# Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits

@article{Santos2020MultidimensionalDS, title={Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits}, author={Raul A Santos and Fernando Iemini and Alex Kamenev and Yuval Gefen}, journal={arXiv: Strongly Correlated Electrons}, year={2020} }

Quantum systems are always subject to interactions with an environment, typically resulting in decoherence and distortion of quantum correlations. It has been recently shown that a controlled interaction with the environment may actually help to create a state, dubbed as {\em ``dark''}, which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different orthogonal states act as a computational basis. We… Expand

#### References

SHOWING 1-10 OF 40 REFERENCES

Symmetry-protected dissipative preparation of matrix product states

- Physics, Mathematics
- Physical Review A
- 2021

We propose and analyze a method for efficient dissipative preparation of matrix product states that exploits their symmetry properties. Specifically, we construct an explicit protocol that makes use… Expand

Quantum state tomography across the exceptional point in a single dissipative qubit

- Physics
- Nature Physics
- 2019

Open systems with gain and loss, described by non-trace-preserving, non-Hermitian Hamiltonians, have been a subject of intense research recently. The effect of exceptional-point degeneracies on the… Expand

Stationary state degeneracy of open quantum systems with non-abelian symmetries

- Physics, Mathematics
- 2019

We study the null space degeneracy of open quantum systems with multiple non-Abelian, strong symmetries. By decomposing the Hilbert space representation of these symmetries into an irreducible… Expand

Coherent oscillations inside a quantum manifold stabilized by dissipation

- Physics, Mathematics
- 2017

Manipulating the state of a logical quantum bit usually comes at the expense of exposing it to decoherence. Fault-tolerant quantum computing tackles this problem by manipulating quantum information… Expand

Dissipative topological superconductors in number-conserving systems

- Physics
- 2016

We discuss the dissipative preparation of p-wave superconductors in number-conserving one-dimensional fermionic systems. We focus on two setups: the first one entails a single wire coupled to a bath,… Expand

Momentum-space Landau levels in driven-dissipative cavity arrays

- Physics
- 2016

We theoretically study the driven-dissipative Harper-Hofstadter model on a two-dimensional square lattice in the presence of a weak harmonic trap. Without pumping and loss, the eigenstates of this… Expand

Stabilizing Entanglement via Symmetry-Selective Bath Engineering in Superconducting Qubits.

- Medicine, Physics
- Physical review letters
- 2016

D dissipative stabilization of entanglement between two superconducting transmon qubits is demonstrated in a symmetry-selective manner and suppression of the Bell state of opposite symmetry due to parity selection rules is demonstrated. Expand

Comparing and combining measurement-based and driven-dissipative entanglement stabilization

- Physics
- 2015

We demonstrate and contrast two approaches to the stabilization of qubit entanglement by feedback. Our demonstration is built on a feedback platform consisting of two superconducting qubits coupled… Expand

Geometry and Response of Lindbladians

- Physics, Mathematics
- 2015

Researchers determine how the steady states of a quantum system with multiple such states depend on the initial properties of the system.

Observation of many-body localization of interacting fermions in a quasirandom optical lattice

- Physics, Medicine
- Science
- 2015

This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave. Expand