Interfacing with Hamiltonian Dynamics

Abstract

Simple constructions and protocols are demonstrated to allow the implementation of universal quantum computation on an arbitrarily large quantum system by controlling a fixed number of spins, vastly reducing the engineering requirements in comparison to a direct implementation of the circuit model. Analytic pulse sequences are derived for deterministic gate operation and system cooling which only require pulse strengths that are comparable to the intrinsic Hamiltonian of the system.

9 pages, 4 figures v2: small correction to cooling section

References in corpus (18)

• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Mirror Inversion of Quantum States in Linear Registers
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• The Propagation of Quantum Information Through a Spin System
• Arbitrarily accurate composite pulses
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Globally controlled quantum wires for perfect qubit transport, mirroring and computing
• State Transfer and Spin Measurement
• Optimal state encoding for quantum walks and quantum communication over spin systems
• Hamiltonian Quantum Cellular Automata in 1D
• Quantum simulators, continuous-time automata, and translationally invariant systems
• A universally programmable Quantum Cellular Automaton
• Universal quantum interfaces
• Global controllability with a single local actuator
• Statics and Dynamics of Quantum XY and Heisenberg Systems on Graphs
• The Computational Power of Symmetric Hamiltonians

Cited by in corpus (14)

• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Long quantum channels for high-quality entanglement transfer
• Perfect Quantum Routing in Regular Spin Networks
• Landau-Zener topological quantum state transfer
• Computation on Spin Chains with Limited Access
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Quantum state transfer via Bloch oscillations
• Generating Quantum States through Spin Chain Dynamics
• Adiabatic quantum state transfer in tight-binding chains using periodic driving fields
• Tailoring Spin Chain Dynamics for Fractional Revivals
• Achievable Qubit Rates for Quantum Information Wires
• Topological state transfers in cavity-magnon system
• Quantum correlations between distant qubits conveyed by large-$S$ spin chains
• Incorporating Encoding into Quantum System Design