Incorporating Encoding into Quantum System Design

Abstract

When creating a quantum system whose natural dynamics provide useful computational operations, designers have two key tools at their disposal: the (constrained) choice of both the Hamiltonian and the the initial state of the system (an encoding). Typically, we fix the design, and utilise encodings post factum to tolerate experimental imperfections. In this paper, we describe a vital insight that incorporates encoding into the design process, with radical consequences. This transforms the study of perfect state transfer from the unrealistic scenario of specifying the Hamiltonian of an entire system to the far more realistic situation of being given a Hamiltonian over which we had no choice in the design, and designing time control of just two parameters to still achieve perfect transfer.

arXiv comment10 pages, 5 figures

References in corpus (20)

• Quantum Computing in the NISQ era and beyond
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Mirror Inversion of Quantum States in Linear Registers
• The Propagation of Quantum Information Through a Spin System
• Spin Chains as Perfect Quantum State Mirrors
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Communication at the quantum speed limit along a spin chain
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Optimal state encoding for quantum walks and quantum communication over spin systems
• Efficient and perfect state transfer in quantum chains
• Asymptotically perfect efficient quantum state transfer across uniform chains with two impurities
• Interfacing with Hamiltonian Dynamics
• Quantum Control Theory for State Transformations: Dark States and their Enlightenment
• Combatting the Effects of Disorder in Quantum State Transfer
• Noise reducing encoding strategies for spin chains