# Two photons co- and counterpropagating through N cross-Kerr sites

@article{Brod2016TwoPC, title={Two photons co- and counterpropagating through N cross-Kerr sites}, author={Daniel Jost Brod and Joshua Combes and Julio Gea-Banacloche}, journal={Physical Review A}, year={2016}, volume={94}, pages={023833} }

A cross-Kerr interaction produces a phase shift on two modes of light proportional to the number of photons in both modes and is sometimes called cross-phase modulation. Cross-Kerr nonlinearities have many applications in classical and quantum nonlinear optics, including the possibility of a deterministic and all-optical controlled-phase gate. We calculate the one- and two-photon $S$ matrices for fields propagating in a medium where the cross-Kerr interaction is spatially distributed at…

## 27 Citations

### Two-photon self-Kerr nonlinearities for quantum computing and quantum optics

- PhysicsPhysical Review A
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The self-Kerr interaction is an optical nonlinearity that produces a phase shift proportional to the square of the number of photons in the field. At present, many proposals use nonlinearities to…

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We present a fully passive method for implementing a quantum phase gate between two photons travelling in a one-dimensional wave guide. The gate is based on chirally coupled emitters in a three-level…

### Analytical results for a conditional phase shift between single-photon pulses in a nonlocal nonlinear medium

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- 2017

It has been suggested that second-order nonlinearities could be used for quantum logic at the single-photon level. Specifically, successive two-photon processes in principle could accomplish the…

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- 2020

We derive a generalized master equation for multiphoton pulses interacting with multiple emitters in a waveguide-quantum electrodynamics system where the emitter frequency can be modulated and the…

### On the Response of a Two-Level System to Two-Photon Inputs

- PhysicsSIAM J. Control. Optim.
- 2019

The simulation results base on the analytic forms of output two-photon states are consistent with those based on quantum master or filter equations, which have been observed in physical settings such as cavity opto-mechanical systems and Keer nonlinear cavities.

### Passive CPHASE Gate via Cross-Kerr Nonlinearities.

- PhysicsPhysical review letters
- 2016

A gate constructed from a discrete set of atom-mediated cross-Kerr interaction sites with counterpropagating photons is proposed, showing that the average gate fidelity F between a cphase and the proposed gate increases as the number of interaction sites increases and the spectral width of the photon decreases.

### Real-space time dynamics in waveguide QED: bound states and single-photon-pulse scattering

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Real-space approaches are known to provide exact solutions for steady-state single-photon transport in quantum networks of various types of emitters. We show that these approaches can also provide…

### On dynamics of a two-qubit coherent feedback network driven by two photons

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- 2018

The purpose of this paper is to study the dynamics of a quantum coherent feedback network composed of two two-level systems (qubits) driven by two counter-propagating photons. The coherent feedback…

### Passive, deterministic photonic conditional-phase gate via two-level systems

- PhysicsPhysical Review A
- 2019

Photons are one of the best carriers of quantum information, as they interact only weakly with the environment, and photon processes are fast and efficient. Despite these advantages, two main issues…

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