Robust Two-Qubit Gates for Exchange-Coupled Qubits

Abstract

We present composite pulse sequences that perform fault-tolerant two-qubit gate operations on exchange-only quantum dot spin qubits in various experimentally relevant geometries. We show how to perform dynamically corrected two-qubit gates in exchange-only systems with the leading hyperfine error term cancelled. These pulse sequences are constructed to conform to the realistic experimental constraint of strictly non-negative couplings. We establish that our proposed pulse sequences lead to several orders of magnitude improvement in the gate fidelity compared with their uncorrected counterparts. Together with single-qubit dynamically corrected gates, our results enable noise-resistant universal quantum operations with exchange-only qubits.

10 pages, 11 figures (revised version)

References in corpus (5)

• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Coherent spin manipulation in an exchange-only qubit
• Noise-resistant control for a spin qubit array
• The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model
• Average Fidelity in n-Qubit systems

Cited by in corpus (16)

• Semiconductor Spin Qubits
• Three-electron spin qubits
• Entangling distant resonant exchange qubits via circuit quantum electrodynamics
• Coupling of three-spin qubits to their electric environment
• The asymmetric resonant exchange qubit under the influence of electrical noise
• Universal Set of Quantum Gates for Double-Dot Exchange-Only Spin Qubits with Intradot Coupling
• Exact CNOT Gates with a Single Nonlocal Rotation for Quantum-Dot Qubits
• Analytic Pulse Sequence Construction for Exchange-Only Quantum Computation
• A Simple Derivation of the Fong-Wandzura Pulse Sequence
• Characterisation of an exchange-based two-qubit gate for resonant exchange qubits
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Efficient Two-Qubit Pulse Sequences Beyond CNOT
• Approximate exchange-only entangling gates for the three-spin-$1/2$ decoherence-free subsystem
• Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
• Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
• Jenga-Krotov algorithm: Efficient compilation of multi-qubit gates for exchange-only qubits