# Vortical Quantum Memory

@inproceedings{Ikeda2021VorticalQM, title={Vortical Quantum Memory}, author={Kazuki Ikeda and Dmitri E. Kharzeev and Yuta Kikuchi}, year={2021} }

Kazuki Ikeda, ∗ Dmitri E. Kharzeev, 3, † and Yuta Kikuchi ‡ Department of Mathematics and Statistics & Centre for Quantum Topology and Its Applications (quanTA), University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E6, Canada Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA Department of Physics, Brookhaven National Laboratory, Upton, New York 11973-5000

## References

SHOWING 1-10 OF 45 REFERENCES

Topological quantum memory

- Physics
- 2002

We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontrivial topology, and…

Majorana dimers and holographic quantum error-correcting codes

- Computer SciencePhysical Review Research
- 2019

This work introduces a versatile framework of Majorana dimers capturing the intersection of stabilizer and Gaussian Majorana states that elucidates the connection between bulk geometry, entanglement, and quantum error correction in AdS/CFT and lays the foundation for new models of holography.

Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly"

- PhysicsPhysical review letters
- 1988

A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance in the absence of an external magnetic field, and exhibits the so-called "parity anomaly" of (2+1)-dimensional field theories.

Optical quantum memory

- Physics
- 2009

Quantum memory is essential for the development of many devices in quantum information processing, including a synchronization tool that matches various processes within a quantum computer, an…

Topological Aspects of Matters and Langlands Program

- Physics
- 2018

In the framework of Langlands program, we offer a unified description of the integer and fractional quantum Hall effect as well as the fractal nature of energy spectra of 2d Bloch electrons. We…

Symmetry protection of topological phases in one-dimensional quantum spin systems

- Physics
- 2012

We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-S Haldane phase is a topologically nontrivial…

Dynamical Topological Transitions in the Massive Schwinger Model with a θ Term.

- PhysicsPhysical review letters
- 2019

This work identifies dynamical quantum phase transitions between different topological sectors that appear after sufficiently strong quenches of the θ parameter, and establishes a general dynamical topological order parameter, which can be accessed through fermion two-point correlators and, importantly, can be applied for interacting theories.

Chern number and edge states in the integer quantum Hall effect.

- PhysicsPhysical review letters
- 1993

The relation between two different interpretations of the Hall conductance as topological invariants is clarified and it is found that vortices are given by the edge states when they are degenerate with the bulk states.

Efficient quantum memory for light

- PhysicsNature
- 2010

A low-noise, highly efficient quantum memory for light that uses a solid-state medium that allows the storage and recall of light more faithfully than is possible using a classical memory, for weak coherent states at the single-photon level through to bright states of up to 500 photons.