonic fast Fourier transform chip
TLDR
A scalable approach for the implementation of the fast Fourier transform algorithm using three-dimensional photonic integrated interferometers, fabricated via femtosecond laser writing technique, and results demonstrate genuine quantum interference between the injected photons, thus offering a powerful tool for diagnostic of photonic platforms. Expand
Building Gaussian cluster states by linear optics
The linear optical creation of Gaussian cluster states, a potential resource for universal quantum computation, is investigated. First, using Bloch-Messiah reduction, we show how to achieve canonicalExpand
A scheme for efficient quantum computation with linear optics
TLDR
It is shown that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors and are robust against errors from photon loss and detector inefficiency. Expand
An Optimal Design for Universal Multiport Interferometers
Universal multiport interferometers, which can be programmed to implement any linear transformation between multiple channels, are emerging as a powerful tool for both classical and quantumExpand
Proposal for Quantum Simulation via All-Optically-Generated Tensor Network States.
TLDR
It is demonstrated that state-of-the-art optical devices are capable of determining the ground-state properties of the spin-1/2 Heisenberg model and the principle is illustrated with the generation of two different classes of entangled tensor network states. Expand
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4
5
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