Dynamical decoupling of a geometric qubit
- URL: http://arxiv.org/abs/2002.10596v1
- Date: Mon, 24 Feb 2020 23:59:29 GMT
- Title: Dynamical decoupling of a geometric qubit
- Authors: Yuhei Sekiguchi, Yusuke Komura and Hideo Kosaka
- Abstract summary: Quantum bits or qubits naturally decohere by becoming entangled with uncontrollable environments.
Dynamical decoupling is required to disentangle qubits from an environment by periodically reversing the qubit bases.
We show that simply by introducing detuning, the dynamical decoupling of a geometric qubit can be made to spontaneously suppress error accumulation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum bits or qubits naturally decohere by becoming entangled with
uncontrollable environments. Dynamical decoupling is thereby required to
disentangle qubits from an environment by periodically reversing the qubit
bases, but this causes rotation error to accumulate. Whereas a conventional
qubit is rotated within the SU(2) two-level system, a geometric qubit defined
in the degenerate subspace of a V-shaped SU(3) three-level system is
geometrically rotated via the third ancillary level to acquire a geometric
phase. We here demonstrate that, simply by introducing detuning, the dynamical
decoupling of the geometric qubit on a spin triplet electron in a
nitrogen-vacancy center in diamond can be made to spontaneously suppress error
accumulation. The geometric dynamical decoupling extends the coherence time of
the geometric qubit up to 1.9 ms, limited by the relaxation time, with 128
decoupling gates at room temperature. Our technique opens a route to holonomic
quantum memory for use in various quantum applications requiring sequential
operations
Related papers
- Universal quantum gates by nonadiabatic holonomic evolution for the
surface electron [7.705629587639627]
We propose a scheme to realize nonadiabatic holonomic quantum gates in a surface electron system.
The fidelity of the output state exceeds 0.99 with experimentally achievable parameters.
arXiv Detail & Related papers (2023-07-19T10:58:08Z) - Tight lower bounds on the time it takes to generate a geometric phase [0.0]
We show that the evolution time of a cyclically evolving quantum system is restricted by the system's energy resources and the geometric phase acquired by the state.
We derive and examine three tight lower bounds on the time required to generate any prescribed Aharonov-Anandan geometric phase.
arXiv Detail & Related papers (2023-05-20T10:01:48Z) - Complementarity between quantum entanglement, geometrical and dynamical appearances in N spin-$1/2$ system under all-range Ising model [0.0]
Modern geometry studies the interrelations between elements such as distance and curvature.
We explore these structures in a physical system of $N$ interaction spin-$1/2$ under all-range Ising model.
arXiv Detail & Related papers (2023-04-11T15:26:19Z) - Geometric phases along quantum trajectories [58.720142291102135]
We study the distribution function of geometric phases in monitored quantum systems.
For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle.
For the same parameters, the density matrix does not show any interference.
arXiv Detail & Related papers (2023-01-10T22:05:18Z) - Geometrical, topological and dynamical description of $\mathcal{N}$
interacting spin-$\mathtt{s}$ under long-range Ising model and their
interplay with quantum entanglement [0.0]
This work investigates the connections between integrable quantum systems with quantum phenomena exploitable in quantum information tasks.
We find the relevant dynamics, identify the corresponding quantum phase space and derive the associated Fubini-Study metric.
By narrowing the system to a two spin-$mathtts$ system, we explore the relevant entanglement from two different perspectives.
arXiv Detail & Related papers (2022-10-29T11:53:14Z) - Geometric phase and its applications: topological phases, quantum walks
and non-inertial quantum systems [0.0]
We have proposed a fresh perspective of geodesics and null phase curves, which are key ingredients in understanding the geometric phase.
We have also looked at a number of applications of geometric phases in topological phases, quantum walks, and non-inertial quantum systems.
arXiv Detail & Related papers (2022-09-11T08:01:17Z) - Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity.
For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles.
In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
arXiv Detail & Related papers (2021-12-22T15:27:30Z) - Geometric phase in a dissipative Jaynes-Cummings model: theoretical
explanation for resonance robustness [68.8204255655161]
We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models.
In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls.
We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
arXiv Detail & Related papers (2021-10-27T15:27:54Z) - Quantum anomalous Hall phase in synthetic bilayers via twistless
twistronics [58.720142291102135]
We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions.
We show that our system exhibits topologicalband structures under appropriate conditions.
arXiv Detail & Related papers (2020-08-06T19:58:05Z) - Engineering multipartite entangled states in doubly pumped parametric
down-conversion processes [68.8204255655161]
We investigate the quantum state generated by optical parametric down-conversion in a $chi(2) $ medium driven by two modes.
The analysis shows the emergence of multipartite, namely 3- or 4-partite, entangled states in a subset of the modes generated by the process.
arXiv Detail & Related papers (2020-07-23T13:53:12Z) - Radiative topological biphoton states in modulated qubit arrays [105.54048699217668]
We study topological properties of bound pairs of photons in spatially-modulated qubit arrays coupled to a waveguide.
For open boundary condition, we find exotic topological bound-pair edge states with radiative losses.
By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.
arXiv Detail & Related papers (2020-02-24T04:44:12Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.