ON states as resource units for universal quantum computation with photonic architectures

@article{Sabapathy2018ONSA,
  title={ON states as resource units for universal quantum computation with photonic architectures},
  author={Krishna Kumar Sabapathy and Christian Weedbrook},
  journal={Physical Review A},
  year={2018}
}
Universal quantum computation using photonic systems requires gates whose Hamiltonians are of order greater than quadratic in the quadrature operators. We first review previous proposals to implement such gates, where specific non-Gaussian states are used as resources in conjunction with entangling gates such as the continuous-variable versions of C-PHASE and C-NOT gates. We then propose ON states which are superpositions of the vacuum and the $N^{th}$ Fock state, for use as non-Gaussian… 
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References

SHOWING 1-10 OF 56 REFERENCES

Non-Gaussian ancilla states for continuous variable quantum computation via Gaussian maps

We investigate non-Gaussian states of light as ancillary inputs for generating nonlinear transformations required for quantum computing with continuous variables. We consider a recent proposal for…

Demonstration of a universal one-way quantum quadratic phase gate

We demonstrate a quadratic phase gate for one-way quantum computation in the continuous-variable regime. This canonical gate, together with phase-space displacements and Fourier rotations, completes…

Universal Quantum Computing with Measurement-Induced Continuous-Variable Gate Sequence in a Loop-Based Architecture.

A scalable scheme for optical quantum computing using measurement-induced continuous-variable quantum gates in a loop-based architecture that can process any input state and an arbitrary number of modes with almost minimum resources is proposed.

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 canonical…

Demonstration of a quantum nondemolition sum gate.

A QND sum gate is experimentally demonstrated, employing the scheme by R. Filip, P. Marek, and U. Andersen solely based on off-line squeezed states, homodyne measurements, and feedforward, and verified by simultaneously satisfying the criteria for QND measurements in both conjugate quadratures.

Continuous-variable quantum teleportation with non-Gaussian resources

We investigate continuous variable quantum teleportation using non-Gaussian states of the radiation field as entangled resources. We compare the performance of different classes of degaussified…

Quantum information with continuous variables

  • T. Ralph
  • Physics
    Conference Digest. 2000 International Quantum Electronics Conference (Cat. No.00TH8504)
  • 2000
This work discusses new work that shows how entanglement of the Bell-type can be observed in continuous variable, homodyne measurement schemes, and contrasts the various classical limits which emerge from the different ways of assessing teleportation.

Measurement-induced optical Kerr interaction

We present a method for implementing a weak optical Kerr interaction (single-mode Kerr Hamiltonian) in a measurement-based fashion using the common set of universal elementary interactions for…

Squeezing the limit: quantum benchmarks for the teleportation and storage of squeezed states

For mixed states, as well as for general distributions of displacements, the determination of the benchmarks are reduced to the solution of a finite-dimensional semidefinite program, which yields accurate, certifiable bounds thanks to a rigorous analysis of the truncation error.

Gaussian quantum information

This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination.
...