Holonomic quantum computation in subsystems
arXiv:0905.1249 · doi:10.1103/PhysRevLett.103.090502
Abstract
We introduce a generalized method of holonomic quantum computation (HQC) based on encoding in subsystems. As an application, we propose a scheme for applying holonomic gates to unencoded qubits by the use of a noisy ancillary qubit. This scheme does not require initialization in a subspace since all dynamical effects factor out as a transformation on the ancilla. We use this approach to show how fault-tolerant HQC can be realized via 2-local Hamiltonians with perturbative gadgets.
Improved presentation, references added
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Cited by in corpus (16)
- Holonomic quantum control with continuous variable systems
- Geometric phases in quantum information
- Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
- Adiabatic Gate Teleportation
- Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
- Adiabatic Markovian Dynamics
- Adiabatic Cluster State Quantum Computing
- Adiabatic topological quantum computing
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Adiabatic Quantum Transistors
- Highly-Degenerate Photonic Waveguide Structures for Holonomic Computation
- Holonomic quantum computing in symmetry-protected ground states of spin chains
- Making Classical Ground State Spin Computing Fault-Tolerant
- Protection of Logical Qubits via Optimal State Transfers
- General approach to find steady-state manifolds in Markovian and non-Markovian systems
- Geometric and holonomic quantum computation