# Stabilizing volume-law entangled states of fermions and qubits using local dissipation

@inproceedings{Pocklington2021StabilizingVE, title={Stabilizing volume-law entangled states of fermions and qubits using local dissipation}, author={Andrew J. Pocklington and Yu-Xin Wang and Yariv Yanay and Aashish A. Clerk}, year={2021} }

We analyze a general method for the dissipative preparation and stabilization of volume-law entangled states of fermionic and qubit lattice systems in 1D (and higher dimensions for fermions). Our approach requires minimal resources: nearest-neighbour Hamiltonian interactions that obey a suitable chiral symmetry, and the realization of just a single, spatially-localized dissipative pairing interaction. In the case of a qubit array, the dissipative model we study is not integrable and maps to an… Expand

#### References

SHOWING 1-10 OF 14 REFERENCES

Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation

- Physics, Mathematics
- 2017

We show how a generalized kind of chiral symmetry can be used to construct highly efficient reservoir engineering protocols for bosonic lattices. These protocols exploit only a single squeezed… Expand

A dissipatively stabilized Mott insulator of photons

- Physics, Medicine
- Nature
- 2019

A versatile method for dissipative preparation of incompressible many-body phases through reservoir engineering is developed and used to stabilize a Mott insulator phase of photons trapped in a superconducting circuit, providing insights into thermalization processes in strongly correlated quantum matter. Expand

Self-verifying variational quantum simulation of lattice models

- Medicine, Physics
- Nature
- 2019

Experiments are presented that demonstrate self-verifying, hybrid, variational quantum simulation of lattice models in condensed matter and high-energy physics, enabling the study of a wide variety of previously intractable target models. Expand

Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process

- Physics, Computer Science
- ArXiv
- 2016

This work completely parametrization the class of $(2\aleph+1)$-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain that is coupled to a single reservoir. Expand

Universal Stabilization of a Parametrically Coupled Qubit.

- Physics, Mathematics
- Physical review letters
- 2017

It is demonstrated that the qubit can be stabilized to arbitrary states on the Bloch sphere with a worst-case fidelity exceeding 80%. Expand

A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains

- Physics
- 2012

We study quantum transport properties of an open Heisenberg XXZ spin 1/2 chain driven by a pair of Lindblad jump operators satisfying a global ?micro-canonical? constraint, i.e. conserving the total… Expand

Quantum harmonic oscillator state synthesis by reservoir engineering

- Medicine, Physics
- Science
- 2015

The mechanical motion of a single trapped ion is used to generate squeezed, coherent, and displaced-squeezed states as steady states in the presence of noise to facilitate studies of entanglement, quantum computation, and open-system quantum simulations in a wide range of physical systems. Expand

Probing Rényi entanglement entropy via randomized measurements

- Physics, Medicine
- Science
- 2019

Here, a protocol for measuring the second-order Rényi entropy based on statistical correlations between randomized measurements is presented and experimentally demonstrated, representing a universal tool for probing and characterizing engineered quantum systems in the laboratory. Expand

Dissipative Stabilization of Squeezing Beyond 3 dB in a Microwave Mode

- Physics
- 2021

While a propagating state of light can be generated with arbitrary squeezing by pumping a parametric resonator, the intra-resonator state is limited to 3 dB of squeezing. Here, we implement a… Expand

Generating entangled microwave radiation over two transmission lines.

- Physics, Medicine
- Physical review letters
- 2012

Using a superconducting circuit, the Josephson mixer, the first experimental realization of spatially separated two-mode squeezed states of microwave light is demonstrated, an unambiguous proof of entanglement. Expand