Quantum Speed Limits for Quantum Information Processing Tasks

Abstract

We derive algebraic bounds on achievable rates for quantum state transfer and entanglement generation in general quantum systems. We apply these bounds to graph-based models of local quantum spin systems to obtain speed limits on these tasks. A comparison to numerical optimal control results for spin chains suggests that unexplored regions of the dynamical landscape may support enhanced performance of key quantum information processing tasks.

References in corpus (3)

• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Nearly-linear light cones in long-range interacting quantum systems
• Communication at the quantum speed limit along a spin chain

Cited by in corpus (24)

• Hierarchy of linear light cones with long-range interactions
• Tight, robust, and feasible quantum speed limits for open dynamics
• Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
• Signaling and Scrambling with Strongly Long-Range Interactions
• Operational definition of a quantum speed limit
• Almost Markovian processes from closed dynamics
• The roles of drift and control field constraints upon quantum control speed limits
• On Lieb-Robinson bounds for the Bose-Hubbard model
• Dependence of the Quantum Speed Limit on System Size and Control Complexity
• Fast and robust magnon transport in a spin chain
• Bhatia-Davis formula in the quantum speed limit
• Optimal Control in Disordered Quantum Systems
• Quantum-capacity bounds in spin-network communication channels
• Quantum speed of evolution in a Markovian bosonic environment
• On Lieb-Robinson bounds for a class of continuum fermions
• Time-Polynomial Lieb-Robinson bounds for finite-range spin-network models
• Family of attainable geometric quantum speed limits
• Enhanced Lieb-Robinson bounds for commuting long-range interactions
• Entanglement Propagation in Integrable Heisenberg Chains from a New Lens
• Probing quantum phase transition via quantum speed limit
• Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Equilibration and Typicality in Quantum Processes
• Quantum speedup from nonclassical polarization