Distance bounds on quantum dynamics

2008/03/29 by Daniel A. Lidar, D. A. Lidar, Paolo Zanardi +3 · 2 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1103/physreva.78.012308

published as Phys. Rev. A 78, 012308 (2008) · 7 pages

arxiv created 2008/03/29 · openalex publication_date 2008/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive rigorous upper bounds on the distance between quantum states in an open-system setting in terms of the operator norm between Hamiltonians describing their evolution. We illustrate our results with an example taken from protection against decoherence using dynamical decoupling.

Citations

• Sufficient conditions for the convergence of the Magnus expansion
• Lower bounds on the complexity of simulating quantum gates
• Fault-tolerant quantum computation for local non-Markovian noise
• Reexamination of Quantum Bit Commitment: the Possible and the Impossible

Cited by

• Adiabatic approximation with exponential accuracy for many-body systems and quantum computation
• Partitioned trace distances