Entangling-gate error from coherently displaced motional modes of
trapped ions
- URL: http://arxiv.org/abs/2109.04395v2
- Date: Fri, 10 Sep 2021 16:50:57 GMT
- Title: Entangling-gate error from coherently displaced motional modes of
trapped ions
- Authors: B. P. Ruzic, T. A. Barrick, J. D. Hunker, R. J. Law, B. K. McFarland,
H. M. McGuinness, L. P. Parazzoli, J. D. Sterk, J. W. Van Der Wall, D. Stick
- Abstract summary: Entangling gates in trapped-ion quantum computing have primarily targeted stationary ions with initial motional distributions that are thermal and close to the ground state.
Future systems will likely incur significant non-thermal excitation due to, e.g., ion transport, longer operational times, and increased spatial extent of the trap array.
We analyze the impact of such coherent motional excitation on entangling-gate error by performing simulations of Molmer-Sorenson gates on a pair of trapped-ion qubits with both thermal and coherent excitation present in a shared motional mode at the start of the gate.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entangling gates in trapped-ion quantum computing have primarily targeted
stationary ions with initial motional distributions that are thermal and close
to the ground state. However, future systems will likely incur significant
non-thermal excitation due to, e.g., ion transport, longer operational times,
and increased spatial extent of the trap array. In this paper, we analyze the
impact of such coherent motional excitation on entangling-gate error by
performing simulations of Molmer-Sorenson (MS) gates on a pair of trapped-ion
qubits with both thermal and coherent excitation present in a shared motional
mode at the start of the gate. We discover that a small amount of coherent
displacement dramatically erodes gate performance in the presence of
experimental noise, and we demonstrate that applying only limited control over
the phase of the displacement can suppress this error. We then use experimental
data from transported ions to analyze the impact of coherent displacement on
MS-gate error under realistic conditions.
Related papers
- Dynamics Reflects Quantum Phase Transition of Rabi Model [0.0]
A breakdown in the rotating wave approximation of the Rabi model leads to phase transition versus coupling strength.
We show that the dynamics of physical quantities can reflect such a phase transition for this model.
This work offers an idea to explore phase transitions by non-equilibrium process for open quantum systems.
arXiv Detail & Related papers (2023-09-13T14:45:07Z) - Scaling of entangling-gate errors in large ion crystals [7.018934520552165]
We present an analysis on arbitrary scale ion chain and focus on motional-related errors.
We theoretically analyze two-qubit entangling-gate infidelity in a large ion crystal.
arXiv Detail & Related papers (2023-05-10T09:46:47Z) - Reminiscence of classical chaos in driven transmons [117.851325578242]
We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic.
Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
arXiv Detail & Related papers (2022-07-19T16:04:46Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - Locality of Spontaneous Symmetry Breaking and Universal Spacing
Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM)
We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
arXiv Detail & Related papers (2022-02-23T19:00:06Z) - One- and two-qubit gate infidelities due to motional errors in trapped
ions and electrons [7.6483834331380205]
We derive analytic formulae that determine the effect of error mechanisms on one- and two-qubit gates in trapped ions and electrons.
First, we analyze, and derive expressions for, the effect of driving field inhomogeneities on one-qubit gate fidelities.
Second, we derive expressions for two-qubit gate errors, including static motional frequency shifts, trap anharmonicities, heating, and motional dephasing.
arXiv Detail & Related papers (2021-11-02T22:07:20Z) - Quantum correlations, entanglement spectrum and coherence of
two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
We study the ground state properties of the one-dimensional extended Hubbard model at half-filling.
In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
arXiv Detail & Related papers (2021-10-29T21:02:24Z) - Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor.
We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied.
We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
arXiv Detail & Related papers (2021-09-08T11:18:50Z) - Localization transition induced by programmable disorder [0.24629531282150877]
Many-body localization occurs on a spin-1/2 transverse-field Ising model.
We observe a transition from an ergodic phase to a non-thermal phase for individual energy eigenstates.
We realize the time-independent disordered Ising Hamiltonian experimentally on a D-Wave 2000Q programmable quantum annealer.
arXiv Detail & Related papers (2021-08-15T15:37:32Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z)
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.