Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals

• URL: http://arxiv.org/abs/2108.04498v1
• Date: Tue, 10 Aug 2021 08:09:46 GMT
• Title: Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals
• Authors: Adam Kinos, Lars Rippe, Stefan Kr\"oll, Andreas Walther
• Abstract summary: We find gate errors for arbitrary single-qubit gates of $2.1cdot 10-4$ when ISD is not considered and $3.4cdot 10-4$ when we take heed to minimize it. We construct two-qubit gates with errors ranging from $5cdot 10-4 rightarrow 3cdot 10-3$ over a broad range of dipole-dipole interaction strengths.
• Score: 0.568041607842355
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum computers based on rare-earth-ion-doped crystals show promising properties in terms of scalability and connectivity if single ions can be used as qubits. Through simulations, we investigate gate operations on such qubits and discuss how gate and system parameters affect gate errors, the required frequency bandwidth per qubit, and the risk of instantaneous spectral diffusion (ISD) occurring. Furthermore, we examine how uncertainties in the system parameters affect the gate errors, and how precisely the system needs to be known. We find gate errors for arbitrary single-qubit gates of $2.1\cdot 10^{-4}$ when ISD is not considered and $3.4\cdot 10^{-4}$ when we take heed to minimize it. Additionally, we construct two-qubit gates with errors ranging from $5\cdot 10^{-4} \rightarrow 3\cdot 10^{-3}$ over a broad range of dipole-dipole interaction strengths.

Related papers

• Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits [84.60542868688235]
  leakage out of the computational subspace arising from the multi-level structure of qubit implementations. We present a resource-efficient universal leakage reduction unit for superconducting qubits using parametric flux modulation. We demonstrate that using the leakage reduction unit in repeated weight-two stabilizer measurements reduces the total number of detected errors in a scalable fashion.
  arXiv  Detail & Related papers  (2023-09-13T16:21:32Z)
• Focusing of quantum gate interactions using dynamical decoupling [0.0]
  In 1995, Cirac and Zoller proposed the first concrete implementation of a small-scale quantum computer. Here we propose a method to focus entangling gate interactions, but driven by microwave fields, to micron-sized zones. We demonstrate the ability to suppress the spin-dependent force using a single ion, and find the required interaction introduces $3.7(4)times 10-4$ error per emulated gate in a single-qubit benchmarking sequence.
  arXiv  Detail & Related papers  (2023-09-05T11:01:38Z)
• Quantum control landscape for generation of $H$ and $T$ gates in an open qubit with both coherent and environmental drive [57.70351255180495]
  An important problem in quantum computation is generation of single-qubit quantum gates such as Hadamard ($H$) and $pi/8$ ($T$) Here we consider the problem of optimal generation of $H$ and $T$ gates using coherent control and the environment as a resource acting on the qubit via incoherent control.
  arXiv  Detail & Related papers  (2023-09-05T09:05:27Z)
• Cat-qubit-inspired gate on cos($2\theta$) qubits [77.34726150561087]
  We introduce a single-qubit $Z$ gate inspired by the noise-bias preserving gate of the Kerr-cat qubit. This scheme relies on a $pi$ rotation in phase space via a beamsplitter-like transformation between a qubit and ancilla qubit.
  arXiv  Detail & Related papers  (2023-04-04T23:06:22Z)
• Error per single-qubit gate below $10^{-4}$ in a superconducting qubit [14.29906536440178]
  We fabric a transmon qubit with long coherence times and demonstrate single-qubit gates with the average gate error below $10-4$. The demonstration extends the upper limit that the average fidelity of single-qubit gates can reach in a transmon-qubit system.
  arXiv  Detail & Related papers  (2023-02-17T04:43:38Z)
• Comparison of Spontaneous Emission in Trapped Ion Multiqubit Gates at High Magnetic Fields [0.0]
  A leading source of decoherence in laser-based multiqubit operations on trapped ions is off-resonant spontaneous emission. We examine theoretically the impacts of spontaneous emission on quantum gates performed with trapped ions in a high magnetic field. We show that both gates can have similar performance at their optimal operating conditions.
  arXiv  Detail & Related papers  (2022-12-06T23:28:57Z)
• Quantifying the effect of gate errors on variational quantum eigensolvers for quantum chemistry [0.0]
  Variational quantum eigensolvers (VQEs) are leading candidates to demonstrate near-term quantum advantage. We numerically quantify their level of tolerable depolarizing gate-errors.
  arXiv  Detail & Related papers  (2022-11-08T19:05:38Z)
• Coherent effects contribution to a fast gate fidelity in ion quantum computer [47.187609203210705]
  We develop a numerical model for full simulation of coherence effects using a linear ion microtrap array and a 2D microtrap array. We have also studied the dependency of the gate fidelity on the laser power fluctuations.
  arXiv  Detail & Related papers  (2021-12-12T12:53:00Z)
• Experimental Characterization of Fault-Tolerant Circuits in Small-Scale Quantum Processors [67.47400131519277]
  A code's logical gate set may be deemed fault-tolerant for gate sequences larger than 10 gates. Some circuits did not satisfy the fault tolerance criterion. It is most accurate to assess the fault tolerance criterion when the circuits tested are restricted to those that give rise to an output state with a low dimension.
  arXiv  Detail & Related papers  (2021-12-08T01:52:36Z)
• Quantum simulation of $\phi^4$ theories in qudit systems [53.122045119395594]
  We discuss the implementation of quantum algorithms for lattice $Phi4$ theory on circuit quantum electrodynamics (cQED) system. The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates.
  arXiv  Detail & Related papers  (2021-08-30T16:30:33Z)
• Systematic error tolerant multiqubit holonomic entangling gates [11.21912040660678]
  We propose to realize high-fidelity holonomic $(N+1)$-qubit controlled gates using Rydberg atoms confined in optical arrays or superconducting circuits. Our study paves a new route to build robust multiqubit gates with Rydberg atoms trapped in optical arrays or with superconducting circuits.
  arXiv  Detail & Related papers  (2020-12-05T03:00:47Z)

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.