# Engineering a Kerr-Based Deterministic Cubic Phase Gate via Gaussian Operations.

@article{Yanagimoto2020EngineeringAK, title={Engineering a Kerr-Based Deterministic Cubic Phase Gate via Gaussian Operations.}, author={Ryotatsu Yanagimoto and Tatsuhiro Onodera and Edwin Ng and Logan G. Wright and Peter Leonard McMahon and Hideo Mabuchi}, journal={Physical review letters}, year={2020}, volume={124 24}, pages={ 240503 } }

We propose a deterministic, measurement-free implementation of a cubic phase gate for continuous-variable quantum information processing. In our scheme, the applications of displacement and squeezing operations allow us to engineer the effective evolution of the quantum state propagating through an optical Kerr nonlinearity. Under appropriate conditions, we show that the input state evolves according to a cubic phase Hamiltonian, and we find that the cubic phase gate error decreases inverse…

## 16 Citations

Towards an engineering framework for ultrafast quantum nonlinear optics

- PhysicsOPTO
- 2021

The advent of dispersion-engineered and highly nonlinear nanophotonics is expected to open up an all-optical path towards the strong-interaction regime of quantum optics by combining high transverse…

Fast optimization of parametrized quantum optical circuits

- Physics, Computer ScienceQuantum
- 2020

This work presents an algorithm that is orders of magnitude faster than the current state of the art, to recursively compute the exact matrix elements of Gaussian operators and their gradient with respect to a parametrization.

Broadband Parametric Downconversion as a Discrete-Continuum Fano Interaction

- Physics
- 2020

We introduce a theoretical framework based on Fano's theory of discrete-continuum interactions to analyze the quantum dynamics of broadband parametric downconversion (PDC) in the few-pump-photon…

Fundamental Thermal Noise Limits for Optical Microcavities

- Physics
- 2020

We present a joint theoretical and experimental characterization of thermo-refractive noise in high quality factor ($Q$), small mode volume ($V$) optical microcavities. Analogous to well-studied…

Efficient simulation of ultrafast quantum nonlinear optics with matrix product states

- PhysicsOptica
- 2021

Ryotatsu Yanagimoto, ∗ Edwin Ng, Logan G. Wright, 3 Tatsuhiro Onodera, 3 and Hideo Mabuchi E. L.Ginzton Laboratory, Stanford University, Stanford, California 94305, USA NTT Physics and Informatics…

Wigner distribution on a double-cylinder phase space for studying quantum error-correction protocols

- Physics
- 2020

We introduce a quasi-probability phase space distribution with two pairs of azimuthal-angular coordinates. This representation is well adapted to describe quantum systems with discrete symmetry.…

Exact and approximate continuous-variable ewline gate decompositions

- Computer Science
- 2021

Gate decomposition techniques for continuous-variable quantum computers are gathered and examined in detail and approximate techniques can cover decompositions for all continuous- variable operations but require significant circuit depth for a modest precision.

Temporal trapping of ultrashort pulses enables deterministic optical quantum computation

- Physics
- 2022

The realization of deterministic photon-photon gates is a central goal in optical quantum computation and engineering. While solid-state nonlinear optics offers a scalable, room temperature solution,…

Onset of non-Gaussian quantum physics in pulsed squeezing with mesoscopic fields

- PhysicsOptica
- 2022

Ryotatsu Yanagimoto, ∗ Edwin Ng, 2, ∗ Atsushi Yamamura, Tatsuhiro Onodera, 3 Logan G. Wright, 3 Marc Jankowski, 2 M. M. Fejer, Peter L. McMahon, and Hideo Mabuchi E. L. Ginzton Laboratory, Stanford…

Robust Preparation of Wigner-Negative States with Optimized SNAP-Displacement Sequences

- PhysicsPRX Quantum
- 2022

Hosting non-classical states of light in three-dimensional microwave cavities has emerged as a promising paradigm for continuous-variable quantum information processing. Here we experimentally…

## References

SHOWING 1-10 OF 114 REFERENCES

Implementation of a quantum cubic gate by an adaptive non-Gaussian measurement

- Physics
- 2016

We present a concept of non-Gaussian measurement composed of a non-Gaussian ancillary state, linear optics and adaptive heterodyne measurement, and on the basis of this we also propose a simple…

Single-photon Kerr nonlinearities do not help quantum computation

- Physics
- 2006

By embedding an atom capable of electromagnetically induced transparency inside an appropriate photonic-crystal microcavity it may become possible to realize an optical nonlinearity that can impart a…

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

- Physics
- 2006

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…

All-optical generation of states for "Encoding a qubit in an oscillator".

- PhysicsOptics letters
- 2010

This work proposes the generation of an approximate GKP state by using superpositions of optical coherent states, squeezing, linear optical devices, and homodyne detection.

Controlled-Phase Gate Using Dynamically Coupled Cavities and Optical Nonlinearities.

- PhysicsPhysical review letters
- 2020

The proposed architecture represents a new approach to practical implementation of quantum gates that is room-temperature compatible and only relies on components that have been individually demonstrated.

From quantum pulse gate to quantum pulse shaper—engineered frequency conversion in nonlinear optical waveguides

- Physics
- 2011

Full control over the spatiotemporal structure of quantum states of light is an important goal in quantum optics, to generate, for instance, single-mode quantum pulses or to encode information on…

Non-Gaussian quantum states of a multimode light field

- Physics, Computer ScienceNature Physics
- 2019

The generation of non-Gaussian quantum states of a multimode field is reported through a mode-selective photon-subtraction scheme and demonstrates large-scale non- Gaussianity with great flexibility along with an ensured compatibility with quantum information protocols.

Efficient quantum computing using coherent photon conversion

- PhysicsNature
- 2011

A deterministic process—coherent photon conversion (CPC)— is introduced that provides a new way to generate and process complex, multiquanta states for photonic quantum information applications and is not restricted to optical systems but could also be implemented in optomechanical, electromechanical and superconducting systems with extremely strong intrinsic nonlinearities.

Universal quantum computation with continuous-variable cluster states.

- Computer Science, PhysicsPhysical review letters
- 2006

We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear…

Spectral effects of strong χ(2) nonlinearity for quantum processing

- Physics
- 2009

Optical χ(2) nonlinearity can be used for parametric amplification and producing down-converted entangled photon pairs that have broad applications. It is known that weak nonlinear media exhibit…