Adiabatic Quantum Transistors

Abstract

We describe a many-body quantum system which can be made to quantum compute by the adiabatic application of a large applied field to the system. Prior to the application of the field quantum information is localized on one boundary of the device, and after the application of the field this information has propagated to the other side of the device with a quantum circuit applied to the information. The applied circuit depends on the many-body Hamiltonian of the material, and the computation takes place in a degenerate ground space with symmetry-protected topological order. Such adiabatic quantum transistors are universal adiabatic quantum computing devices which have the added benefit of being modular. Here we describe this model, provide arguments for why it is an efficient model of quantum computing, and examine these many-body systems in the presence of a noisy environment.

18 pages, 10 figures; v2 improved clarity and other (mostly) minor changes; published version

References in corpus (11)

• DMRG and periodic boundary conditions: a quantum information perspective
• Simple proof of equivalence between adiabatic quantum computation and the circuit model
• Symmetry-protected phases for measurement-based quantum computation
• Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
• Quantum computation on the edge of a symmetry-protected topological order
• Identifying phases of quantum many-body systems that are universal for quantum computation
• Topological order in 1D Cluster state protected by symmetry
• A simple nearest-neighbor two-body Hamiltonian system for which the ground state is a universal resource for quantum computation
• Fault-tolerant holonomic quantum computation
• On fault-tolerance with noisy and slow measurements
• Holonomic quantum computation in subsystems

Cited by in corpus (12)

• Stable adiabatic quantum batteries
• Eigenstate Tracking in Open Quantum Systems
• Generalized Cluster States Based on Finite Groups
• Adiabatic and Hamiltonian computing on a 2D lattice with simple 2-qubit interactions
• Adiabatic topological quantum computing
• 3-Fermion topological quantum computation
• Native Conditional $i$SWAP Operation with Superconducting Artificial Atoms
• Symmetry-protected adiabatic quantum transistors
• Voltage-controlled Hubbard spin transistor
• Adiabatic graph-state quantum computation
• Robust symmetry-protected metrology with the Haldane phase
• Dynamics for the Haldane phase in the Bilinear-Biquadratic Model