Resonant cancellation of off-resonant effects in a multilevel qubit

2000/03/10 by Lin Tian, Seth Lloyd · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.62.050301

4 pages, Revtex, submitted for publication

arxiv created 2000/03/10 · openalex publication_date 2000/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Off-resonant effects are a significant source of error in quantum computation. This paper presents a group-theoretic proof that off-resonant transitions to the higher levels of a multilevel qubit can be completely prevented in principle. This result can be generalized to prevent unwanted transitions due to qubit-qubit interactions. A simple scheme exploiting dynamic pulse control techniques is presented that can cancel transitions to higher states to arbitrary accuracy.

Citations

• Quantum Manipulations of Small Josephson Junctions
• Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment
• Codes for the quantum erasure channel
• Josephson-junction qubits with controlled couplings
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Good Quantum Error-Correcting Codes Exist
• Dynamics of the dissipative two-state system

Cited by

• Josephson-phase qubit without tunneling
• Improving the purity of one‐ and two‐qubit gates
• Can quantum chaos enhance the stability of quantum computation?