Quantum memory coupled to cavity modes
arXiv:1011.3762 · doi:10.1103/PhysRevB.83.115415
Abstract
Inspired by spin-electric couplings in molecular magnets, we introduce in the Kitaev honeycomb model a linear modification of the Ising interactions due to the presence of quantized cavity fields. This allows to control the properties of the low-energy toric code Hamiltonian, which can serve as a quantum memory, by tuning the physical parameters of the cavity modes, like frequencies, photon occupations, and coupling strengths. We study the properties of the model perturbatively by making use of the Schrieffer-Wolff transformation and show that, depending on the specific setup, the cavity modes can be useful in several ways. They allow to detect the presence of anyons through frequency shifts and to prolong the lifetime of the memory by enhancing the anyon excitation energy or mediating long-range anyon-anyon interactions with tunable sign. We consider both resonant and largely detuned cavity modes.
16 pages, 6 figures
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- Cellular-automaton decoders for topological quantum memories
- Localization of Toric Code Defects
- Enhanced thermal stability of the toric code through coupling to a bosonic bath
- Cellular automaton decoders of topological quantum memories in the fault tolerant setting
- Quantum memories and error correction
- Kitaev spin models from topological nanowire networks
- Self-correcting quantum memory with a boundary
- Dynamic Generation of Topologically Protected Self-Correcting Quantum Memory
- Fault-tolerant Holonomic Quantum Computation in Surface Codes
- Symmetry protected self correcting quantum memory in three space dimensions
- Effective quantum memory Hamiltonian from local two-body interactions
- Novel Topological Phases and Self-Correcting Memories in Interacting Anyon Systems
- Stable quantum memories with limited measurement