Stabilization of multi-mode Schrodinger cat states via normal-mode
dissipation engineering
- URL: http://arxiv.org/abs/2103.12457v2
- Date: Tue, 16 Nov 2021 14:43:47 GMT
- Title: Stabilization of multi-mode Schrodinger cat states via normal-mode
dissipation engineering
- Authors: Petr Zapletal, Andreas Nunnenkamp, Matteo Brunelli
- Abstract summary: Non-Gaussian quantum states have been deterministically prepared and autonomously stabilized in single- and two-mode circuit quantum electrodynamics architectures.
We upgrade dissipation engineering to collective (normal) modes of nonlinear resonator arrays and show how to stabilize multi-mode Schrodinger cat states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-Gaussian quantum states have been deterministically prepared and
autonomously stabilized in single- and two-mode circuit quantum electrodynamics
architectures via engineered dissipation. However, it is currently unknown how
to scale up this technique to multi-mode non-Gaussian systems. Here, we upgrade
dissipation engineering to collective (normal) modes of nonlinear resonator
arrays and show how to stabilize multi-mode Schrodinger cat states. These
states are multi-photon and multi-mode quantum superpositions of coherent
states in a single normal mode delocalized over an arbitrary number of
cavities. We consider tailored dissipative coupling between resonators that are
parametrically driven and feature an on-site nonlinearity, which is either a
Kerr-type nonlinearity or an engineered two-photon loss. For both types of
nonlinearity, we find the same exact closed-form solutions for the
two-dimensional steady-state manifold spanned by superpositions of multi-mode
Schrodinger cat states. We further show that, in the Zeno limit of strong
dissipative coupling, the even parity multi-mode cat state can be
deterministically prepared from the vacuum. Remarkably, engineered two-photon
loss gives rise to a fast relaxation towards the steady state, protecting the
state preparation against decoherence due to intrinsic single-photon losses and
imperfections in tailored dissipative coupling, which sets in at longer times.
The relaxation time is independent of system size making the state preparation
scalable. Multi-mode cat states are naturally endowed with a noise bias that
increases exponentially with system size and can thus be exploited for enhanced
robust encoding of quantum information.
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