General off-resonance error robust symmetric composite pulses with three elementary operations
arXiv:2203.05754 · doi:10.1103/PhysRevA.106.042613
Abstract
Accurate quantum control is a key technology for realizing quantum information processing, such as quantum communication and quantum computation. In reality, a quantum state under control suffers from undesirable effects caused by systematic errors. A composite pulse (CP) is used to eliminate the effects of systematic errors during control. One qubit control, which is the most fundamental in quantum control, is typically affected by two errors: pulse length error (PLE) and off-resonance error (ORE). In this study, we focus on ORE-robust CPs and systematically construct ORE-robust symmetric CPs with three elementary operations. We find an infinitely large number of ORE-robust CPs and evaluate their performance according to gate infidelity and operation time, both of which are important for the realization of accurate quantum control.
arXiv comment18 pages, 5 figures
References in corpus (22)
- Quantum Communication
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- NMR Techniques for Quantum Control and Computation
- High-fidelity quantum driving
- Robust quantum control by shaped pulse
- Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
- Arbitrarily accurate composite pulses
- Quantum Computing with NMR
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Error-resistant Single Qubit Gates with Trapped Ions
- High precision quantum control of single donor spins in silicon
- High fidelity one-qubit operations under random telegraph noise
- Use of composite rotations to correct systematic errors in NMR quantum computation
- Achieving High-Fidelity Single-Qubit Gates in a Strongly Driven Charge Qubit with Charge Noise
- Concatenated composite pulses compensating simultaneous systematic errors
- Noise Resistant Quantum Control Using Dynamical Invariants
- Designing short robust NOT gates for quantum computation
- Dynamics of a two-level system under strong driving: quantum gate optimization based on floquet theory
- Robust control of entanglement in a Nitrogen-vacancy centre coupled to a Carbon-13 nuclear spin in diamond
- Detuning-modulated composite pulses for high-fidelity robust quantum control
- Quantum control for high-fidelity multi-qubit gates
- Band-selective shaped pulse for high fidelity quantum control in diamond